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Benjamin, Thomas Brooke

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Author ID: benjamin.t-brooke Recent zbMATH articles by "Benjamin, Thomas Brooke"
Published as: Benjamin, T. B.; Benjamin, T. Brooke
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Documents Indexed: 48 Publications since 1954
Biographic References: 2 Publications

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 2,347 times in 2,110 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.
671
1972
The disintegration of wave trains on deep water. I: Theory. Zbl 0144.47101
Benjamin, T. B.; Feir, J. E.
330
1967
Internal waves of permanent form in fluids of great depth. Zbl 0147.46502
Benjamin, T. B.
242
1967
Gravity currents and related phenomena. Zbl 0169.28503
Benjamin, T. B.
131
1968
The stability of the plane free surface of a liquid in vertical periodic motion. Zbl 0057.18801
Benjamin, T. B.; Ursell, F.
111
1954
Internal waves of finite amplitude and permanent form. Zbl 0145.23602
Benjamin, T. B.
85
1966
Hamiltonian structure, symmetries and conservation laws for water waves. Zbl 0511.76020
Benjamin, T. Brooke; Olver, P. J.
77
1982
Shearing flow over a wavy boundary. Zbl 0093.19106
Benjamin, T. Brooke
76
1959
On \(\operatorname{cn}\)-oidal waves and bores. Zbl 0055.45605
Benjamin, T. B.; Lighthill, M. J.
56
1954
Bifurcation phenomena in steady flows of a viscous fluid. I: Theory. Zbl 0366.76033
Benjamin, T. B.
51
1977
Impulse, flow force and variational principles. Zbl 0584.76001
Benjamin, T. Brooke
48
1984
A new kind of solitary wave. Zbl 0779.76013
Benjamin, T. Brooke
40
1992
Bifurcation phenomena in steady flows of a viscous fluid. II: Experiments. Zbl 0366.76034
Benjamin, T. B.
39
1977
The solitary wave on a stream with an arbitrary distribution of vorticity. Zbl 0119.21503
Benjamin, T. B.
39
1962
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.
37
1997
Gravity-capillary waves with edge constraints. Zbl 0409.76020
Benjamin, T. Brooke; Scott, John C.
36
1979
A unified theory of conjugate flows. Zbl 0226.76037
Benjamin, T. B.
30
1971
Dynamics of a system of articulated pipes conveying fluid. I: Theory. II: Experiments. Zbl 0104.42002
Benjamin, T. B.
30
1961
Some developments in the theory of vortex breakdown. Zbl 0149.45102
Benjamin, T. B.
29
1967
Solitary-wave solutions of nonlinear problems. Zbl 0707.35131
Benjamin, T. B.; Bona, J. L.; Bose, D. K.
25
1990
Verification of the Benjamin-Lighthill conjecture about steady water waves. Zbl 0852.76011
Benjamin, T. Brooke
19
1995
Hamiltonian theory for motions of bubbles in an infinite liquid. Zbl 0634.76098
Benjamin, T. Brooke
17
1987
Self-propulsion of asymmetrically vibrating bubbles. Zbl 0692.76088
Benjamin, T. Brooke; Ellis, Albert T.
13
1990
Lecture s on nonlinear wave motion. Zbl 0303.76006
Benjamin, T. Brooke
13
1974
The development of three-dimensional disturbances in an unstable film of liquid flowing down an inclined plane. Zbl 0107.20901
Benjamin, T. B.
12
1961
Solitary and periodic waves of a new kind. Zbl 0862.76010
Benjamin, T. B.
11
1996
On the Boussinesq model for two-dimensional wave motions in heterogeneous fluids. Zbl 0595.76023
Benjamin, T. Brooke
10
1986
The solitary wave with surface tension. Zbl 0489.76029
Benjamin, T. Brooke
10
1982
On the flow in channels when rigid obstacles are placed in the stream. Zbl 0070.42509
Benjamin, T. Brooke
9
1956
The alliance of practical and analytical insights into the nonlinear problems of fluid mechanics. Zbl 0369.76048
Benjamin, T. Brooke
8
1976
Buckling instabilities in layers of viscous liquid subjected to shearing. Zbl 0653.76072
Benjamin, T. Brooke; Mullin, T.
7
1988
Applications of Leray-Schauder degree theory to problems of hydrodynamic stability. Zbl 0351.76054
Benjamin, T. Brooke
5
1976
On an invariant property of water waves. Zbl 0261.76006
Benjamin, T. Brooke; Mahony, J. J.
5
1971
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
Discontinuous solutions of one-dimensional Hamiltonian systems. Zbl 0662.35006
Benjamin, T. B.; Bowman, S.
3
1987
