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Catalogue of the papers and correspondence of THOMAS BROOKE BENJAMIN FRS; (1929-1995)


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Reference NCUACS 63.1.97
Covering dates 1950 - 1995
Held by Oxford University, Bodleian Library, Special Collections and Western Manuscripts
Extent 275 files
Conditions of access NOT ALL THE MATERIAL IN THIS COLLECTION MAY YET BE AVAILABLE FOR CONSULTATION. ENQUIRIES SHOULD BE ADDRESSED IN THE FIRST INSTANCE TO:
THE KEEPER OF WESTERN MANUSCRIPTS
BODLEIAN LIBRARY
OXFORD
Source of acquisition The papers were received from Mrs Natalia Benjamin (widow) and via Professor John Toland, School of Mathematical Sciences, University of Bath, at various dates in 1996.
The papers in this section were received via Professor John Toland, University of Bath, in 1996.
Creators Benjamin, Thomas Brooke, 1929-1995, scientist and mathematician
Arrangement Presented in a single sequence arranged as far as possible by subject.
Note Compiled by Jeannine Alton and Timothy E. Powell
The work of the National Cataloguing Unit for the Archives of Contemporary Scientists, and the production of this catalogue, are made possible by the support of the following societies and organisations:
The Biochemical Society
The Geological Society
The Higher Education Funding Council for England
The Institute of Physics
The Royal Society
The Wellcome Trust
We are pleased to acknowledge the help of Mrs Natalia Benjamin and Professor John Toland in making the papers available and in helping to date and identify some of the documents and photographs.

Administrative history:
Benjamin was born on 15 April 1929 in Wallasey. Merseyside, and educated at Wallasey Grammar School. He studied electrical engineering at Liverpool University 1947-1950, before moving to Yale University on a Rotary Foundation Fellowship to take an M.Eng. Benjamin then went to Cambridge University where he took his doctorate on cavitation in fluids. He was elected Fellow of King's College, Cambridge in 1955, and appointed Assistant Director of Research 1958-1967 and Reader in Hydrodynamics 1967-1970, working in the Department of Applied Mathematics and Theoretical Physics, Cambridge University, on problems of fluid dynamics such as thin films, wave instability, drag reduction, and vortex breakdown. He was elected Fellow of the Royal Society in 1966, at the early age of 36.
In 1970 Benjamin moved as Professor of Mathematics to the University of Essex, where he set up the Fluid Mechanics Research Institute, to promote interaction between mathematicians and experimentalists in advanced fluid mechanics. In 1979 he accepted appointment to the Sedleian Chair of Natural Philosophy at Oxford, which carried with it Fellowship of The Queen's College. Apart from periods as visiting professor at overseas universities, principally in America, Benjamin remained in Oxford until his death on 16 August 1995.
In addition to his contributions to the study of fluid dynamics, Benjamin retained a lifelong interest in music, as executant (piano and strings), conductor and composer. Somewhat later in life, he also turned to the composition of poetry.
Benjamin was twice married: in 1956 to Helen Ginsburg, by whom he had a son and two daughters; the marriage was dissolved in 1974. In 1978 he married Natalia Court, by whom he had a daughter.

Contents:
SECTION A BIOGRAPHICAL A.1 - A.61
Career, honours and awards A.1 - A.25
Music A.26 - A.32
Poetry A.33 - A.55
Photographs A.56 - A.61
SECTION B NOTES, DRAFTS AND CALCULATIONS B.1 - B.165
University teaching B.1-B.17
Other notes, drafts and calculations B.18-B.165
SECTION C LECTURES, CONFERENCES AND VISITS C.1 - C.41
SECTION D SOCIETIES AND ORGANISATIONS D.1 - D.5
SECTION E MATHEMATICS AND HIGHER EDUCATION E.1 - E.18
National Conference of University Professors (NCUP) E.1-E.14
Articles and writings E.15-E.18
SECTION F CORRESPONDENCE F.1 - F.20
Additional explanatory notes, information and cross-references are appended where appropriate to the separate sections and the individual entries.
The surviving documentation of many aspects of Benjamin's career, is unfortunately sparse; several of his career moves seem to have resulted in the loss or destruction of papers.
Section A, Biographical, provides a useful outline of the principal events of Benjamin's life including his appointment to the Sedleian Professorship at Oxford. His non-professional interests, music and poetry, are well recorded, with examples of Benjamin's own scores and writings on music, and poems, almost all wrtten in 1980.
Section B, Notes, drafts and calculations, is the largest in the collection. It includes material relating to university courses taught by Benjamin and a considerable quantity of notes and other material relating to research, publications and lectures, much of it undated and difficult to assign as to category.
Section C, Lectures, conferences and visits, is far from being a complete record of Benjamin's travel and conference commitments, although something of the extent of his travels and his reputation as a lecturer can be seen. It covers the years 1970-1994.
Section D, Societies and organisations, is slight and does not convey the full involvement of Benjamin in the life of professional mathematical societies, or of his contribution to the publication of learned journals (he was a founder editor of the influential Journal of Fluid Mechanics).
Section E, Mathematics and higher education, records Benjamin's concern with various aspects of higher education, especially the National Conference of University Professors of which he was a founder and first Chairman.
Section F, Correspondence, is slight.



SECTION A BIOGRAPHICAL  NCUACS 63.1.97/A.1-A.61  1969-1995

Contents:
A.1-A.25 CAREER, HONOURS AND AWARDS
A.26-A.32 MUSIC
A.33-A.55 POETRY
A.56-A.61 PHOTOGRAPHS

CAREER, HONOURS AND AWARDS  NCUACS 63.1.97/A.1-A.25  1969-1995

Miscellaneous curricula vitae and biographical information  NCUACS 63.1.97/A.1  1989-1993

Contents:
Compiled at various dates. Includes 'main accomplishments over last three years' (1989-1992), listing recent significant honours and publications.
List of publications to 1993.
References to publications in the form Bibliog.... refer to this list.

Obituary notices and tributes  NCUACS 63.1.97/A.2  n.d

Contents:
The Times
The Independent
The Daily Telegraph
The Guardian
King's College Cambridge Annual Report
The Queen's College Oxford Record
Service of Thanksgiving 27 January 1996; Order of service, addresses by D.G. Crighton, T. Mullin, J.F. Toland.

University of Liverpool  NCUACS 63.1.97/A.3  October 1947-July 1950.

Contents:
Record of courses attended.
Press cuttings.
Letter from unidentified University friend, mainly about music, written shortly before Benjamin's departure for America.
See NCUACS 63.1.97/A.30 for Benjamin's musical activities at Liverpool.

Yale University, Dunham Laboratory  NCUACS 63.1.97/A.4  1950-1952

Contents:
Benjamin spent 1950-1952 as a Rotary Foundation Fellow, obtaining an M.Eng. for work on the effects of ultrasonic frequencies on cavitation in liquids.
Manuscript 'Progress Report of Research Work by B. Benjamin during session 1950-1951', press cuttings.

Award of William Hopkins Prize of the Cambridge Philosophical Society  NCUACS 63.1.97/A.5  1969

Contents:
'For outstanding work on the mechanics of fluids'.
Notification, letter of congratulation.
See NCUACS 63.1.97/A.31 for Benjamin's musical activities at Cambridge.

University of Essex.  NCUACS 63.1.97/A.6, A.7  1970-1978

Contents:
Benjamin was Professor of Mathematics at Essex 1970-1978, where he set up and directed the Fluid Mechanics Research Institute.
In 1974 there was a period of serious student unrest at the University.

Press cuttings  NCUACS 63.1.97/A.6  1971-1977

Contents:
On Benjamin and on research grants for Fluid Mechanics Research Institute
List of visiting professors and seminars at Institute, 1974-1975.
List of 91 research reports published by Institute, 1971-1977.

Press cuttings  NCUACS 63.1.97/A.7  1974

Contents:
On student unrest at Essex, including letters to the press, interviews etc by Benjamin; brief correspondence
See NCUACS 63.1.97/A.32 for Benjamin's musical activities at Essex.

Not used.  NCUACS 63.1.97/A.8  n.d

Sedleian Professorship of Natural Philosophy Oxford.  NCUACS 63.1.97/A.9-A.18  1978

Benjamin's application for the Chair  NCUACS 63.1.97/A.9  November 1977

Contents:
His acceptance of it February 1978, formal acknowledgement of his resignation from Essex February 1978.

