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Sun, Shu-Ming

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Author ID: sun.shu-ming Recent zbMATH articles by "Sun, Shu-Ming"
Published as: Sun, S. M.; Sun, S.-M.; Sun, Shu Ming; Sun, Shu-Ming
Documents Indexed: 72 Publications since 1987, including 1 Book

Co-Authors

2 single-authored
3 Shen, Mei-Chang
1 Meyer, Richard Ernst

Publications by Year

Citations contained in zbMATH

53 Publications have been cited 325 times in 202 Documents Cited by Year
Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3. Zbl 0725.76028
Sun, S. M.
40
1991
Fully localised solitary-wave solutions of the three-dimensional gravity – capillary water-wave problem. Zbl 1133.76010
Groves, M. D.; Sun, S.-M.
21
2008
Existence and conditional energetic stability of three-dimensional fully localised solitary gravity-capillary water waves. Zbl 1336.76008
Buffoni, B.; Groves, M. D.; Sun, S. M.; Wahlén, E.
17
2013
A dimension-breaking phenomenon in the theory of steady gravity-capillary water waves. Recent developments in the mathematical theory of water waves (Oberwolfach, 2001). Zbl 1068.76007
Groves, M. D.; Haragus, M.; Sun, S. M.
15
2002
Exponentially small estimate for the amplitude of capillary ripples of a generalized solitary wave. Zbl 0772.76010
Sun, S. M.; Shen, M. C.
15
1993
Non-existence of truly solitary waves in water with small surface tension. Zbl 0933.76014
Sun, S. M.
13
1999
The Korteweg-de Vries equation on periodic domain with singular-point dissipation. Zbl 0937.93023
Sun, S. M.
10
1996
Existence of solitary internal waves in a two-layer fluid of infinite depth. Zbl 0912.76013
Sun, S. M.
9
1997
A model equation for steady surface waves over a bump. Zbl 0707.76016
Shen, S. P.; Shen, M. C.; Sun, S. M.
9
1989
A parametric quadratic programming approach to elastic contact problems with friction. Zbl 0705.73197
Zhong, W. X.; Sun, S. M.
9
1989
Gravity travelling waves for two superposed fluid layers, one being of infinite depth: a new type of bifurcation. Recent developments in the mathematical theory of water waves (Oberwolfach, 2001). Zbl 1152.76335
Iooss, Gérard; Lombardi, Eric; Sun, Shu Ming
8
2002
Exact theory of generalized solitary waves in a two-layer liquid in the absence of surface tension. Zbl 0796.76019
Sun, S. M.; Shen, M. C.
8
1993
A dimension-breaking phenomenon for water waves with weak surface tension. Zbl 1334.35267
Groves, M. D.; Sun, S. M.; Wahlén, E.
7
2016
Solitary-wave solutions to Boussinesq systems with large surface tension. Zbl 1198.35191
Chen, Min; Nguyen, Nghiem V.; Sun, Shu-Ming
7
2010
Transverse instability of gravity-capillary line solitary water waves. Zbl 1021.35082
Groves, Mark D.; Haragus, Mariana; Sun, Shu-Ming
7
2001
Internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction. Forced extended KdV equation. Zbl 1082.76511
Choi, J. W.; Sun, S. M.; Shen, M. C.
7
1996
Stability of a layer of viscous magnetic fluid flow down an inclined plane. Zbl 0832.76026
Renardy, Y.; Sun, S. M.
7
1994
Solitary waves in a two-layer fluid with surface tension. Zbl 0783.76019
Sun, S. M.; Shen, M. C.
7
1993
Surface waves on viscous magnetic fluid flow down an inclined plane. Zbl 0733.76089
Shen, M. C.; Sun, S. M.; Meyer, R. E.
7
1991
Existence of traveling-wave solutions to Boussinesq systems. Zbl 1249.35286
Chen, Min; Nguyen, Nghiem V.; Sun, Shu-Ming
6
2011
On the transverse linear instability of solitary water waves with large surface tension. Zbl 1056.76016
Pego, Robert L.; Sun, S. M.
6
2004
Some analytical properties of capillary-gravity waves in two-fluid flows of infinite depth. Zbl 0885.76015
Sun, S. M.
6
1997