Note on added mass and drift. Zbl 0624.76024
Benjamin, T. Brooke
3
1986
Note on shape oscillations of bubbles. Zbl 0678.76108
Benjamin, T. Brooke
2
1989
Cellular flows of a viscous liquid that partly fills a horizontal rotating cylinder. Zbl 0639.76110
Benjamin, T. Brooke; Pathak, S. K.
2
1987
Long gravity-capillary waves with edge constraints. Zbl 0584.76023
Benjamin, T. Brooke; Graham-Eagle, J.
2
1985
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
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
Theoretical problems posed by gravity-capillary waves with edge constraints. Zbl 0503.76020
Benjamin, T. Brooke
1
1981
Quelques nouveaux résultats concernant des phénomènes de bifurcation en mécanique des fluides. Zbl 0415.76025
Benjamin, T. B.
1
1979
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
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.
37
1997
Solitary and periodic waves of a new kind. Zbl 0862.76010
Benjamin, T. B.
11
1996
Verification of the Benjamin-Lighthill conjecture about steady water waves. Zbl 0852.76011
Benjamin, T. Brooke
19
1995
A new kind of solitary wave. Zbl 0779.76013
Benjamin, T. Brooke
40
1992
Solitary-wave solutions of nonlinear problems. Zbl 0707.35131
Benjamin, T. B.; Bona, J. L.; Bose, D. K.
25
1990
Self-propulsion of asymmetrically vibrating bubbles. Zbl 0692.76088
Benjamin, T. Brooke; Ellis, Albert T.
13
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.
7
1988
Hamiltonian theory for motions of bubbles in an infinite liquid. Zbl 0634.76098
Benjamin, T. Brooke
17
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
10
1986
Note on added mass and drift. Zbl 0624.76024
Benjamin, T. Brooke
3
1986
Long gravity-capillary waves with edge constraints. Zbl 0584.76023
Benjamin, T. Brooke; Graham-Eagle, J.
2
1985
Impulse, flow force and variational principles. Zbl 0584.76001
Benjamin, T. Brooke
48
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.
77
1982
The solitary wave with surface tension. Zbl 0489.76029
Benjamin, T. Brooke
10
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.
36
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.
51
1977
Bifurcation phenomena in steady flows of a viscous fluid. II: Experiments. Zbl 0366.76034
Benjamin, T. B.
39
1977
The alliance of practical and analytical insights into the nonlinear problems of fluid mechanics. Zbl 0369.76048
Benjamin, T. Brooke
8
1976
Applications of Leray-Schauder degree theory to problems of hydrodynamic stability. Zbl 0351.76054
Benjamin, T. Brooke
5
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
13
1974
Model equations for long waves in nonlinear dispersive systems. Zbl 0229.35013
Benjamin, T. B.; Bona, J. L.; Mahony, J. J.
671
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.
30
1971
On an invariant property of water waves. Zbl 0261.76006
Benjamin, T. Brooke; Mahony, J. J.
5
1971
Gravity currents and related phenomena. Zbl 0169.28503
Benjamin, T. B.
131
1968
The disintegration of wave trains on deep water. I: Theory. Zbl 0144.47101
Benjamin, T. B.; Feir, J. E.
330
1967
Internal waves of permanent form in fluids of great depth. Zbl 0147.46502
Benjamin, T. B.
242
1967
Some developments in the theory of vortex breakdown. Zbl 0149.45102
Benjamin, T. B.
29
1967
Internal waves of finite amplitude and permanent form. Zbl 0145.23602
Benjamin, T. B.
85
1966
Note on the interpretation of two-dimensional theories of growing cavities. Zbl 0123.20604
Benjamin, T. Brooke
1
1964
The solitary wave on a stream with an arbitrary distribution of vorticity. Zbl 0119.21503
Benjamin, T. B.
39
1962
Dynamics of a system of articulated pipes conveying fluid. I: Theory. II: Experiments. Zbl 0104.42002
Benjamin, T. B.
30
1961
The development of three-dimensional disturbances in an unstable film of liquid flowing down an inclined plane. Zbl 0107.20901
Benjamin, T. B.
12
1961
Shearing flow over a wavy boundary. Zbl 0093.19106
Benjamin, T. Brooke
76
1959
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.
111
1954
On \(\operatorname{cn}\)-oidal waves and bores. Zbl 0055.45605
Benjamin, T. B.; Lighthill, M. J.
56
1954
all top 5