Correspondence with references.  NCUACS 63.1.97/A.10  n.d

Letters of congratulation on the Sedleian Chair.  NCUACS 63.1.97/A.11-A.15  1978

A-C.  NCUACS 63.1.97/A.11  1978

D-G.  NCUACS 63.1.97/A.12  1978

H-Mc.  NCUACS 63.1.97/A.13  1978

M-R.  NCUACS 63.1.97/A.14  1978

S-W and unidentified.  NCUACS 63.1.97/A.15  1978

Correspondence and papers about Science Research Council grant  NCUACS 63.1.97/A.16  [n.d.]

Contents:
To Benjamin for 'Studies of hydrodynamic bifurcation phenomena' at Mathematical Institute Oxford. Includes correspondence with T. Mullin who came to work on the project as a post-doctoral researcher and became a long-term collaborator.

Miscellaneous  NCUACS 63.1.97/A.17  1981-1982

Contents:
Teaching, seminar and lecture schedules
Undergraduate report on Benjamin's lecture course, nd.

Distinction award  NCUACS 63.1.97/A.18  1994

Contents:
Letter on proposed collaboration between Meteorological Office and Oxford University, 1994.

Offer of Visiting Professorship  NCUACS 63.1.97/A.19  1980

Contents:
Mathematics Research Center, University of Wisconsin-Madison

Draft of application to Science and Engineering Research Council  NCUACS 63.1.97/A.19A  ca.1987

Contents:
For further grant for research on 'Combined mathematical and experimental research on nonlinear systems'

Honorary Doctorate, University of Bath  NCUACS 63.1.97/A.20  June 1989

Contents:
Oration by University Orator (J. F. Toland), Benjamin's reply on behalf of Honorands.

Brief correspondence  NCUACS 63.1.97/A.21  1990

Contents:
On Benjamin's election to Council of the Royal Society and nomination as a Vice-President.
Honorary Doctorate, Brunel University, July 1991.
Photocopy of certificate only.

Election as Foreign Member, Académie des Sciences, Institut de France  NCUACS 63.1.97/A.22  1993

Contents:
Arrangements for presentation, oration.

Honorary Doctorate, University of Liverpool  NCUACS 63.1.97/A.23  July 1993

Contents:
Correspondence, oration, Benjamin's speech at the ceremony.

Election to Honorary Membership, American Society of Mechanical Engineers  NCUACS 63.1.97/A.24  1994

Contents:
The award was conferred at the Society's International Congress in Chicago, November 1994.
Correspondence about honour, arrangements for conferral, biographical information, press release, letters of congratulation.

Election to Membership, New York Academy of Sciences  NCUACS 63.1.97/A.25  1995

Contents:
Certificate of membership only.

MUSIC  NCUACS 63.1.97/A.26-A.32  1948-1972

Contents:
Benjamin was involved with music throughout his life. As an undergraduate at Liverpool he played a major part in the university's Music Society as violin player, orchestral conductor and choir-master, manager and chairman, and as a composer. He wrote light-hearted music for reviews, pantomimes and performances by 'Pantopera', and more serious works which were regularly performed and attracted favourable critical comment. The university string orchestra, which he founded, performed widely in Liverpool and outside.
At this time, when musical talent at Liverpool was unusually strong - John Shirley-Quirk, Michael Moores and Patricia Routledge were among contemporaries - Benjamin was almost drawn to a full-time career in music. Having decided in favour of science, he kept music firmly in second place at Cambridge, but at Essex he again played an important part in the orchestral and choral concerts of the University Music Society.
Scores and writings on music are at NCUACS 63.1.97/A.26-A.29. The remainder of the material bears witness to his activities through critical comment and printed notices.

String Quartet  NCUACS 63.1.97/A.26  1948

Contents:
Photocopied manuscript score.

'Comedy Overture'  NCUACS 63.1.97/A.27  1953

Contents:
Photocopied manuscript score.

'The Progresse of The Soule'.  NCUACS 63.1.97/A.28  nd

Contents:
Extracts from English metaphysical poets, typescripts with manuscript indication of possible musical settings

History of musical composition and patronage  NCUACS 63.1.97/A.29  nd

Contents:
Manuscript paper, probably for reading to a society

Music at Liverpool.  NCUACS 63.1.97/A.30  1948-1951

Contents:
Programmes, press comments, publicity, announcements, various dates

Music at Cambridge  NCUACS 63.1.97/A.31  1954, 1956

Music at Essex  NCUACS 63.1.97/A.32  1972

Contents:
Includes letter of congratulation from Vice-Chancellor.

POETRY  NCUACS 63.1.97/A.33-A.55  1975-1980

Contents:
Poems written almost entirely in 1980. Indexed by Benjamin's title.

'A saying to my liking'.  NCUACS 63.1.97/A.33  n.d

Contents:
Manuscript and typescript versions.

'Encounter'.  NCUACS 63.1.97/A.34  n.d

Contents:
Manuscript and typescript versions, the latter with an explanatory note.

'First thoughts'.  NCUACS 63.1.97/A.35  [n.d.]

Contents:
Manuscript.

'Four from which Childe Roland went' (on Essex University).  NCUACS 63.1.97/A.36  [n.d.]

Contents:
Typescript.

'Gulls in fields' and 'The mooring cord'.  NCUACS 63.1.97/A.37  [n.d.]

Contents:
Typescript.

'Haiku on science'.  NCUACS 63.1.97/A.38  [n.d.]

Contents:
Heavily corrected manuscript draft, typescript version with an explanatory note.

'Homage'.  NCUACS 63.1.97/A.39  [n.d.]

Contents:
Manuscript with corrections, typescript with an explanatory note.

'In Warsaw'.  NCUACS 63.1.97/A.40  [n.d.]

Contents:
Manuscript sketch, typescript.

'K.529, Act I'.  NCUACS 63.1.97/A.41  [n.d.]

Contents:
Manuscript, typescript with an explanatory note.

'Lesson'.  NCUACS 63.1.97/A.42  [n.d.]

Contents:
Typescript.

'Le monde ancien presque oublie'  NCUACS 63.1.97/A.43  [n.d.]

Contents:
(In French). Manuscript.

'The mooring cord' and untitled.  NCUACS 63.1.97/A.44  [n.d.]

Contents:
Typescript.

'The neutron beam'.  NCUACS 63.1.97/A.45  n.d

Contents:
Manuscript sketches.

'Nightmare'.  NCUACS 63.1.97/A.46  n.d

Contents:
Manuscript, typescript with an explanatory note.

'The old railway'.  NCUACS 63.1.97/A.47  n.d

Contents:
Manuscript and typescript sketches.

'Rayleigh'.  NCUACS 63.1.97/A.48  n.d

Contents:
Manuscript with corrections and an explanatory note.

'Reflection'.  NCUACS 63.1.97/A.49  n.d

Contents:
Manuscript and typescript versions.

'Sleeping baby'.  NCUACS 63.1.97/A.50  n.d

Contents:
Manuscript and typescript versions.

'Soliloquy'.  NCUACS 63.1.97/A.51  n.d

Contents:
Manuscript.

'Sonic boom'.  NCUACS 63.1.97/A.52  n.d

Contents:
Manuscript and two typescript versions.

'Students 1975'  NCUACS 63.1.97/A.53  n.d

Contents:
Multiple manuscript and typescript drafts.

'The worry worm'.  NCUACS 63.1.97/A.54  n.d

Contents:
Manuscript and typescript versions.

Sketches and drafts.  NCUACS 63.1.97/A.55  n.d

PHOTOGRAPHS  NCUACS 63.1.97/A56-A61  1950-1992

Contents:
These are all copies made available by Mrs Benjamin.

Conducting at Liverpool  NCUACS 63.1.97/A.56  ca. 1950

West Freedom Railway, Wisconsin  NCUACS 63.1.97/A.57  1980

Lecturing at Florida  NCUACS 63.1.97/A.58  ca. 1991

Third Anniversary of the founding of the National Conference of University Professors  NCUACS 63.1.97/A.59  1992

With his daughter Victoria  NCUACS 63.1.97/A.60  1992

On election as Associé Etranger, French Academy of Sciences  NCUACS 63.1.97/A.61  1993

SECTION B NOTES, DRAFTS AND CALCULATIONS  NCUACS 63.1.97/B1 - B165  [n.d.]