Steady capillary-gravity waves on the interface of a two-layer fluid over an obstruction-forced modified KdV equation. Zbl 0804.76023
Choi, J. W.; Sun, S. M.; Shen, M. C.
6
1994
Forced capillary-gravity waves in a circular basin. Zbl 0804.76015
Shen, M. C.; Sun, S. M.; Hsieh, D. Y.
6
1993
Three-dimensional gravity-capillary waves on water – small surface tension case. Zbl 1181.37022
Deng, Shengfu; Sun, Shu-Ming
5
2009
Capillary-gravity wave drag. Zbl 1184.76537
Sun, Shu-Ming; Keller, Joseph B.
5
2001
Exponentially small estimate for a generalized solitary wave solution to the perturbed K-dV equation. Zbl 0811.35132
Sun, S. M.; Shen, M. C.
5
1994
Exact theory of secondary supercritical solutions for steady surface waves over a bump. Zbl 0787.76009
Sun, S. M.; Shen, M. C.
5
1993
Asymptotic linear stability of solitary water waves. Zbl 1362.35240
Pego, Robert L.; Sun, Shu-Ming
4
2016
On the oscillatory tails with arbitrary phase shift for solutions of the perturbed Korteweg-de Vries equation. Zbl 0914.35121
Sun, S. M.
4
1998
Existence theory of capillary-gravity waves on water of finite depth. Zbl 1308.76042
Sun, Shu-Ming
3
2014
Multi-hump solutions of some singularly-perturbed equations of KdV type. Zbl 1309.34111
Choi, J. W.; Lee, D. S.; Oh, S. H.; Sun, S. M.; Whang, S. I.
3
2014
Exact theory of three-dimensional water waves at the critical speed. Zbl 1219.35188
Deng, Shengfu; Sun, Shu-Ming
3
2010
On stability of liquid flow down an inclined plane. Zbl 0898.76037
Sun, S. M.
3
1997
Exact theory of solitary waves in a stratified fluid with surface tension. I: Nonoscillatory case. Zbl 0798.76008
Sun, S. M.; Shen, M. C.
3
1993
A new solitary wave solution for water waves with surface tension. Zbl 0767.76006
Sun, S. M.; Shen, M. C.
3
1992
Multi-hump solutions with small oscillations at infinity for stationary Swift-Hohenberg equation. Zbl 1368.34058
Deng, Shengfu; Sun, Shu-Ming
2
2017
A Korteweg-de Vries type of fifth-order equations on a finite domain with point dissipation. Zbl 1334.35279
Gao, Guangyue; Sun, Shu-Ming
2
2016
Supercritical surface waves generated by negative or oscillatory forcing. Zbl 1428.76028
Choi, Jeongwhan; Lin, Tao; Sun, Shu-Ming; Whang, Sungim
2
2010
Supercritical surface gravity waves generated by a positive forcing. Zbl 1151.76384
Choi, J. W.; Sun, S. M.; Whang, S. I.
2
2008
Solitary internal waves in continuously stratified fluids of great depth. Zbl 1031.76011
Sun, S. M.
2
2002
Existence of large amplitude periodic waves in two-fluid flows of infinite depth. Zbl 0980.35133
Sun, S. M.
2
2001
Asymptotic method for interfacial solitary waves in a compressible fluid. Zbl 0858.76070
Shen, M. C.; Sun, S. M.
2
1996
Nonlinear theory of forced surface waves in a circular basin. Zbl 0968.76519
Sun, S. M.; Shen, M. C.; Hsieh, D. Y.
2
1995
Parametric quadratic programming method for dynamic contact problems with friction. Zbl 0796.73075
Sun, S. M.; Tzou, H. S.; Natori, M. C.
2
1994
Stability properties of non-constant stationary solutions of the periodic Korteweg-de Vries equation. Zbl 0912.35141
Russell, D. L.; Sun, S.-M.
1
1998
Numerical solution of large deformation problems involving stability and unilateral constraints. Zbl 0929.74057
Sun, S. M.; Natori, M. C.
1
1996
Asymptotic behavior and symmetry of internal waves in two-layer fluids of great depth. Zbl 0859.76012
Sun, S. M.
1
1996
Existence of solitary pressure pulses in a cylindrical fluid-filled elastic tube. Zbl 0813.76016
Sun, S. M.; Shen, M. C.
1
1995
Exact theory of solitary waves in a stratified fluid with surface tension. II: Oscillatory case. Zbl 0799.76010
Sun, S. M.; Shen, M. C.
1
1993
Supercritical and subcritical solutions of a model equation for steady surface waves over a bump. Zbl 0706.76023
