Thomas Brooke Benjamin
Bibliography
Brooke Benjamin 1
Thomas Brooke Benjamin—Bibliography
(1)
(2)
1954
1954
(3)
(4)
(5)
(6)
1955
1956
1957
1958
(7)
(8)
(9)
1959
1960
1961
(10)
1961
(11)
1961
(12)
(13)
(14)
(15)
1962
1962
1962
1962
(16)
1963
(17)
1964
(18)
1964
(19)
1964
(20)
1964
(21)
(22)
(23)
1965
1966
1966
(24)
1966
(25)
1966
(26)
1967
(27)
(28)
(29)
(30)
(31)
(32)
(33)
(34)
(35)
1967
1967
1967
1968
1970
1971
1971
1972
1972
(36)
1972
(37)
1973
(38)
1974
(39)
1975
(With M.J. Lighthill) On cnoidal waves and bores. Proc. R. Soc. Lond. A 224, 448–460.
(With F. Ursell) The stability of the plane free surface of a liquid in vertical periodic motion. Proc. R.
Soc. Lond. A 225, 505–515.
Cavitation in liquids. PhD thesis, University of Cambridge.
On the flow in channels when rigid obstacles are placed in the stream. J. Fluid Mech. 1, 227–248.
Wave formation in laminar flow down an inclined plane. J. Fluid Mech. 2, 554–574.
Pressure waves from collapsing cavities. In Proc. 2nd Symp. on Naval Hydrodynamics, volume 515,
pp. 207–229. Washington, DC: National Academy of Sciences Publications.
Shearing flow over a wavy boundary. J. Fluid Mech. 6, 161–205.
Effects of a flexible boundary on hydrodynamic stability. J. Fluid Mech. 9, 513–532.
Dynamics of a system of articulated pipes conveying fluid. I. Theory. Proc. R. Soc. Lond. A 261,
457–486.
Dynamics of a system of articulated pipes conveying fluid. II. Experiments. Proc. R. Soc. Lond. A
261, 487–499.
The development of three-dimensional disturbances in an unstable film of liquid flowing down an
inclined plane. J. Fluid Mech. 10, 401–419.
The solitary wave on a stream with an arbitrary distribution of vorticity. J. Fluid Mech. 12, 97–116.
Standing waves in a stream of water. In Encyclopaedic Dictionary of Physics. Pergamon: London.
Theory of vortex breakdown phenomenon. J. Fluid Mech. 14, 593–629.
Surface effects in non-spherical motions of small cavities. In Proc. Symp. on Cavitation in Real
Liquids, pp. 164–180. Amsterdam: G.M. Res. Labs., Elsevier.
The threefold classification of unstable disturbances in flexible surfaces bounding inviscid flows. J.
Fluid Mech. 16, 436–450.
Note on the interpretation of two-dimensional theories of growing cavities. J. Fluid Mech. 19, 137–
144.
(With B.J.S. Barnard) A study of the motion of a cavity in a rotating liquid. J. Fluid Mech. 19, 139–
209.
Effects of surface contamination on wave formation in falling liquid films. Archiwum Mechaniki
Stosowanej (Proc. Polish Acad. Sci. 3) 16, 615–626.
Fluid flow with flexible boundaries. In General lecture, Proc. 11th International Cong. Appl. Mech.,
pp. 109–128. Berlin: Springer.
Significance of the vortex breakdown phenomenon. Trans. A.S.M.E., J. Basic. Eng. 87, 518–522.
Internal waves of finite amplitude and permanent form. J. Fluid Mech. 25, 241–270.
(With A.T. Ellis) The collapse of cavitation bubbles and the pressures thereby produced against solid
boundaries. Phil. Trans. R. Soc. Lond. A 260, 221–240.
Pressure pulses in liquid-bubble mixtures (discussion of paper by L. van Wijngaarden). In Proc. 6th
Symp. on Naval Hydrodynamics, pp. 129–134. U.S. Govt. Printing Office.
Internal wave interactions (discussion of paper by O.M. Phillips). In Proc. 6th Symp. on Naval
Hydrodynamics, pp. 544–548. U.S. Govt. Printing Office.
(With J.E. Feir) The disintegration of wave trains on deep water. Part I. Theory. J. Fluid Mech. 27,
417–430.
Some developments in the theory of vortex breakdown. J. Fluid Mech. 28, 65–84.
Instability of periodic wave trains in nonlinear dispersive systems. Proc. R. Soc. Lond. A 299, 59–75.