Contents:
The papers in this section include material for research, lecture notes and drafts for publications but it has not always been possible to distinguish between these categories.
B.1-B.17 UNIVERSITY TEACHING
B.18-B.165 OTHER NOTES, DRAFTS AND CALCULATIONS
B.18-B.143 Shorter notes, drafts, calculations
B.144-B.156 Incomplete longer drafts
B.157-B.164 Miscellaneous
B.165 Notebook

UNIVERSITY TEACHING  NCUACS 63.1.97/B1 - B17  1975-1994

Contents:
Material relating to university courses on identified topics. Further teaching material which cannot be so clearly assigned is to be found in Other notes, drafts and calculations (NCUACS 63.1.97/B.18-B.168).

Applications of D[ifferential] E[quation]s.  NCUACS 63.1.97/B.1  [n.d.]

Contents:
Typescript problem sheet 2 for 'MODS, Trinity Term'; manuscript lecture notes paginated 1-25 with 3pp notes on 'Parametric excitation'.

'B5 Notes'.  NCUACS 63.1.97/B.2-B.4  n.d

Contents:
Contents of Benjamin's folder so inscribed divided into four for ease of reference: manuscript notes re course on Applied and Numerical Analysis.

Review of course; work sheets; 'material not used 1994'.  NCUACS 63.1.97/B.2  1994

Lecture notes, paginated 1-65.  NCUACS 63.1.97/B.3, B.4  n.d

2 folders.

Applied Functional Analysis.  NCUACS 63.1.97/B.5  n.d

Contents:
Typescript class papers and manuscript lecture notes; manuscript draft examination question on 'Topics in Analysis'.

'M.Sc. course (8 lectures Mich. Term)'  NCUACS 63.1.97/B.6, B.7  n.d

Contents:
Contents of Benjamin's folder so inscribed divided into two for ease of reference: manuscript notes for lectures on PDEs, paginated 1-22.

Manuscript notes and transparencies  NCUACS 63.1.97/B.8  8 May 1980

Contents:
Letter from B.D. Sleeman re Benjamin's participation in IMA Symposium

Photocopied manuscript Pure Maths test sheets  NCUACS 63.1.97/B.9  Spring 1975

Manuscript Theoretical Mechanics work sheets  NCUACS 63.1.97/B.10  Nd

Contents of Benjamin's folder divided into two for ease of reference.  NCUACS 63.1.97/B.11, B.12  nd

Manuscript and typescript worksheets.  NCUACS 63.1.97/B.11  n.d

Manuscript lecture notes paginated 1-38.  NCUACS 63.1.97/B.12  n.d

M.Sc. course on Waves and Compressible Flow.  NCUACS 63.1.97/B.13-B.17  n.d

Manuscript lecture notes  NCUACS 63.1.97/B.13  1988, 1989, 1990

Contents:
Paginated 1-20, with later annotations manuscript draft exam question.

Miscellaneous pages of manuscript lecture notes.  NCUACS 63.1.97/B.14  n.d

Manuscript and typescript class papers 1,2, various versions.  NCUACS 63.1.97/B.15  n.d

Manuscript and typescript class papers 3-5, various versions  NCUACS 63.1.97/B.16  n.d

Manuscript and typescript class papers 6-8, various versions.  NCUACS 63.1.97/B.17  n.d

OTHER NOTES, DRAFTS AND CALCULATIONS  NCUACS 63.1.97/B18-B165  1956-1995

Contents:
Some of the material was found in Benjamin's own folders and envelopes, sometimes with an indication of the subject of the material inscribed thereon, but the bulk of the papers were found loose and unordered. The papers include drafts of publications and lectures, teaching material, research notes and calculations and transparencies for illustrating lectures. The bulk of the material is undated.
Where applicable reference has been made to the bibliography at NCUACS 63.1.97/A.1 in the form Bibliog. ...

Notes, drafts and calculations  NCUACS 63.1.97/B.18-B143  1972-1995

'Air lubrication of tape'.  NCUACS 63.1.97/B.18  n.d

Contents:
Manuscript draft paginated 1-13.

'Asymptotics of new solitary wave'.  NCUACS 63.1.97/B.19  n.d

Contents:
Incomplete manuscript calculation paginated 1-6.
'More about asymptotics'.
Manuscript calculation paginated 1-4.

Manuscript draft beginning '4. Estimates for axisymmetric steady motions' paginated 1-5, latest bibliographical reference  NCUACS 63.1.97/B.20  1974

'Generalized BBM equation'.  NCUACS 63.1.97/B.21  1987

Contents:
Photocopied manuscript calculation paginated 1-11, latest bibliographical reference

'BICC wire-unwinding problem'.  NCUACS 63.1.97/B.22  26 February 1981

Contents:
6PP photocopied typescript by D.C.Handscomb

Manuscript notes and transparencies for lecture on bifurcation theory.  NCUACS 63.1.97/B.23  n.d


Related information: See also NCUACS 63.1.97/C.10

Transparencies for lecture.  NCUACS 63.1.97/B.24  n.d


Related information: See also NCUACS 63.1.97/C.10.

Contents:
'R.R. Huilgol Théor, Méc. Univ Paris VI Multi-parameter Bifu Probs - 15 June at Bath Slides 1-5'. Contents of envelope so inscribed.

'Notes about Boussinesq system'.  NCUACS 63.1.97/B.25  20 February 1995

Contents:
Manuscript draft paginated 1-3
'Operator needed in modified Boussinesq system'.
Manuscript calculation paginated 1-3.

'Chaotic bubbles'. Contents of Benjamin's envelope so inscribed.  NCUACS 63.1.97/B.26  n.d

Contents:
Transparencies and figures for lecture.

'Free vibrations of bubbles'.  NCUACS 63.1.97/B.27  1964

Contents:
Manuscript draft paginated 1-9, latest bibliographical reference

'Capillary problem'. Contents of Benjamin's folder so inscribed.  NCUACS 63.1.97/B.28, B.29  1983

Contents:
Incomplete manuscript draft of 'Liquid drops suspended by soap films. Part 1. General formulation and the case of axial symmetry' by Benjamin and A.D. Cocker, 1983. Bibliog. 60.

Summary, Introduction, '2. Equations of equilibrium' paginated 1-8.  NCUACS 63.1.97/B.28  n.d

'4. Axisymmetric drop' and conclusion paginated 1-13, list of references; graphs and data provided by colleague in March and April  NCUACS 63.1.97/B.29  1983.

'Nonlinear capillary problem'. Contents of Benjamin's envelope so inscribed.  NCUACS 63.1.97/B.30  n.d

Contents:
Manuscript calculations.

'Cones Uniqueness'. Contents of Benjamin's folder so inscribed divided into two for ease of reference.  NCUACS 63.1.97/B.31, B.32  n.d

Contents:
Manuscript notes and calculations.

'Contraction mapping principle'.  NCUACS 63.1.97/B.33  n.d

Contents:
Photocopied manuscript calculations paginated 1-8 (lacks p7), with typescript question on the contraction mapping principle.

'The contraction ratio for a sluice-gate on whose vertical parts the fluid velocity is zero'.  NCUACS 63.1.97/B.34  n.d

Contents:
Manuscript calculation.

'New aspects of unsteady Couette flow'.  NCUACS 63.1.97/B.35  [n.d.]


Related information: See also NCUACS 63.1.97/C.13.

Contents:
Typescript draft paginated 1-11 ca.1980, and manuscript notes, figures etc found therewith. Bibliog. 55.

'Slides: Degree th[eor]y.' Contents of Benjamin's envelope so inscribed divided into two for ease of reference.  NCUACS 63.1.97/B.36, B.37  n.d

Letter from W.G. Pritchard, 31 October 1989 enclosing photographs of film thickness during experiments; set of 16 transparencies, latest bibliographical reference 1980.  NCUACS 63.1.97/B.36  1989

Miscellaneous transparencies.  NCUACS 63.1.97/B.37  n.d

'Discontinuities'. Contents of Benjamin's envelope so inscribed divided into three for ease of reference.  NCUACS 63.1.97/B.38-B.40  1986

Contents:
Manuscript drafts, latest bibliographical reference

Energy demand in the United Kingdom.  NCUACS 63.1.97/B.41  1972

Contents:
Manuscript note paginated 1-4, latest reference

'Outline of existence theory'.  NCUACS 63.1.97/B.42  n.d

Contents:
Manuscript calculation paginated 1-4.