Shen, S. P.; Shen, M. C.; Sun, S. M.
1
1989
Nonlinear surface waves on a ferromagnetic fluid of variable depth. Zbl 0628.76112
Shen, M. C.; Sun, S. M.
1
1987
Ray method for surface waves on a ferromagnetic fluid. Zbl 0607.76113
Shen, M. C.; Sun, S. M.
1
1987
Multi-hump solutions with small oscillations at infinity for stationary Swift-Hohenberg equation. Zbl 1368.34058
Deng, Shengfu; Sun, Shu-Ming
2
2017
A dimension-breaking phenomenon for water waves with weak surface tension. Zbl 1334.35267
Groves, M. D.; Sun, S. M.; Wahlén, E.
7
2016
Asymptotic linear stability of solitary water waves. Zbl 1362.35240
Pego, Robert L.; Sun, Shu-Ming
4
2016
A Korteweg-de Vries type of fifth-order equations on a finite domain with point dissipation. Zbl 1334.35279
Gao, Guangyue; Sun, Shu-Ming
2
2016
Existence theory of capillary-gravity waves on water of finite depth. Zbl 1308.76042
Sun, Shu-Ming
3
2014
Multi-hump solutions of some singularly-perturbed equations of KdV type. Zbl 1309.34111
Choi, J. W.; Lee, D. S.; Oh, S. H.; Sun, S. M.; Whang, S. I.
3
2014
Existence and conditional energetic stability of three-dimensional fully localised solitary gravity-capillary water waves. Zbl 1336.76008
Buffoni, B.; Groves, M. D.; Sun, S. M.; Wahlén, E.
17
2013
Existence of traveling-wave solutions to Boussinesq systems. Zbl 1249.35286
Chen, Min; Nguyen, Nghiem V.; Sun, Shu-Ming
6
2011
Solitary-wave solutions to Boussinesq systems with large surface tension. Zbl 1198.35191
Chen, Min; Nguyen, Nghiem V.; Sun, Shu-Ming
7
2010
Exact theory of three-dimensional water waves at the critical speed. Zbl 1219.35188
Deng, Shengfu; Sun, Shu-Ming
3
2010
Supercritical surface waves generated by negative or oscillatory forcing. Zbl 1428.76028
Choi, Jeongwhan; Lin, Tao; Sun, Shu-Ming; Whang, Sungim
2
2010
Three-dimensional gravity-capillary waves on water – small surface tension case. Zbl 1181.37022
Deng, Shengfu; Sun, Shu-Ming
5
2009
Fully localised solitary-wave solutions of the three-dimensional gravity – capillary water-wave problem. Zbl 1133.76010
Groves, M. D.; Sun, S.-M.
21
2008
Supercritical surface gravity waves generated by a positive forcing. Zbl 1151.76384
Choi, J. W.; Sun, S. M.; Whang, S. I.
2
2008
On the transverse linear instability of solitary water waves with large surface tension. Zbl 1056.76016
Pego, Robert L.; Sun, S. M.
6
2004
A dimension-breaking phenomenon in the theory of steady gravity-capillary water waves. Recent developments in the mathematical theory of water waves (Oberwolfach, 2001). Zbl 1068.76007
Groves, M. D.; Haragus, M.; Sun, S. M.
15
2002
Gravity travelling waves for two superposed fluid layers, one being of infinite depth: a new type of bifurcation. Recent developments in the mathematical theory of water waves (Oberwolfach, 2001). Zbl 1152.76335
Iooss, Gérard; Lombardi, Eric; Sun, Shu Ming
8
2002
Solitary internal waves in continuously stratified fluids of great depth. Zbl 1031.76011
Sun, S. M.
2
2002
Transverse instability of gravity-capillary line solitary water waves. Zbl 1021.35082
Groves, Mark D.; Haragus, Mariana; Sun, Shu-Ming
7
2001
Capillary-gravity wave drag. Zbl 1184.76537
Sun, Shu-Ming; Keller, Joseph B.
5
2001
Existence of large amplitude periodic waves in two-fluid flows of infinite depth. Zbl 0980.35133
Sun, S. M.
2
2001
Non-existence of truly solitary waves in water with small surface tension. Zbl 0933.76014
Sun, S. M.
13
1999
On the oscillatory tails with arbitrary phase shift for solutions of the perturbed Korteweg-de Vries equation. Zbl 0914.35121
Sun, S. M.
4
1998
Stability properties of non-constant stationary solutions of the periodic Korteweg-de Vries equation. Zbl 0912.35141
Russell, D. L.; Sun, S.-M.
1
1998