Internal waves of permanent form in fluids of great depth. J. Fluid Mech. 29, 559–592.
Gravity currents and related phenomena. J. Fluid Mech. 31, 209–248.
Upstream influence. J. Fluid Mech. 40, 49–79.
A unified theory of conjugate flows. Phil. Trans. R. Soc. Lond. A 269, 587–643.
(With J. J. Mahony) On an invariant property of water waves. J. Fluid Mech. 49, 385–389.
The stability of solitary waves. Proc. R. Soc. Lond. A 328, 153–183.
(With J.L. Bona & J.J. Mahony) Model equation for long waves in nonlinear dispersive systems. Phil.
Trans. Roy. Soc. A, 272, 47–78.
Conjugate-flow theory for heterogeneous compressible fluids with applications to non-uniform
suspensions of gas bubbles in liquids. J. Fluid Mech. 54, 545–563.
An exact theory of finite steady waves in continuously stratified fluids. Technical Report no. 48, Fluid
Mechanics Research Inst. Univ. of Essex.
Lectures on nonlinear wave motion. In Lectures in Applied Mathematics, vol. 15, pp. 3–47. American
Mathematical Society.
The alliance of practical and analytical insights into the nonlinear problems of fluid mechanics. In
Proc. Symp. on Applications of Methods of Functional Analysis to problems in Mechanics (Lecture
notes in mathematics, vol. 503), pp. 8–29. Marseille: Springer.
Brooke Benjamin 2
(40)
1975
(41)
1976
(42)
1978
(43)
1978
(44)
1977
(45)
1978
(46)
(47)
(48)
1978
1979
1979
(49)
1979
(50)
(51)
1980
1981
(52)
(53)
1981
1981
(54)
(55)
1981
1981
(56)
1981
(57)
1982
(58)
(59)
1982
1983
(60)
1984
(61)
1984
(62)
(63)
1984
1985
(64)
1986
(65)
(66)
(67)
1986
1987
1987
(68)
1987
(69)
1987
(70)
1988
(71)
(72)
(73)
1988
1989
1990
(74)
1997
(75)
1997
(With J.L. Bona & D.K. Bose) Solitary-wave solutions of some model equations for waves in
nonlinear dispersive media. In Proc. Symp. on Applications of Methods of Functional Analysis to
problems in Mechanics (Lecture notes in mathematics, vol. 503), pp. 207–218. Marseille: Springer.
Applications of Leray–Schauder degree theory to problems of hydrodynamic stability. Math. Proc.
Camb. Phil. Soc. 79, 373–392.
Bifurcation phenomena in steady flows of a viscous fluid. Part I. Theory. Proc. R. Soc. Lond. A 359,
1–26.
Bifurcation phenomena in steady flows of a viscous fluid. Part II. Experiments. Proc. R. Soc. Lond.
A, 359, 27–43.
On a class of nonlinear pseudo-differential equations with multiple solutions. Technical Report no.
86, Fluid mechanics Research Institute, University of Essex.
Applications of generic bifurcation theory in fluid mechanics. In Contemporary developments in
continuum mechanics and partial differential equations (Mathematical Studies, vol. 30) (ed. G.M. de
la Penha and L.A. Medeiros), pp. 45–73. North Holland: Amsterdam.
(With J.C. Scott) Waves in narrow channels: faster capillary waves. Nature 276, 803–805.
(With J.C. Scott) Gravity-capillary waves with edge constraints. J. Fluid Mech. 92, 241–267.
Quelques nouveaux résultats concernant des phénomènes de bifurcation en mecanique des fluides. In
Computing methods in applied sciences and engineering (Lecture notes in Physics, vol. 91), pp. 62–
71. Springer.
Memorandum by the Royal Society Education Committee to the Committee of Inquiry into the
teaching of mathematics in schools. London: The Royal Society.
(With T. Mullin) Transition to oscillatory motion in the Taylor experiment. Nature 280, 567–569.
Theoretical problems posed by gravity capillary waves with edge constraints. In Trends in
applications of pure mathematics to mechanics (ed. H. Zorski), vol. 3, pp. 40–58. Pitman.
Steady flows drawn from a stably stratified reservoir. J. Fluid Mech. 106, 245–260.
New observations in the Taylor experiment. In Transition and Turbulence (MRC, University of
Wisconsin, Symposium Series) (ed. R.E. Meyer), pp. 25–41. Academic Press.