Conference lecture  NCUACS 63.1.97/B.43  n.d

Contents:
Manuscript draft beginning '[...] My own interest in f.a. is essentially pragmatic'.
On 'nonlinear positive operators ("positone" problems)' paginated 1-6.

Flows.  NCUACS 63.1.97/B.44  n.d

Contents:
Manuscript notes and transparencies for conference lecture on 'what happens in various flow situations where nonlinear effects are delicately balanced'.

'Gas dynamics'.  NCUACS 63.1.97/B.45  n.d

Contents:
Manuscript calculation paginated 1-5.

'Gravity current in Strat fluids  NCUACS 63.1.97/B.46, B.47  n.d

Contents:
Contents of Benjamin's folder so inscribed divided into two for ease of reference.
Manuscript calculations.

'Gravity currents'.  NCUACS 63.1.97/B.48  9 May 1988

Contents:
Contents of Benjamin's envelope so inscribed.
Letter from M. McIntyre to H. Huppert re lecture by Benjamin, set of 12 transparencies.

'Hamiltonian Structure'.  NCUACS 63.1.97/B.49  n.d

Contents:
Manuscript calculation paginated 1-3.

'Stability of Hill vortex'. Contents of Benjamin's folder so inscribed divided into four for ease of reference.  NCUACS 63.1.97/B.50-B.53  n.d

'The alliance of practical and analytical insights into the nonlinear problems of fluid mechanics'  NCUACS 63.1.97/B.50  [n.d.]

Contents:
By Benjamin, University of Essex Fluid Mechanics Research Institute Report no.67 September 1975. Bound volume with manuscript notes and calculations intercalated.

Miscellaneous manuscript notes and calculations.  NCUACS 63.1.97/B.51-B.53  n.d

3 folders.

'Some recent work on the Hodgkin-Huxley nerve equations'.  NCUACS 63.1.97/B.54  n.d

6 pp

Contents:
Photocopied typescript draft

Manuscript draft  NCUACS 63.1.97/B.55  1987

Contents:
Beginning 'Appendix. A formulation of the complete hydrodynamic problem' paginated 1-6, latest bibliographical reference
Manuscript draft beginning 'Appendix: Formulation of hydrodynamic problem' paginated 1-3.

Contents of Benjamin's folder: manuscript notes, figures and transparencies for lectures on hydrodynamic stability.  NCUACS 63.1.97/B.56  1980s

'Generalization of results for ILW eqn'.  NCUACS 63.1.97/B.57  September 1994

Contents:
Manuscript draft paginated 1-10

'Proof that periodic steady solns of the ILW eqn are parameterized in exactly the same way as those of KdV eqn'.  NCUACS 63.1.97/B.58  September 1994

Contents:
Manuscript draft paginated 1-8

'Simple theory of instability'.  NCUACS 63.1.97/B.59  [n.d.]

Contents:
Photocopied manuscript notes paginated 1-4.

Incomplete manuscript draft on 'Internal waves' paginated 35-76. Latest bibliographical reference 1967. Possibly related to Bibliog. 29.  NCUACS 63.1.97/B.60, B.61  1967

2 folders.

'K & de V eqn'. Contents of Benjamin's folder so inscribed.  NCUACS 63.1.97/B.62  1985

Contents:
Manuscript calculations, some on verso of 1965 duplicated typescript course sheets.

'Generalized KdV equation'.  NCUACS 63.1.97/B.63  1987

Contents:
Manuscript draft paginated 1-24, latest bibliographical reference

'Slides Lecture on gen[eralize]d KdV eqn Hull 13/5/93)'. Contents of Benjamin's envelope so inscribed.  NCUACS 63.1.97/B.64  [n.d.]

Transparencies.

'Kelvin - Amol'd'.  NCUACS 63.1.97/B.65  1967

Contents:
Manuscript calculation paginated 1-13, with later addition. Latest bibliographical reference 1967.

'Reappraisal of the Kelvin-Helmholtz problem'. Part 1. Hamiltonian Structure' by Benjamin and T.J. Bridges. Bibliog. 74.  NCUACS 63.1.97/B.66-B.68  n.d

3 folders.

Contents:
Manuscript draft for publication.

'Applications of Leray-Schauder degree theory to problems of hydrodynamic stability'. Bibliog. 41.  NCUACS 63.1.97/B.69  n.d

Contents:
Manuscript draft paginated 1-21.

Navier-Stokes problems.  NCUACS 63.1.97/B.70  [n.d.]

Transparencies.

'Some qualitative properties of Nagumo's Nerve Axon Equation'.  NCUACS 63.1.97/B.71  1972

Contents:
13pp typescript draft by M. Green, ca.1972, with covering letter inviting Benjamin to comment and to add his name to the paper, manuscript note by Benjamin on 'Nagumo's equation' paginated 1-8.

'Necessity of upstream influence ahead of cavity in swirling flow, when angular velocity is not uniform'  NCUACS 63.1.97/B.72  23 July 1973.

Contents:
Photocopied manuscript draft paginated 1-8

Incomplete manuscript draft  NCUACS 63.1.97/B.73  1984

Contents:
Beginning 'Chapter 3. Nonlinear dispersive systems with one space variable' paginated 1-31 (lacks pp7-11), latest bibliographical reference

Lecture to Faculty of Mathematics, Cambridge University, on non-linear equations.  NCUACS 63.1.97/B.74  n.d


Related information: See also NCUACS 63.1.97/C.12.

Contents:
Manuscript draft paginated 1-10.

Contents of Benjamin's folder: manuscript notes and transparencies on work with P. Olver. Possibly related to Bibliog. 56.  NCUACS 63.1.97/B.75  n.d

'New approach to 1-D nonlinear hyperbolic systems'.  NCUACS 63.1.97/B.76  n.d

Contents:
Manuscript calculation.

'Planar motions of a perfect fluid'. Contents of Benjamin's envelope so inscribed divided into two for ease of reference: manuscript drafts, latest bibliographical reference  NCUACS 63.1.97/B.77, B.78  1977

'Introduction' paginated 1-13 (lacks p3); two different drafts of '2. General Theory' paginated 1-4 and 1-5.  NCUACS 63.1.97/B.77  n.d

'3 Planar motions' paginated 1-16; '3.5 Confined flows with disconnected sets of S' paginated 1-5; photocopied manuscript calculation paginated 1-6.  NCUACS 63.1.97/B.78  n.d

'Positive-operator theory'.  NCUACS 63.1.97/B.79  n.d

Contents:
Manuscript draft paginated 1-10; manuscript ?appendix 'Existence Th[eore]m' paginated i-iii.

Manuscript 'Notes' chiefly on Ro paginated 1-8.  NCUACS 63.1.97/B.80  n.d

Contents:
Probably Benjamin's comments on draft sent to him to referee.

'Lecture on rimming flows'. Contents of Benjamin's envelope so inscribed.  NCUACS 63.1.97/B.81  1988

Transparencies.

Contents:
Typescript draft paginated 1-12, latest bibliographical reference

Manuscript drafts on rimming flows  NCUACS 63.1.97/B.82  September 1989

Contents:
'Thin rimming flows' paginated 1-9; 'Second-order approximation for rimming flows' paginated 1-7; 'Notes on stability of thin rimming flows' paginated 1-6.

Miscellaneous manuscript calculations and notes found with preceding.  NCUACS 63.1.97/B.83  n.d

'Spherical vortex'.  NCUACS 63.1.97/B.84  n.d

Contents:
Manuscript calculation.

'The solitary wave with surface tension'. Bibliog. 58.  NCUACS 63.1.97/B.85  n.d


Related information: See also NCUACS 63.1.97/C.17.

Contents:
Manuscript draft for publication paginated 1-13 + references.

Incomplete manuscript draft  NCUACS 63.1.97/B.86  1981

Contents:
Beginning '6. Conclusion. The topological method of analysis expounded in section 2 has been applied to three specific solitary wave problems' by Benjamin, J. L. Bona and D. K. Bose, paginated 1-8, latest bibliographical reference 1981. Possibly related to Bibliog. 73.

