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Benjamin, Thomas Brooke

Author ID: benjamin.t-brooke Recent zbMATH articles by "Benjamin, Thomas Brooke"
Published as: Benjamin, T. Brooke; Benjamin, T. B.
External Links: MacTutor · MGP · Wikidata · GND
Documents Indexed: 53 Publications since 1954
Biographic References: 2 Publications
Co-Authors: 15 Co-Authors with 17 Joint Publications
332 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 3,598 times in 3,170 Documents Cited by Year
Model equations for long waves in nonlinear dispersive systems. Zbl 0229.35013
Benjamin, T. B.; Bona, J. L.; Mahony, J. J.
993
1972
The disintegration of wave trains on deep water. I: Theory. Zbl 0144.47101
Benjamin, T. Brooke; Feir, J. E.
532
1967
Internal waves of permanent form in fluids of great depth. Zbl 0147.46502
Benjamin, T. B.
329
1967
Wave formation in laminar flow down an inclined plane. Zbl 0078.18003
Benjamin, T. Brooke
205
1958
Gravity currents and related phenomena. Zbl 0169.28503
Benjamin, T. B.
149
1968
The stability of the plane free surface of a liquid in vertical periodic motion. Zbl 0057.18801
Benjamin, T. B.; Ursell, F.
138
1954
Internal waves of finite amplitude and permanent form. Zbl 0145.23602
Benjamin, T. B.
101
1966
Shearing flow over a wavy boundary. Zbl 0093.19106
Benjamin, T. Brooke
96
1959
Hamiltonian structure, symmetries and conservation laws for water waves. Zbl 0511.76020
Benjamin, T. Brooke; Olver, P. J.
94
1982
On \(\operatorname{cn}\)-oidal waves and bores. Zbl 0055.45605
Benjamin, T. B.; Lighthill, M. J.
71
1954
Impulse, flow force and variational principles. Zbl 0584.76001
Benjamin, T. Brooke
65
1984
Reappraisal of the Kelvin-Helmholtz problem. I: Hamiltonian structure. II: Interaction of Kelvin-Helmholtz, superharmonic and Benjamin-Feir instabilities. Zbl 0892.76027
Benjamin, T. Brooke; Bridges, Thomas J.
62
1997
Dynamics of a system of articulated pipes conveying fluid. I: Theory. II: Experiments. Zbl 0104.42002
Benjamin, T. B.
61
1961
A new kind of solitary wave. Zbl 0779.76013
Benjamin, T. Brooke
59
1992
The threefold classification of unstable disturbances in flexible surface bounding inviscid flows. Zbl 0116.19103
Benjamin, T. Brooke
56
1963
Effects of a flexible boundary on hydrodynamic stability. Zbl 0094.40304
Benjamin, T. Brooke
55
1960
Bifurcation phenomena in steady flows of a viscous fluid. I: Theory. Zbl 0366.76033
Benjamin, T. B.
52
1977
The solitary wave on a stream with an arbitrary distribution of vorticity. Zbl 0119.21503
Benjamin, T. B.
48
1962
Gravity-capillary waves with edge constraints. Zbl 0409.76020
Benjamin, T. Brooke; Scott, John C.
45
1979
Bifurcation phenomena in steady flows of a viscous fluid. II: Experiments. Zbl 0366.76034
Benjamin, T. B.
42
1977
A unified theory of conjugate flows. Zbl 0226.76037
Benjamin, T. B.
34
1971
The alliance of practical and analytical insights into the nonlinear problems of fluid mechanics. Zbl 0369.76048
Benjamin, T. Brooke
33
1976
Solitary-wave solutions of nonlinear problems. Zbl 0707.35131
Benjamin, T. B.; Bona, J. L.; Bose, D. K.
31
1990
Some developments in the theory of vortex breakdown. Zbl 0149.45102
Benjamin, T. B.