(With T. Mullin) Anomalous modes in the Taylor experiment. Proc. R. Soc. Lond. A 377, 221–249.
(With T. Mullin, K. Schätzel & E.R. Pike) New aspects of unsteady Couette flow. Phys. Lett. 83,
333–336.
(With P.J. Olver) Hamiltonian structure, symmetries and conservation laws for water waves. J. Fluid
Mech. 125, 137–185, 1982. (MRC, University of Wisconsin Report no. 2266.)
(With T. Mullin) Notes on the multiplicity of steady flows in the Taylor experiment. J. Fluid Mech.
121, 219–230.
The solitary wave with surface tension. Q. Appl. Math. 40, 231–234.
A-level mathematics. Memorandum on the reasons in favour of a balanced and coherent structure for
A-level courses and examinations in mathematics.
(With A.D. Cocker) Liquid drops suspended by soap films. I. General formulation and the case of
axial symmetry. Proc. R. Soc. Lond. A 394, 19–32.
(With A.D. Cocker) Liquid drops suspended by soap films. II. Simplified model. Proc. R. Soc. Lond.
A 394, 33–45.
Impulse, flow force and variational principles. IMA J. Appl. Math. 32, 3–68.
(With J. Graham-Eagle) Long gravity-capillary waves with edge constraints. IMA J. Appl. Math. 35,
91–114.
On the Boussinesq model for two-dimensional wave motions in heterogeneous fluids. J. Fluid Mech.
165, 445–474.
Note on added mass and drift. J. Fluid Mech. 169, 251–256.
Hamiltonian theory for motions of bubbles in an infinite liquid. J. Fluid Mech. 181, 349–379.
(With S. Bowman) Discontinuous solutions of one-dimensional Hamiltonian systems. Proc. R. Soc.
Lond. A 413, 263–295.
(With S.K. Pathak) Cellular flows of a viscous liquid that partly fills a horizontal rotating cylinder. J.
Fluid Mech. 183, 399–420.
(With B. Boczar-Karakiewicz & W.G. Pritchard) Reflection of water waves in a channel with a
corrugated bed. J. Fluid Mech. 185, 249–274.
(With T. Mullin) Buckling instabilities in layers of viscous liquid subjected to shearing. J. Fluid
Mech. 195, 523–540.
The violent collapse of vapour cavities. Experiments in fluid mechanics, 440–446.
Note on shape oscillations of bubbles. J. Fluid Mech. 203, 419–424.
(With J.L. Bona & D.K. Bose) Solitary-wave solutions of nonlinear problems. Phil. Trans. R. Soc.
Lond. A 331, 195–244.
(With T.J. Bridges) Reappraisal of the Kelvin–Helmholtz problem. Part 1. Hamiltonian structure. J.
Fluid Mech. 333, 301–325.
(With T.J. Bridges) Reappraisal of the Kelvin–Helmholtz problem. Part 2. Interaction of the Kelvin–
Helmholtz, superharmonic and Benjamin–Feir instabilities. J. Fluid Mech. 333, 327–373.
Brooke Benjamin 3
(76)
(77)
1990
1990
(78)
(79)
1991
1991
(80)
(81)
1991
1991
(82)
(83)
1992
1992
(84)
(85)
(86)
(87)
1992
1993
1993
1993
(88)
1995
(With A.J. Ellis) Self-propulsion of asymmetrically vibrating bubbles. J. Fluid Mech. 212, 65–80.
Quality-control of teaching standards. National Conference of University Professors, October. Policy
Document No. 1.
High profile solution to boffins mystery. The Times Higher Education Supplement, 18 January, p. 17.
The role of the professoriate. National Conference of University Professors, May. Policy Document
No. 2.
The right sums. The Times Higher Education Supplement, 19 July, p. 17.
Higher education: A new framework, commentary on the government’s white paper. National
Conference of University Professors, November. Policy Document No. 3.
Overladen with honours. The Times Higher Education Supplement, 17 January.
Improving public opinion of universities. National Conference of University Professors, July. Policy
Document No. 4.
A new kind of solitary wave. J. Fluid Mech. 245, 401–411.
Note on formulas for a drag of a sphere. J. Fluid Mech. 246, 335–342.
Public perceptions of higher education. Oxford Rev. Educ. 19, 47–63.
Commitment to scholarship and research in universities. National Conference of University
Professors, June. Policy Document No. 5.
Verification of the Benjamin–Lighthill conjecture about steady water waves. J. Fluid Mech. 295,
337–356.
Brooke Benjamin 4