Incomplete manuscript draft on solitary waves paginated 11-77. Latest bibliographical reference 1987.  NCUACS 63.1.97/B.87-B.89  1987

'2. Properties relating to solitary-wave solutions'; '3. Stability'.  NCUACS 63.1.97/B.87  n.d

'4. Instability'.  NCUACS 63.1.97/B.88  n.d

'5. Generalized BBM solitary waves', '6. Conclusion'.  NCUACS 63.1.97/B.89  n.d

'Proper "regularization" of solitary-wave equation'.  NCUACS 63.1.97/B.90  1993-1994

Contents:
Manuscript calculation paginated 1-3, 8 September 1993.
'Integrals of generalised equations with periodic and solitary-wave solutions'.
Manuscript draft paginated 1-8, September 1994.

'Surface solitary waves: outline of theory'.  NCUACS 63.1.97/B.91  n.d

Contents:
Manuscript draft paginated 1-24.

'Notes on solitary-wave problem'.  NCUACS 63.1.97/B.92  n.d

Contents:
Manuscript draft paginated 1-14.

Contents of Benjamin's envelope.  NCUACS 63.1.97/B.93  n.d

Contents:
Manuscript notes and transparencies on solitary waves.

Contents of Benjamin's envelope.  NCUACS 63.1.97/B.94  1967

Contents:
Transparencies on stability of solitary waves, latest bibliographical reference 1987.

Solitary waves.  NCUACS 63.1.97/B.95  [n.d.]

Transparencies.

Manuscript list of 'Conférences par T.B. Benjamin' on stability and related mathematical problems; manuscript draft beginning 'Maintenant pour ma premie're conférence, je voudrais introduire plusieurs idées et deàfinitions fondamentales', paginated 1-13.  NCUACS 63.1.97/B.96  n.d

'Stability'. Contents of Benjamin's folder so inscribed divided into two for ease of reference.  NCUACS 63.1.97/B.97, B.98  n.d

Manuscript 'Proposed outline for the sequel to BBM' paginated 1-5; photocopied manuscript 'Notes on [Chapter] 5', paginated 1-10.  NCUACS 63.1.97/B.97  n.d

Contents:
In two different hands, neither Benjamin's.

Miscellaneous manuscript calculations.  NCUACS 63.1.97/B.98  n.d

'Stability of kinematic waves (general, approximate theory)'.  NCUACS 63.1.97/B.99  n.d

Contents:
Manuscript calculation paginated 1-4.

Incomplete manuscript draft beginning '3. The effect of surface tension on stability' paginated 10-16.  NCUACS 63.1.97/B.100  n.d

'Existence d'autres solutions stationnaires dans le cas ou'. [lambda]1 est négative'.  NCUACS 63.1.97/B.101  n.d

Contents:
Manuscript drafts in French.

'Stationary waves on a running stream'.  NCUACS 63.1.97/B.102  n.d

Contents:
Manuscript draft paginated 1-24.

'Steady flows drawn from a steady stratified reservoir'. Possibly related to Bibliog. 52.  NCUACS 63.1.97/B.103, B.104  n.d

Manuscript draft for publication paginated 1-46, latest bibliographical reference 1969.  NCUACS 63.1.97/B.103  1969

Notes and pages of drafts found therewith.  NCUACS 63.1.97/B.104  n.d

Manuscript notes and figures for lecture on steady flows paginated 1-16.  NCUACS 63.1.97/B.105  n.d

Contents of Benjamin's envelope: manuscript outline of two lectures on steady flow; transparencies.  NCUACS 63.1.97/B.106  n.d

Incomplete manuscript draft beginning '3.3 Existence and regularity of stable steady flow' paginated 17-24, latest bibliographical reference  NCUACS 63.1.97/B.107  1964

'Steady flows of ideal fluid in rectangular channel'.  NCUACS 63.1.97/B.108  n.d

Contents:
Manuscript draft paginated 1-7.

Manuscript draft beginning 'My object today is to show you what can be done to solve the exact equations of steady motion for stratified fluids' paginated 1-8, latest bibliographical reference 1963.  NCUACS 63.1.97/B.109  1963

'Complete theory of steady waves in a two-fluid solution'.  NCUACS 63.1.97/B.110  1994

Contents:
Manuscript draft paginated 1-28, September 1994.

'Steady wave solutions of generalized KdV and BBM equations and systems, including case of non-local operators'.  NCUACS 63.1.97/B.111  September 1994

Contents:
Manuscript draft paginated 1-13

Manuscript draft of Benjamin's contribution to Festschrift for M.J. Lighthill on his Sixtieth birthday (1984) beginning '[...] We had independently noticed several facts that classified the theory of steady long waves in a horizontal water channel', paginated 1-20.  NCUACS 63.1.97/B.112  1984

'Notes on the multiplicity of flows in the Taylor experiment'. Bibliog. 57.  NCUACS 63.1.97/B.113  n.d

Contents:
Manuscript draft for publication by Benjamin and T. Mullin paginated 1-15.

Manuscript calculation on 'events observed in the Taylor experiment' paginated 1-8.  NCUACS 63.1.97/B.114  1978

Contents:
Incomplete manuscript draft beginning 'The purpose of this paper is to review the mathematical problem posed by realistic models for Taylor's famous experiment'. Latest bibliographical reference 1978.

Manuscript draft beginning 'Outline of theoretical issues' on 'high multiplicity in the Taylor experiment' paginated 16-30, latest bibliographical reference 1981, and pages of drafts found therewith.  NCUACS 63.1.97/B.115  1981

'Thin films'.  NCUACS 63.1.97/B.116  n.d

Contents:
Manuscript draft and transparencies for lecture at unidentified 'international center of mathematical research'.

'Tensors'.  NCUACS 63.1.97/B.117  n.d

Contents:
Manuscript notes paginated [1]-18.

'Transitions in parallel flows'. Contents of Benjamin's folder so inscribed divided into three for ease of reference.  NCUACS 63.1.97/B.118-B.120  n.d

Includes letter to Benjamin from Marten Landahl  NCUACS 63.1.97/B.118  1962

Contents:
Re alterations to draft paper. 21 February 1962, manuscript draft by Landahl, 20 March 1962, manuscript draft titled 'Possible title: Progress Report on theoretical studies concerning Boundary Layers over compliant surfaces', paginated 1-3.

Manuscript notes and drafts.  NCUACS 63.1.97/B.119, B.120  n.d

2 folders.

Manuscript draft  NCUACS 63.1.97/B.121  n.d

Contents:
Beginning 'Turbulence is still a mysterious subject', paginated 1-3; transparencies found therewith.

'Two-dimensional flows'.  NCUACS 63.1.97/B.122  n.d

Contents:
Photocopied manuscript notes paginated 7-10 and figures found therewith.

Manuscript draft beginning '[...] some elementary but important considerations regarding 2-D flows' paginated 1-7.  NCUACS 63.1.97/B.123  n.d

Manuscript draft beginning 'In this comparatively simple case of two-dimensional motions' paginated 1-7, latest bibliographical reference 1984.  NCUACS 63.1.97/B.124  1984

'Unsteady wave motions of small but FINITE amplitude'.  NCUACS 63.1.97/B.125  1967

Contents:
Manuscript draft paginated 6-10, latest bibliographical reference 1967.

'Cellular flows of a viscous liquid that partly fills a horizontal rotating cylinder', by Benjamin and S.K. Pathak. Bibliog. 68.  NCUACS 63.1.97/B.126  n.d


Related information: See NCUACS 63.1.97/B.127, B.128.

Contents:
Incomplete manuscript draft for publication.

'Benjamin & Pathak "Cellular flows of a viscous liquid that partly fills a horizontal rotating cylinder" [...]'.  NCUACS 63.1.97/B.127  n.d


Related information: See NCUACS 63.1.97/B.126, B.128.

Contents:
Transparencies and figures for lecture.

'Pathak paper'. Contents of Benjamin's folder so inscribed.  NCUACS 63.1.97/B.128  [n.d.]

Transparencies.


Related information: See NCUACS 63.1.97/B.126, B.127.