30
1967
Lecture s on nonlinear wave motion. Zbl 0303.76006
Benjamin, T. Brooke
24
1974
Verification of the Benjamin-Lighthill conjecture about steady water waves. Zbl 0852.76011
Benjamin, T. Brooke
22
1995
Hamiltonian theory for motions of bubbles in an infinite liquid. Zbl 0634.76098
Benjamin, T. Brooke
19
1987
Solitary and periodic waves of a new kind. Zbl 0862.76010
Benjamin, T. B.
19
1996
On the Boussinesq model for two-dimensional wave motions in heterogeneous fluids. Zbl 0595.76023
Benjamin, T. Brooke
17
1986
Upstream influence. Zbl 0184.53801
Benjamin, T. Brooke
14
1970
Self-propulsion of asymmetrically vibrating bubbles. Zbl 0692.76088
Benjamin, T. Brooke; Ellis, Albert T.
14
1990
The development of three-dimensional disturbances in an unstable film of liquid flowing down an inclined plane. Zbl 0107.20901
Benjamin, T. B.
13
1961
The solitary wave with surface tension. Zbl 0489.76029
Benjamin, T. Brooke
13
1982
On the flow in channels when rigid obstacles are placed in the stream. Zbl 0070.42509
Benjamin, T. Brooke
9
1956
Applications of Leray-Schauder degree theory to problems of hydrodynamic stability. Zbl 0351.76054
Benjamin, T. Brooke
8
1976
Buckling instabilities in layers of viscous liquid subjected to shearing. Zbl 0653.76072
Benjamin, T. Brooke; Mullin, T.
8
1988
On an invariant property of water waves. Zbl 0261.76006
Benjamin, T. Brooke; Mahony, J. J.
5
1971
Note on added mass and drift. Zbl 0624.76024
Benjamin, T. Brooke
5
1986
Solitary-wave solutions for some model equations for waves in nonlinear dispersive media. Zbl 0346.76012
Bona, J. L.; Bose, D. K.; Benjamin, T. B.
4
1976
Long gravity-capillary waves with edge constraints. Zbl 0584.76023
Benjamin, T. Brooke; Graham-Eagle, J.
4
1985
A study of the motion of a cavity in a rotating liquid. Zbl 0124.42004
Benjamin, T. Brooke; Barnard, B. J. S.
3
1964
Discontinuous solutions of one-dimensional Hamiltonian systems. Zbl 0662.35006
Benjamin, T. B.; Bowman, S.
3
1987
Cellular flows of a viscous liquid that partly fills a horizontal rotating cylinder. Zbl 0639.76110
Benjamin, T. Brooke; Pathak, S. K.
2
1987
Note on shape oscillations of bubbles. Zbl 0678.76108
Benjamin, T. Brooke
2
1989
Liquid drops suspended by soap films. II: Simplified model. Zbl 0573.76091
Benjamin, T. B.; Cocker, A. D.
2
1984
Steady flows drawn from a stably stratified reservoir. Zbl 0477.76014
Benjamin, T. Brooke
2
1981
Conjugate-flow theory for heterogeneous compressible fluids, with application to non-uniform suspensions of gas bubbles in liquids. Zbl 0255.76107
Benjamin, T. Brooke
1
1972
Note on the interpretation of two-dimensional theories of growing cavities. Zbl 0123.20604
Benjamin, T. Brooke
1
1964
Quelques nouveaux résultats concernant des phénomènes de bifurcation en mécanique des fluides. Zbl 0415.76025
Benjamin, T. B.
1
1979
Theoretical problems posed by gravity-capillary waves with edge constraints. Zbl 0503.76020
Benjamin, T. Brooke
1
1981
Liquid drops suspended by soap films. I. General formulation and the case of axial symmetry. Zbl 0573.76090
Benjamin, T. B.; Cocker, A. D.
1
1984
Reappraisal of the Kelvin-Helmholtz problem. I: Hamiltonian structure. II: Interaction of Kelvin-Helmholtz, superharmonic and Benjamin-Feir instabilities. Zbl 0892.76027
Benjamin, T. Brooke; Bridges, Thomas J.
62
1997
Solitary and periodic waves of a new kind. Zbl 0862.76010
Benjamin, T. B.