Cited by 2,905 Authors

34 Bona, Jerry Lloyd
20 Ungarish, Marius
18 Grimshaw, Roger Hamilton James
16 Kalisch, Henrik
15 Bridges, Thomas J.
14 Ponce, Gustavo
13 Ablowitz, Mark Jay
13 Dutykh, Denys
13 Linares, Felipe
13 Liu, Yue
13 Meiburg, Eckart H.
13 Vanden-Broeck, Jean-Marc
12 Kuznetsov, Nikolai Germanovich
12 Mitsotakis, Dimitrios E.
12 Saut, Jean-Claude
11 Camassa, Roberto
11 Choi, Wooyoung
11 Duran, Angel
11 Hur, Vera Mikyoung
11 Kozlov, Vladimir A.
11 Wazwaz, Abdul-Majid Abdul-Rahman
10 Mammeri, Youcef
10 Omrani, Khaled
9 Benjamin, Thomas Brooke
9 Dias, Frédéric
9 Miles, John Wilder
9 Mullin, Tom
8 Dağ, İdris
8 Erbay, Husnuata A.
8 Erbay, Saadet
8 Erkip, Albert Kohen
8 Groves, Mark D.
8 Guo, Boling
8 López, Juan Manuel
8 Milewski, Paul A.
8 Olver, Peter John
8 Santini, Paolo Maria
7 Amick, Charles J.
7 Balachandar, S. Raja
7 Biondini, Gino
7 Bush, John W. M.
7 Cao, Yang
7 Charru, François
7 Chen, Robin Ming
7 Craig, Walter
7 El, Gennady A.
7 Ivanov, Rossen I.
7 Kaikina, Elena Igorevna
7 Kenig, Carlos Eduardo
7 Mu, Chunlai
7 Yin, Zhaoyang
6 Akers, Benjamin F.
6 Alazard, Thomas
6 Bonometti, Thomas
6 Carvajal, Xavier Paredes
6 Clamond, Didier
6 Constantin, Adrian
6 Constantinescu, George
6 Dougalis, Vassilios A.
6 Hanazaki, Hideshi
6 Hogg, Andrew J.
6 Iooss, Gérard
6 Janssen, Peter A. E. M.
6 Karakoç, Seydi Battal Gazi
6 Khusnutdinova, Karima Robertovna
6 Korpusov, Maksim Olegovich
6 Mei, Chiang C.
6 Muñoz Grajales, Juan Carlos
6 Perlin, Marc
6 Saffman, Philip Geoffrey
6 Segur, Harvey
6 Séon, Thomas
6 Smyth, Noel F.
6 Sutherland, Bruce R.
6 Wahlén, Erik
6 Wang, Ming
6 Zhao, Huijiang
5 Achouri, Talha
5 Cappiello, Marco
5 Chen, Hongqiu
5 Escher, Joachim
5 Falqui, Gregorio
5 Fokas, Athanassios S.
5 Fonseca, Germán Eduardo
5 Hayashi, Nakao
5 Hocking, Leslie M.
5 Huppert, Herbert E.
5 Il’ichev, Andreĭ Teĭmurazovich
5 Johnson, Robin Stanley
5 Jones, Mark Christopher W.
5 Karakashian, Ohannes A.
5 Khalique, Chaudry Masood
5 Kondo, Cezar I.
5 Lannes, David
5 Marques, Francisco
5 Martin, Calin-Iulian
5 Molinet, Luc
5 Nicholls, David P.
5 Norbury, John W.
5 Ortenzi, Giovanni
...and 2,805 more Authors
all top 5