Contents of Benjamin's folder divided into two for ease of reference.  NCUACS 63.1.97/B.129, B.130  1967

'Notes on the problem of buckling instability in sheets and columns of highly viscous liquid' by Benjamin, 24pp photocopied manuscript.  NCUACS 63.1.97/B.129  November 1967.

Manuscript notes and calculations on viscosity.  NCUACS 63.1.97/B.130  n.d

Manuscript draft of lecture on viscous fluid in a stationary solution, Grenoble, France (in French) paginated 1-23.  NCUACS 63.1.97/B.131  n.d

'Visc. sheet'. Contents of Benjamin's folder so inscribed divided into two for ease of reference.  NCUACS 63.1.97/B.132, B.133  n.d

Contents:
Manuscript calculations.

'Viscous flow down inclined plane'.  NCUACS 63.1.97/B.134  n.d

Contents:
Manuscript calculation paginated 1-12.

'Vortex stab.' Contents of Benjamin's envelope so inscribed divided into two for ease of reference.  NCUACS 63.1.97/B.135, B.136  n.d

Contents:
Manuscript notes and calculations.

'Notes on water-wave theory (Part II)'.  NCUACS 63.1.97/B.137  1973

Contents:
Manuscript notes for lecture in autumn course on mathematical and numerical methods in fluid dynamics, International Centre for Theoretical Physics, Trieste, 17 September - 15 December 1973. Paginated 1-22.

'Water waves'. Contents of Benjamin's envelope so inscribed.  NCUACS 63.1.97/B.138  1964

Contents:
Manuscript notes paginated 1-8, latest bibliographical reference 1984; transparencies.

Contents of Benjamin's envelope divided into two for ease of reference. Manuscript introduction and set of 19 transparencies for lecture on mathematical theory of water waves.  NCUACS 63.1.97/B.139, B.140  n.d

'Variational principle for steady water waves'.  NCUACS 63.1.97/B.141  n.d

Contents:
Manuscript draft paginated 1-8.

'Waves of finite amplitude in film'.  NCUACS 63.1.97/B.142  n.d

Contents:
Manuscript draft for lecture paginated 1-15; manuscript notes.

'Waves in strat. fluids'. Contents of Benjamin's folder so inscribed.  NCUACS 63.1.97/B.143  1973

Contents:
Manuscript calculations.

Manuscript draft for lectures, latest bibliographical reference  NCUACS 63.1.97/B.144-B.146  1984

Beginning 'Shallow-water theory' paginated 1-23.  NCUACS 63.1.97/B.144  1984

Beginning 'KdV theory' paginated 30-40.  NCUACS 63.1.97/B.145  1984

Beginning 'Planar (2-D) motions' paginated 52-86.  NCUACS 63.1.97/B.146  1984

Lectures material. Contents of Benjamin's set of envelopes.  NCUACS 63.1.97/B.147-B.151  n.d

Contents:
The inscriptions on the envelopes are reproduced in the catalogue entries.

'Lecture 1'. Manuscript draft paginated 1-8  NCUACS 63.1.97/B.147  n.d

Transparencies

'Lecture 2'.  NCUACS 63.1.97/B.148  n.d

Transparencies.

'B[enjamin]-O[no] Eqn 4'. Manuscript draft paginated 1-7  NCUACS 63.1.97/B.149  n.d

Transparencies.

'Water Waves 5'.  NCUACS 63.1.97/B.150  [n.d.]

Transparencies.

'Inviscid FM & Planetary waves 7'. Manuscript calculations  NCUACS 63.1.97/B.151  n.d

Transparencies.

Manuscript drafts ?for lecture series.  NCUACS 63.1.97/B.152-B.156  1974-1983

'1. General theory' paginated 1-26, latest bibliographical reference 1974.  NCUACS 63.1.97/B.152  1974

'2. Systems of differential equations with one space variable' paginated 1-27, latest bibliographical reference 1982.  NCUACS 63.1.97/B.153  1982

'4. Systems with several space variables' paginated 1-17, latest bibliographical reference 1976.  NCUACS 63.1.97/B.154  1976

'5. Surface solitary waves' paginated 1-26, latest bibliographical reference 1981.  NCUACS 63.1.97/B.155  1981

'6. Water waves' paginated 1-42, latest bibliographical reference 1983.  NCUACS 63.1.97/B.156  1983

Miscellaneous sets of manuscript calculations.  NCUACS 63.1.97/B.157-B.160  n.d

4 folders.

Miscellaneous manuscript sections of drafts.  NCUACS 63.1.97/B.161, B.162  n.d

2 folders.

Data and graphs, some sent to Benjamin by unidentified colleague.  NCUACS 63.1.97/B.163  n.d

Two photographs of ?flow in normal and abnormal cells.  NCUACS 63.1.97/B.164  n.d

Hardback notebook used for data and calculations 16 November 1978 - 21 January 1979, paginated 1-126.  NCUACS 63.1.97/B.165  1978-1979

SECTION C LECTURES, VISITS AND CONFERENCES  NCUACS 63.1.97/C.1-C.41  1970-1995

Contents:
Benjamin lectured and travelled widely, and was visiting professor for varying periods at many universities, particularly in America. He attended numerous conferences, several of which he helped to organise.
The documentation for these activities is unfortunately very sparse and may survive only in the form of brief correspondence, or the notification of a meeting or lecture. The material below, listed in chronological order, nevertheless gives some idea of this aspect of Benjamin's career. It covers the years 1970 - 1994.
Where applicable reference has been made to the bibliography at A. 1 in the form Bibliog. ...
A small group of notes and drafts is included at C.37 - C.41. Some of the shorter notes and drafts in Section B may refer to lecture or conference papers, and are cross-referenced when such identification may reasonably be made.

Visit to Clarkson College of Technology, Potsdam, New York, as distinguished visiting professor, spring semester 1970.  NCUACS 63.1.97/C.1  1970

Contents:
Benjamin taught on 'Special Topics in Fluid Mechanics'.
Information only.

Fluid Dynamics Symposium, McMaster University, Hamilton, Ontario, 25-27 August 1970.  NCUACS 63.1.97/C.2  1970

Contents:
Benjamin gave a Keynote Address on 'New ideas about waves in fluids'.
Programme only.

McGill University Montreal Quebec, seminars in mechanics.  NCUACS 63.1.97/C.3  1970

Contents:
Special seminar by Benjamin on 'The Stability of Solitary Waves', 18 December 1970. (Bibliog. 34).
Notice only.

Seventh Summer Seminar in applied mathematics, on 'Nonlinear wave motion', Clarkson College of Technology, Potsdam New York, 6-28 July 1972.  NCUACS 63.1.97/C.4  1972

Contents:
Benjamin was a principal lecturer (Bibliog. 38).
Announcement only.

International Symposium in honour of the 70th birthday of Sydney Goldstein, on 'Modern developments in fluid dynamics', Haifa, Israel, 16-23 December 1973.  NCUACS 63.1.97/C.5  1973

Contents:
Benjamin spoke on 'New ideas about hydrodynamic stability'.
Programme, list of participants.

Edinburgh Mathematical Society  NCUACS 63.1.97/C.6  1 June 1974

Contents:
Benjamin lectured on 'Modern mathematics and mechanics'.
Notice only.

University of Essex Association Science and Technology Section, 5 December 1975.  NCUACS 63.1.97/C.7  1975

Contents:
Benjamin spoke on 'Science and music'.
Notice only.

Autumn course on 'Applications of Analysis to Mechanics', International Centre for Theoretical Physics, Trieste, 22 September - 10 December 1976.  NCUACS 63.1.97/C.8  1976

Contents:
Benjamin was a co-Director.
Circular letters only.

Institute of Mathematics and its Applications, Debate, Winchester College, 14 March 1977.  NCUACS 63.1.97/C.9  1977

Contents:
Benjamin opposed the motion 'that academic scientists and mathematicians should be employed in more useful activity'.
Notice only.

Special seminar, Université de Paris VI, Laboratoire de Mécanique Théonque, 22 April 1977.  NCUACS 63.1.97/C.10  1977


Related information: See also NCUACS 63.1.97/B.23, B.24.

Contents:
Benjamin spoke on 'Quelques nouvelles idées concernant les phénomènes de bifurcation dans les fluides' (related to Bibliog 42, 43).
Notice only.