19
1996
Verification of the Benjamin-Lighthill conjecture about steady water waves. Zbl 0852.76011
Benjamin, T. Brooke
22
1995
A new kind of solitary wave. Zbl 0779.76013
Benjamin, T. Brooke
59
1992
Solitary-wave solutions of nonlinear problems. Zbl 0707.35131
Benjamin, T. B.; Bona, J. L.; Bose, D. K.
31
1990
Self-propulsion of asymmetrically vibrating bubbles. Zbl 0692.76088
Benjamin, T. Brooke; Ellis, Albert T.
14
1990
Note on shape oscillations of bubbles. Zbl 0678.76108
Benjamin, T. Brooke
2
1989
Buckling instabilities in layers of viscous liquid subjected to shearing. Zbl 0653.76072
Benjamin, T. Brooke; Mullin, T.
8
1988
Hamiltonian theory for motions of bubbles in an infinite liquid. Zbl 0634.76098
Benjamin, T. Brooke
19
1987
Discontinuous solutions of one-dimensional Hamiltonian systems. Zbl 0662.35006
Benjamin, T. B.; Bowman, S.
3
1987
Cellular flows of a viscous liquid that partly fills a horizontal rotating cylinder. Zbl 0639.76110
Benjamin, T. Brooke; Pathak, S. K.
2
1987
On the Boussinesq model for two-dimensional wave motions in heterogeneous fluids. Zbl 0595.76023
Benjamin, T. Brooke
17
1986
Note on added mass and drift. Zbl 0624.76024
Benjamin, T. Brooke
5
1986
Long gravity-capillary waves with edge constraints. Zbl 0584.76023
Benjamin, T. Brooke; Graham-Eagle, J.
4
1985
Impulse, flow force and variational principles. Zbl 0584.76001
Benjamin, T. Brooke
65
1984
Liquid drops suspended by soap films. II: Simplified model. Zbl 0573.76091
Benjamin, T. B.; Cocker, A. D.
2
1984
Liquid drops suspended by soap films. I. General formulation and the case of axial symmetry. Zbl 0573.76090
Benjamin, T. B.; Cocker, A. D.
1
1984
Hamiltonian structure, symmetries and conservation laws for water waves. Zbl 0511.76020
Benjamin, T. Brooke; Olver, P. J.
94
1982
The solitary wave with surface tension. Zbl 0489.76029
Benjamin, T. Brooke
13
1982
Steady flows drawn from a stably stratified reservoir. Zbl 0477.76014
Benjamin, T. Brooke
2
1981
Theoretical problems posed by gravity-capillary waves with edge constraints. Zbl 0503.76020
Benjamin, T. Brooke
1
1981
Gravity-capillary waves with edge constraints. Zbl 0409.76020
Benjamin, T. Brooke; Scott, John C.
45
1979
Quelques nouveaux résultats concernant des phénomènes de bifurcation en mécanique des fluides. Zbl 0415.76025
Benjamin, T. B.
1
1979
Bifurcation phenomena in steady flows of a viscous fluid. I: Theory. Zbl 0366.76033
Benjamin, T. B.
52
1977
Bifurcation phenomena in steady flows of a viscous fluid. II: Experiments. Zbl 0366.76034
Benjamin, T. B.
42
1977
The alliance of practical and analytical insights into the nonlinear problems of fluid mechanics. Zbl 0369.76048
Benjamin, T. Brooke
33
1976
Applications of Leray-Schauder degree theory to problems of hydrodynamic stability. Zbl 0351.76054
Benjamin, T. Brooke
8
1976
Solitary-wave solutions for some model equations for waves in nonlinear dispersive media. Zbl 0346.76012
Bona, J. L.; Bose, D. K.; Benjamin, T. B.
4
1976
Lecture s on nonlinear wave motion. Zbl 0303.76006
Benjamin, T. Brooke
24
1974
Model equations for long waves in nonlinear dispersive systems. Zbl 0229.35013
Benjamin, T. B.; Bona, J. L.; Mahony, J. J.