Cited in 284 Serials

371 Journal of Fluid Mechanics
122 Physics of Fluids
86 Physica D
60 Wave Motion
54 Studies in Applied Mathematics
53 Journal of Differential Equations
51 Journal of Mathematical Physics
50 Applied Mathematics and Computation
46 European Journal of Mechanics. B. Fluids
38 Journal of Mathematical Analysis and Applications
30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
29 Archive for Rational Mechanics and Analysis
27 Physics of Fluids, A
25 Journal of Computational Physics
25 Chaos, Solitons and Fractals
24 Communications in Nonlinear Science and Numerical Simulation
21 Applicable Analysis
21 Computers and Fluids
21 Fluid Dynamics
21 Journal of Nonlinear Science
21 Chaos
20 Discrete and Continuous Dynamical Systems
19 Journal of Computational and Applied Mathematics
18 Acta Mechanica
17 Applied Mathematical Modelling
16 Physics Letters. A
16 Nonlinear Dynamics
16 Nonlinear Analysis. Theory, Methods & Applications
14 ZAMP. Zeitschrift für angewandte Mathematik und Physik
14 Journal of Functional Analysis
14 Applied Mathematics Letters
13 Journal of Engineering Mathematics
13 Mathematics and Computers in Simulation
13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
12 Mathematical Proceedings of the Cambridge Philosophical Society
12 Applied Numerical Mathematics
12 Journal of Scientific Computing
12 Mathematical Problems in Engineering
12 Abstract and Applied Analysis
11 Mathematical Methods in the Applied Sciences
11 Transactions of the American Mathematical Society
10 Computers & Mathematics with Applications
10 Communications in Mathematical Physics
10 SIAM Journal on Mathematical Analysis
10 Boundary Value Problems
9 Nonlinearity
9 Theoretical and Computational Fluid Dynamics
9 Applied Mathematics and Mechanics. (English Edition)
9 International Journal of Computer Mathematics
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Computer Methods in Applied Mechanics and Engineering
8 Quarterly of Applied Mathematics
8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 Numerical Methods for Partial Differential Equations
8 Communications in Partial Differential Equations
7 Geophysical and Astrophysical Fluid Dynamics
7 Mathematics of Computation
7 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
7 Nonlinear Analysis. Real World Applications
7 Discrete and Continuous Dynamical Systems. Series B
7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
6 International Journal for Numerical Methods in Fluids
6 Boletim da Sociedade Brasileira de Matemática
6 Mathematische Annalen
6 Monatshefte für Mathematik
6 Acta Mathematicae Applicatae Sinica. English Series
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Journal of Nonlinear Mathematical Physics
6 Advances in Difference Equations
5 Letters in Mathematical Physics
5 Theoretical and Mathematical Physics
5 Advances in Mathematics
5 Numerische Mathematik
5 SIAM Journal on Applied Mathematics
5 Journal of Mathematical Fluid Mechanics
5 The ANZIAM Journal
5 Journal of Applied Mathematics
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 International Journal of Modern Physics B
4 Computer Physics Communications
4 International Journal of Engineering Science
4 Journal of Applied Mathematics and Mechanics
4 Prikladnaya Matematika i Mekhanika
4 Meccanica
4 Proceedings of the American Mathematical Society
4 Acta Applicandae Mathematicae
4 Mathematical and Computer Modelling
4 Dynamics and Stability of Systems
4 Journal of Dynamics and Differential Equations
4 SIAM Journal on Scientific Computing
4 Engineering Analysis with Boundary Elements
4 International Journal of Modern Physics C
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Communications on Pure and Applied Analysis
4 Discrete and Continuous Dynamical Systems. Series S
4 Advances in Mathematical Physics
4 Science China. Mathematics
4 Journal of Applied Analysis and Computation
4 Water Waves
3 Communications on Pure and Applied Mathematics
...and 184 more Serials
all top 5

Cited in 46 Fields

1,311 Fluid mechanics (76-XX)
1,106 Partial differential equations (35-XX)
242 Numerical analysis (65-XX)
202 Dynamical systems and ergodic theory (37-XX)
117 Geophysics (86-XX)
109 Mechanics of deformable solids (74-XX)
47 Ordinary differential equations (34-XX)
38 Mechanics of particles and systems (70-XX)
32 Optics, electromagnetic theory (78-XX)
30 Operator theory (47-XX)
30 Quantum theory (81-XX)
27 Statistical mechanics, structure of matter (82-XX)
22 Integral equations (45-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
19 Classical thermodynamics, heat transfer (80-XX)
19 Systems theory; control (93-XX)
17 Global analysis, analysis on manifolds (58-XX)
15 Functional analysis (46-XX)
11 Integral transforms, operational calculus (44-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
7 Probability theory and stochastic processes (60-XX)
7 Biology and other natural sciences (92-XX)
5 History and biography (01-XX)
5 Functions of a complex variable (30-XX)
5 Differential geometry (53-XX)
5 Computer science (68-XX)
4 General and overarching topics; collections (00-XX)
4 Special functions (33-XX)
4 Approximations and expansions (41-XX)
4 Information and communication theory, circuits (94-XX)
3 Real functions (26-XX)
2 Difference and functional equations (39-XX)
2 Algebraic topology (55-XX)
2 Astronomy and astrophysics (85-XX)
2 Operations research, mathematical programming (90-XX)
1 Combinatorics (05-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-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)

Citations by Year

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