Meeting of Conference of Professors of Applied Mathematics, University College London  NCUACS 63.1.97/C.11  28 September 1977

Contents:
Minutes only, with contributions by Benjamin.

Rouse Ball Lecture, Faculty of Mathematics, Cambridge  NCUACS 63.1.97/C.12  4 May 1979.

Contents:
Benjamin lectured on 'New Uses for nonlinear analysis'.
Notice only.
Possibly related to NCUACS 63.1.97/B.74.

'New aspects of unsteady Couette flow', abstract for collaborative conference paper, 1981 (Bibliog. 55).  NCUACS 63.1.97/C.13  1981


Related information: See also B.35.

International Union of Theoretical and Applied Mechanics (IUTAM), Second Symposium on Stability in the Mechanics of Continua, Nümbrecht, Germany  NCUACS 63.1.97/C.14  28 August - 4 September 1981.

Contents:
Benjamin served on the Scientific Committee.
Brief correspondence, participants.

Society for Industrial and Applied Mathematics (SIAM) symposium  NCUACS 63.1.97/C.15  1982

Contents:
Benjamin spoke at the symposium on 'Methods in Non-linear Analysis' at SIAM '82.
List of speakers and symposia only.

NATO/London Mathematical Society Advanced Study Institute on 'Systems of nonlinear partial differential equations'  NCUACS 63.1.97/C.16  26 July - 7 August 1982.

Contents:
Oxford,
Benjamin was on the organising committee and gave some of the lectures.
Programme, participants, information.

'New ideas about waves in fluids'.  NCUACS 63.1.97/C.17  [n.d.]


Related information: See also NCUACS 63.1.97/B.85.

Contents:
Manuscript for short talk, nd. but kept with paper by A.E. Green 'The solitary wave with surface tension' commenting on Benjamin's paper of the same title (Bibliog. 58), 1982.

International Mathematical Union General Assembly, Warsaw, (postponed from 1982).  NCUACS 63.1.97/C.18  August 1983

Contents:
Information only.

Talk to Sussex Branch, Mathematical Association, Brighton  NCUACS 63.1.97/C.19  January 1984.

Contents:
Correspondence, Benjamin's manuscript notes.

L.S.G. Kovasznay Distinguished Lecture, Houston, Texas  NCUACS 63.1.97/C.20  April 1984.

Contents:
Benjamin lectured on 'Old questions and new answers in fluid dynamics'.
Notice of lecture only.

17th IUTAM Assembly, 16th IUTAM International Congress, Lyngby, Denmark  NCUACS 63.1.97/C.21  19-25 August 1984

Contents:
Benjamin led the Royal Society's delegation.
Information only.

Distinguished Lecture, Houston  NCUACS 63.1.97/C.22  April 1985.

Contents:
Benjamin spoke on 'A novel stability problem in hydrodynamics'.
Notice of lecture only.

'Report of the Visiting Committee to evaluate the Department of Mathematics' (Chicago), in collaboration  NCUACS 63.1.97/C.23  March 1986.

Invitation to present a main lecture at conference on 'Mathematical problems in fluid dynamics and plasma physics', Oberwolfach, Germany  NCUACS 63.1.97/C.24  July 1987.

Penn State University Applied Mathematics Seminars, Fall Semester  NCUACS 63.1.97/C.25  1988

Contents:
Benjamin headed a Departmental Colloquium on 'Hydrodynamic bifurcation phenomena', 1 September, and lectured on 'Vortex breakdown', 23 September.
Programme only.

'Nonlinear Phenomena in Fluid Mechanics', Conference in honour of Benjamin's sixtieth birthday, held at Penn State University, 13-15 April  NCUACS 63.1.97/C.26  1989

Contents:
Benjamin spoke on 'Several outstanding problems in hydrodynamics'.
Programme, lists of participants.

Alicia Golebriewska Herrmann Memorial Lecture, Stanford University, California  NCUACS 63.1.97/C.27  28 September 1989.

Contents:
Benjamin lectured on 'Vortex breakdown: a partially solved enigma'.
Notice only.

University of Cambridge, Department of Applied Mathematics and Theoretical Physics, George Batchelor Symposium  NCUACS 63.1.97/C.28  16 March 1990

Contents:
Benjamin spoke on 'Self-propulsion of asymmetrically vibrating bubbles'.
Programme only.

'Albert Ellis: an appreciation', tribute by Benjamin to be read at memorial service  NCUACS 63.1.97/C.29  22 April 1990

Contents:
Manuscript

North British Differential Equations Seminar, Sheffield University, 6  NCUACS 63.1.97/C.29A  November 1990.

Contents:
Benjamin spoke on 'Hamiltonian theory for continuous equations' and 'Stable and unstable solitary wave solutions of generalised KdV and BBM equations'.
Notice.

NSF-CBMS Regional Conference on Nonlinear Dispersive Wave Systems, University of Central Florida, Orlando  NCUACS 63.1.97/C.30  11-15 March 1991

Contents:
Benjamin was Principal Speaker and gave a course of ten lectures.
Notice, programme.

British Applied Mathematics Colloquium (incorporating 33rd British Theoretical Mechanics Colloquium)  NCUACS 63.1.97/C.31, C.32  Oxford, 9-12 April 1991.

Contents:
Benjamin was Chairman and gave the opening and closing remarks.

Conference booklet with programme, abstracts, list of participants.  NCUACS 63.1.97/C.31  1991

Miscellaneous correspondence and papers, including resolution on university teaching and research adopted at colloquium and Benjamin's account of the meeting prepared for publication.  NCUACS 63.1.97/C.32  1991

Society for Research into Higher Education (SRHE) 1991 Annual Conference on 'Research and higher education in Europe'. Leicester  NCUACS 63.1.97/C.33  17-19 December 1991

Contents:
Programme, participants, abstracts.

Canadian Applied Mathematics Society Conference on 'Wave Phenomena II: modern theory and applications', Alberta, Canada  NCUACS 63.1.97/C.34  15-18 June 1992

Contents:
Benjamin spoke on 'A new kind of solitary waves'.
Information, programme.

Royal Society Bakerian Lecture, London  NCUACS 63.1.97/C.35  12 November 1992

Contents:
Benjamin lectured on 'The mystery of vortex breakdown'.
Notice only.

Meteorological Office/Oxford University Lunch  NCUACS 63.1.97/C.36  6 December 1994

Contents:
List of guests only.

Manuscript note on the work of Benjamin's group at Oxford (in French), 1p only.  NCUACS 63.1.97/C.37  nd

Manuscript note on proposed consortium to be set up by European Science Foundation (in French), 1p only.  NCUACS 63.1.97/C.38  n.d

Manuscript lecture in French, 12pp.  NCUACS 63.1.97/C.39  n.d

'Supplement' to 'Lecture by T.B. Benjamin', 2pp typescript.  NCUACS 63.1.97/C.40  n.d

1p manuscript note (poor condition) on public perception of mathematics.  NCUACS 63.1.97/C.41  n.d

SECTION D SOCIETIES AND ORGANISATIONS  NCUACS 63.1.97/D.1 - D.5  [n.d.]


Related information: See Section NCUACS 63.1.97/E for material relating to Benjamin's involvement with the National Conference of University Professors and the organisation of higher education.

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE (CNRS)  NCUACS 63.1.97/D.1  1975-1978

Contents:
Benjamin was a member of the Comité de Direction, Laboratoire de Mécanique Théorique, Université de Paris VI, 1975-1978
Information and agenda for meetings.

INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS  NCUACS 63.1.97/D.2  1976

Contents:
Benjamin was a Vice-President 1976-1978. The President at this period was the Duke of Edinburgh.
Papers for meeting of Council at Buckingham Palace, 11 March 1976. Includes correspondence and report from Benjamin on co-operation with French mathematicians.

INTERNATIONAL SOCIETY FOR THE INTERACTION OF MECHANICS AND MATHEMATICS  NCUACS 63.1.97/D.3  1976-1982

Contents:
Benjamin was a founder member, member of the organising committee, and Vice-President of this new society founded at Lecce, Italy, in May 1975.
Correspondence and papers 1976-1977, 1982, membership lists, information on new society etc.