993
1972
Conjugate-flow theory for heterogeneous compressible fluids, with application to non-uniform suspensions of gas bubbles in liquids. Zbl 0255.76107
Benjamin, T. Brooke
1
1972
A unified theory of conjugate flows. Zbl 0226.76037
Benjamin, T. B.
34
1971
On an invariant property of water waves. Zbl 0261.76006
Benjamin, T. Brooke; Mahony, J. J.
5
1971
Upstream influence. Zbl 0184.53801
Benjamin, T. Brooke
14
1970
Gravity currents and related phenomena. Zbl 0169.28503
Benjamin, T. B.
149
1968
The disintegration of wave trains on deep water. I: Theory. Zbl 0144.47101
Benjamin, T. Brooke; Feir, J. E.
532
1967
Internal waves of permanent form in fluids of great depth. Zbl 0147.46502
Benjamin, T. B.
329
1967
Some developments in the theory of vortex breakdown. Zbl 0149.45102
Benjamin, T. B.
30
1967
Internal waves of finite amplitude and permanent form. Zbl 0145.23602
Benjamin, T. B.
101
1966
A study of the motion of a cavity in a rotating liquid. Zbl 0124.42004
Benjamin, T. Brooke; Barnard, B. J. S.
3
1964
Note on the interpretation of two-dimensional theories of growing cavities. Zbl 0123.20604
Benjamin, T. Brooke
1
1964
The threefold classification of unstable disturbances in flexible surface bounding inviscid flows. Zbl 0116.19103
Benjamin, T. Brooke
56
1963
The solitary wave on a stream with an arbitrary distribution of vorticity. Zbl 0119.21503
Benjamin, T. B.
48
1962
Dynamics of a system of articulated pipes conveying fluid. I: Theory. II: Experiments. Zbl 0104.42002
Benjamin, T. B.
61
1961
The development of three-dimensional disturbances in an unstable film of liquid flowing down an inclined plane. Zbl 0107.20901
Benjamin, T. B.
13
1961
Effects of a flexible boundary on hydrodynamic stability. Zbl 0094.40304
Benjamin, T. Brooke
55
1960
Shearing flow over a wavy boundary. Zbl 0093.19106
Benjamin, T. Brooke
96
1959
Wave formation in laminar flow down an inclined plane. Zbl 0078.18003
Benjamin, T. Brooke
205
1958
On the flow in channels when rigid obstacles are placed in the stream. Zbl 0070.42509
Benjamin, T. Brooke
9
1956
The stability of the plane free surface of a liquid in vertical periodic motion. Zbl 0057.18801
Benjamin, T. B.; Ursell, F.
138
1954
On \(\operatorname{cn}\)-oidal waves and bores. Zbl 0055.45605
Benjamin, T. B.; Lighthill, M. J.
71
1954
all top 5

Cited by 4,052 Authors