JOINT MATHEMATICAL COUNCIL OF THE UNITED KINGDOM  NCUACS 63.1.97/D.4  1977

Contents:
Benjamin was a member 1977-1978.
Minutes of meeting of Council 24 November 1977, the first attended by Benjamin.

ROYAL SOCIETY/INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS MATHEMATICAL EDUCATION COMMITTEE  NCUACS 63.1.97/D.5  1982

Contents:
Benjamin was Chairman 1979-1985.
Minutes of meeting, brief correspondence 1982. Includes drafts of Benjamin's 'Memorandum to Members of the Royal Society/IMA Mathematical Education Committee', and of a draft report by the Committee on 'A-level mathematics: the balance of pure and applied.'
Papers by others on the subject are also included.

SECTION E MATHEMATICS AND HIGHER EDUCATION  NCUACS 63.1.97/E.1-E.18  1989 - 1995

Contents:
Much of this section (E.1-E14) is given to the National Conference of University Professors (NCUP) of which Benjamin was a founder and first Chairman. He was active in writing for its Policy Documents, and in contributing more generally in articles and letters to the press to the discussion of current issues in educational policy such as selection, curriculum content, quality control and appraisal. Some of these appear at E.15-E.18.
E.1-E.14 NATIONAL CONFERENCE OF UNIVERSITY PROFESSORS (NCUP)
E.15-E.18 ARTICLES AND WRITINGS

NATIONAL CONFERENCE OF UNIVERSITY PROFESSORS (NCUP)  NCUACS 63.1.97/E1-E14  1989-1995

Contents:
The NCUP was founded in 1989. A preliminary meeting was held in March and at a more formal meeting at Manchester in December officers were elected and a constitution approved. Benjamin was the first Chairman, serving until 1992, and subsequently as a member of Council.
The NCUP was set up as a non-political independent organisation. Its aims, as set out in its brochures were: to support university professors in carrying out their responsibilities for the maintenance of academic standards; to provide a forum for discussion and a corporate voice on matters of concern to the nation's university system; to improve public perceptions about the work of universities; to act as a means of collecting and disseminating information relevant to universities.
The Conference held an Annual Assembly, commissioned policy documents for general publication on specific issues of concern and circulated newsletters and information to its members.
Benjamin was closely involved in all these activities; he wrote, or contributed to, the policy documents, made representations to ministers, conducted correspondence and wrote articles and letters to the press as NCUP Chairman. Some of these survive only as press-cuttings at E.6. Drafts for other publications or reports are at E.2-E.4.

General information on NCUP  NCUACS 63.1.97/E.1  1989-1995

Contents:
Includes circulars and newsletters, arrangements for first assembly at Manchester December 1989, press releases, constitution, annual assemblies London 1990, 1992 (includes Benjamin's last annual report on retirement as Chairman), 1995.

Policy Document 1: 'Quality-control of Teaching Standards' (Bibliog. 75)  NCUACS 63.1.97/E.2  nd

Contents:
Proof with corrections by Benjamin.

Policy Document 2: 'The Role of the Professoriate'. (Bibliog. 77).  NCUACS 63.1.97/E.3  n.d

Contents:
Benjamin's heavily-corrected manuscript draft; proof with corrections by Benjamin.

Policy document 4: 'Improving public opinion of universities' (Bibliog. 81).  NCUACS 63.1.97/E.4  n.d


Related information: See also NCUACS 63.1.97/E.18.

Contents:
Manuscript draft, title 'Public perceptions of higher education'.

Published versions of Policy Documents 1, 2, and 3 ('Higher education: a new framework' Bibliog. 79).  NCUACS 63.1.97/E.5  n.d

Articles and letters to the press by Benjamin  NCUACS 63.1.97/E.6  1990-1992

Contents:
These are press-cuttings only. Most are written by Benjamin as Chairman NCUP, a few are in Benjamin's own right advocating two-level university courses. They include items listed as Bibliog. 76, 78, 80.

Miscellaneous press-cuttings, news items and comments on NCUP  NCUACS 63.1.97/E.7  1989-1992

Correspondence. Includes correspondence re meetings with ministers, general exchanges with colleagues and circular letters to members informing them of current activities, correspondence arising from Benjamin's publications etc.  NCUACS 63.1.97/E.8-E.14  1989-1995

Correspondence  NCUACS 63.1.97/E.8  1989

Account of meeting with Minister for Higher Education.  NCUACS 63.1.97/E.9  1990 May-July

Correspondence  NCUACS 63.1.97/E.10  1990 August-December

Correspondence  NCUACS 63.1.97/E.11  1991

Correspondence with R. Sheppard, on the fictional presentation of universities and academics.  NCUACS 63.1.97/E.12  1992 January

Correspondence  NCUACS 63.1.97/E.13  1992 February-April

Correspondence on public image of universities.  NCUACS 63.1.97/E.14  1993

ARTICLES AND WRITINGS  NCUACS 63.1.97/E15-E18  1980-1983

'The importance of mathematics in the secondary school'  NCUACS 63.1.97/E.15  nd ca. 1980.

'The public image of mathematics'.  NCUACS 63.1.97/E.16  nd

'Advice on the composition of mathematical theses'.  NCUACS 63.1.97/E.17  June 1987

'Public perception of Higher Education', Oxford Rev. of Education, 19, (Bibliog. 84).  NCUACS 63.1.97/E.18  1993

Contents:
A fuller version of NCUP Policy Document 4. See also NCUACS 63.1.97/E.4, E.12, E.14.

SECTION F CORRESPONDENCE  NCUACS 63.1.97/F.1-F.20  1967-1995

Arnold, D. W.  NCUACS 63.1.97/F.1  1995

Bona, J. L.  NCUACS 63.1.97/F.2  1982, 1993

Bridges, T. J.  NCUACS 63.1.97/F.3  1991

Crighton, D. G.  NCUACS 63.1.97/F.4  1981

Dixon, B.  NCUACS 63.1.97/F.5  1989

Contents:
On Benjamin's 1967 paper (Bibliog. 27) as a Citation Classic.

Dixon, H. B. F.  NCUACS 63.1.97/F.5A  1986

Francis, J.  NCUACS 63.1.97/F.6  ca. 1967-1969

Contents:
Letter re paper by Benjamin on gravity flows, enclosing photograph of water wave.
(The envelope, with a note to J.F. Toland, Benjamin's Royal Society memorialist, about the letter, has been retained).

Granger, R. A.  NCUACS 63.1.97/F.6A  1985

Contents:
On Benjamin's article for festschrift edited by Granger (published 1988, Bibliog.71).

Herczynski, A.  NCUACS 63.1.97/F.7  1983

Hopf, E.  NCUACS 63.1.97/F.8  nd

Keller, J. J.  NCUACS 63.1.97/F.9  1993

Contents:
On Benjamin's work on vortex breakdown.

Lakshmikantham, V.  NCUACS 63.1.97/F.10  1976

Contents:
Journal of Nonlinear Analysis; Benjamin was on the Board of Associate Editors.

Leibovich, S.  NCUACS 63.1.97/F.11  1994

Contents:
Photocopy of Benjamin's reply only, on a paper submitted by him to J. Fluid Mechanics.

Lighthill, M. J.  NCUACS 63.1.97/F.12  1984, 1988, 1990

Mitterrand, F.  NCUACS 63.1.97/F.13  1981

Contents:
Benjamin's draft only, of his letter of congratulation on Mitterrand's election as President of France (in French).

Neale, M. C.  NCUACS 63.1.97/F.14  1994

Contents:
Benjamin's work for the Science Scholarships Committee of the Commission for the 1851 Exhibition.

Phillips, O. M.  NCUACS 63.1.97/F.15  1988

Contents:
Photocopy of Benjamin's reply only, on his paper Bibliog. 72.

Price, W.G.  NCUACS 63.1.97/F.16  1992

Contents:
On Benjamin's Bakerian Lecture.

Restrepo, J.  NCUACS 63.1.97/F.17  1995

Contents:
Photocopy of Benjamin's reply only, on a paper submitted by him to Phil. Trans.

Sneddon, I. N.  NCUACS 63.1.97/F.18  1983

Wilson, J. H.  NCUACS 63.1.97/F.19  1979

Unidentified  NCUACS 63.1.97/F.20  1988

Contents:
Letter re data on shape transitions.

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