36 Bona, Jerry Lloyd
22 Kalisch, Henrik
22 Ungarish, Marius
21 Dutykh, Denys
21 Grimshaw, Roger Hamilton James
18 Ponce, Gustavo
17 Mitsotakis, Dimitrios E.
16 Duran, Angel
16 Vanden-Broeck, Jean-Marc
15 Ablowitz, Mark Jay
15 Bridges, Thomas J.
15 Camassa, Roberto
15 Kozlov, Vladimir A.
15 Linares, Felipe
15 Liu, Yue
14 Hur, Vera Mikyoung
14 Kofané, Timoléon Crépin
14 Meiburg, Eckart H.
13 Chen, Robin Ming
13 Choi, Wooyoung
13 Ivanov, Rossen I.
13 Omrani, Khaled
13 Saut, Jean-Claude
12 Erbay, Saadet
12 Erkip, Albert Kohen
12 Guo, Boling
12 Kuznetsov, Nikolai Germanovich
12 Mammeri, Youcef
12 Papageorgiou, Demetrios T.
12 Sun, Shuming
12 Wazwaz, Abdul-Majid Abdul-Rahman
11 D’Alessio, Sergio J. D.
11 Erbay, Husnuata A.
11 Kalliadasis, Serafim
11 López, Juan Manuel
11 Mohamadou, Alidou
11 Santini, Paolo Maria
11 Tabi, Conrad Bertrand
11 Yan, Zhenya
10 Benjamin, Thomas Brooke
10 Dias, Frédéric
10 Dougalis, Vassilios A.
10 El, Gennady A.
10 Miles, John Wilder
10 Milewski, Paul A.
10 Nguyen Huy Tuan
10 Olver, Peter John
10 Pascal, Jean-Paul
10 Ruyer-Quil, Christian
10 Smyth, Noel Frederick
10 Wahlén, Erik
9 Blyth, Mark G.
9 Dağ, İdris
9 Karakoç, Seydi Battal Gazi
9 Mei, Chiang C.
9 Mullin, Tom
9 Pastor, Ademir
9 Tseluiko, Dmitri
9 Umarov, Khasan Galsanovich
9 Wang, Ming
9 Wang, Zhan
8 Alazard, Thomas
8 Bush, John W. M.
8 Charru, François
8 Constantin, Adrian
8 Davis, Stephen Howard
8 Deconinck, Bernard
8 Hanazaki, Hideshi
8 Hoefer, Mark A.
8 Kaikina, Elena Igorevna
8 Kengne, Emmanuel
8 Khusnutdinova, Karima Robertovna
8 Korpusov, Maksim Olegovich
8 Lannes, David
8 Mu, Chunlai
8 Muñoz Grajales, Juan Carlos
8 Samanta, Arghya
8 Strauss, Walter Alexander
8 Walsh, Samuel
8 Wang, Lei
7 Akhmediev, Nail N.
7 Amick, Charles J.
7 Balachandar, S. Raja
7 Biondini, Gino
7 Cao, Yang
7 Carter, John D.
7 Craig, Walter
7 Falqui, Gregorio
7 Fokas, Athanassios S.
7 Hogg, Andrew J.
7 Il’ichev, Andreĭ Teĭmurazovich
7 Kenig, Carlos Eduardo
7 Martin, Calin-Iulian
7 Muñoz, Claudio
7 Ortenzi, Giovanni
7 Ramos, Juan I.
7 Segur, Harvey
7 Tian, Bo
7 Toland, John Francis
7 Usha, R.
...and 3,952 more Authors
all top 5

Cited in 357 Serials

526 Journal of Fluid Mechanics
170 Physics of Fluids
140 Physica D
87 Wave Motion
76 Studies in Applied Mathematics
71 European Journal of Mechanics. B. Fluids
70 Physics Letters. A
70 Journal of Differential Equations
55 Journal of Mathematical Physics
53 Applied Mathematics and Computation
51 Communications in Nonlinear Science and Numerical Simulation
48 Journal of Computational Physics
47 Journal of Mathematical Analysis and Applications
46 Chaos, Solitons and Fractals
41 Physics of Fluids, A
38 Archive for Rational Mechanics and Analysis
36 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
34 Mathematical Methods in the Applied Sciences
29 Applicable Analysis
27 Fluid Dynamics
26 Journal of Engineering Mathematics
26 Journal of Nonlinear Science
25 Acta Mechanica
25 Computers and Fluids
25 Nonlinearity
25 Applied Mathematical Modelling
25 Discrete and Continuous Dynamical Systems
25 Chaos
23 Mathematics and Computers in Simulation
21 Applied Numerical Mathematics
21 Applied Mathematics Letters
21 Nonlinear Dynamics
20 ZAMP. Zeitschrift für angewandte Mathematik und Physik
20 Journal of Computational and Applied Mathematics
18 Numerical Methods for Partial Differential Equations
18 SIAM Journal on Mathematical Analysis
18 Nonlinear Analysis. Theory, Methods & Applications
17 Communications in Mathematical Physics
16 Journal of Functional Analysis
16 Nonlinear Analysis. Real World Applications
15 Journal of Scientific Computing
15 International Journal of Computer Mathematics
15 Boundary Value Problems
14 International Journal of Engineering Science
14 Mathematical Problems in Engineering
13 Computers & Mathematics with Applications
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
13 Abstract and Applied Analysis
13 Water Waves
12 Mathematical Proceedings of the Cambridge Philosophical Society
12 Theoretical and Computational Fluid Dynamics
12 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
11 Computer Methods in Applied Mechanics and Engineering
11 Transactions of the American Mathematical Society
11 Journal of Mathematical Fluid Mechanics
11 Communications on Pure and Applied Analysis
10 Physica A
10 Computational Mathematics and Mathematical Physics
10 Discrete and Continuous Dynamical Systems. Series B
10 Discrete and Continuous Dynamical Systems. Series S
9 Geophysical and Astrophysical Fluid Dynamics
9 Monatshefte für Mathematik
9 Quarterly of Applied Mathematics
9 Applied Mathematics and Mechanics. (English Edition)
9 Communications in Partial Differential Equations
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Communications on Pure and Applied Mathematics
8 Mathematische Annalen
8 Meccanica
8 SIAM Journal on Applied Mathematics
8 Advances in Difference Equations
8 Journal of Physics A: Mathematical and Theoretical
7 International Journal of Modern Physics B
7 International Journal for Numerical Methods in Fluids
7 Letters in Mathematical Physics
7 Mathematics of Computation
7 Acta Mathematicae Applicatae Sinica. English Series
7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
7 SIAM Journal on Scientific Computing
7 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
7 Qualitative Theory of Dynamical Systems
7 The ANZIAM Journal
7 Journal of Nonlinear Mathematical Physics
7 International Journal of Numerical Analysis and Modeling
7 Advances in Mathematical Physics
6 Theoretical and Mathematical Physics
6 Boletim da Sociedade Brasileira de Matemática
6 Proceedings of the American Mathematical Society
6 Computational and Applied Mathematics
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Journal of Evolution Equations
6 SIAM Journal on Applied Dynamical Systems
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Communications in Computational Physics
6 Chinese Journal of Physics (Taipei)
5 Prikladnaya Matematika i Mekhanika
5 Advances in Mathematics
5 Numerische Mathematik
5 Journal of Dynamics and Differential Equations
...and 257 more Serials
all top 5

Cited in 47 Fields

1,898 Fluid mechanics (76-XX)
1,682 Partial differential equations (35-XX)
385 Numerical analysis (65-XX)
307 Dynamical systems and ergodic theory (37-XX)
186 Mechanics of deformable solids (74-XX)
158 Geophysics (86-XX)
73 Ordinary differential equations (34-XX)
63 Optics, electromagnetic theory (78-XX)
60 Mechanics of particles and systems (70-XX)
58 Statistical mechanics, structure of matter (82-XX)
57 Quantum theory (81-XX)
42 Classical thermodynamics, heat transfer (80-XX)
39 Operator theory (47-XX)
34 Systems theory; control (93-XX)
33 Calculus of variations and optimal control; optimization (49-XX)
31 Integral equations (45-XX)
23 Real functions (26-XX)
22 Global analysis, analysis on manifolds (58-XX)
22 Biology and other natural sciences (92-XX)
19 Functional analysis (46-XX)
18 Computer science (68-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
15 Integral transforms, operational calculus (44-XX)
14 Probability theory and stochastic processes (60-XX)
10 Approximations and expansions (41-XX)
9 Special functions (33-XX)
8 History and biography (01-XX)
8 Information and communication theory, circuits (94-XX)
6 Functions of a complex variable (30-XX)
5 Algebraic geometry (14-XX)
5 Differential geometry (53-XX)
4 General and overarching topics; collections (00-XX)
4 Measure and integration (28-XX)
4 Difference and functional equations (39-XX)
3 Astronomy and astrophysics (85-XX)
2 Algebraic topology (55-XX)
1 Combinatorics (05-XX)
1 Commutative algebra (13-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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