Existence of solitary internal waves in a two-layer fluid of infinite depth. Zbl 0912.76013
Sun, S. M.
9
1997
Some analytical properties of capillary-gravity waves in two-fluid flows of infinite depth. Zbl 0885.76015
Sun, S. M.
6
1997
On stability of liquid flow down an inclined plane. Zbl 0898.76037
Sun, S. M.
3
1997
The Korteweg-de Vries equation on periodic domain with singular-point dissipation. Zbl 0937.93023
Sun, S. M.
10
1996
Internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction. Forced extended KdV equation. Zbl 1082.76511
Choi, J. W.; Sun, S. M.; Shen, M. C.
7
1996
Asymptotic method for interfacial solitary waves in a compressible fluid. Zbl 0858.76070
Shen, M. C.; Sun, S. M.
2
1996
Numerical solution of large deformation problems involving stability and unilateral constraints. Zbl 0929.74057
Sun, S. M.; Natori, M. C.
1
1996
Asymptotic behavior and symmetry of internal waves in two-layer fluids of great depth. Zbl 0859.76012
Sun, S. M.
1
1996
Nonlinear theory of forced surface waves in a circular basin. Zbl 0968.76519
Sun, S. M.; Shen, M. C.; Hsieh, D. Y.
2
1995
Existence of solitary pressure pulses in a cylindrical fluid-filled elastic tube. Zbl 0813.76016
Sun, S. M.; Shen, M. C.
1
1995
Stability of a layer of viscous magnetic fluid flow down an inclined plane. Zbl 0832.76026
Renardy, Y.; Sun, S. M.
7
1994
Steady capillary-gravity waves on the interface of a two-layer fluid over an obstruction-forced modified KdV equation. Zbl 0804.76023
Choi, J. W.; Sun, S. M.; Shen, M. C.
6
1994
Exponentially small estimate for a generalized solitary wave solution to the perturbed K-dV equation. Zbl 0811.35132
Sun, S. M.; Shen, M. C.
5
1994
Parametric quadratic programming method for dynamic contact problems with friction. Zbl 0796.73075
Sun, S. M.; Tzou, H. S.; Natori, M. C.
2
1994
Exponentially small estimate for the amplitude of capillary ripples of a generalized solitary wave. Zbl 0772.76010
Sun, S. M.; Shen, M. C.
15
1993
Exact theory of generalized solitary waves in a two-layer liquid in the absence of surface tension. Zbl 0796.76019
Sun, S. M.; Shen, M. C.
8
1993
Solitary waves in a two-layer fluid with surface tension. Zbl 0783.76019
Sun, S. M.; Shen, M. C.
7
1993
Forced capillary-gravity waves in a circular basin. Zbl 0804.76015
Shen, M. C.; Sun, S. M.; Hsieh, D. Y.
6
1993
Exact theory of secondary supercritical solutions for steady surface waves over a bump. Zbl 0787.76009
Sun, S. M.; Shen, M. C.
5
1993
Exact theory of solitary waves in a stratified fluid with surface tension. I: Nonoscillatory case. Zbl 0798.76008
Sun, S. M.; Shen, M. C.
3
1993
Exact theory of solitary waves in a stratified fluid with surface tension. II: Oscillatory case. Zbl 0799.76010
Sun, S. M.; Shen, M. C.
1
1993
A new solitary wave solution for water waves with surface tension. Zbl 0767.76006
Sun, S. M.; Shen, M. C.
3
1992
Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3. Zbl 0725.76028
Sun, S. M.
40
1991
Surface waves on viscous magnetic fluid flow down an inclined plane. Zbl 0733.76089
Shen, M. C.; Sun, S. M.; Meyer, R. E.
7
1991
A model equation for steady surface waves over a bump. Zbl 0707.76016
Shen, S. P.; Shen, M. C.; Sun, S. M.
9
1989
A parametric quadratic programming approach to elastic contact problems with friction. Zbl 0705.73197
Zhong, W. X.; Sun, S. M.
9
1989
Supercritical and subcritical solutions of a model equation for steady surface waves over a bump. Zbl 0706.76023
Shen, S. P.; Shen, M. C.; Sun, S. M.
1
1989
Nonlinear surface waves on a ferromagnetic fluid of variable depth. Zbl 0628.76112
Shen, M. C.; Sun, S. M.
1
1987
Ray method for surface waves on a ferromagnetic fluid. Zbl 0607.76113
Shen, M. C.; Sun, S. M.
1
1987
all top 5

Cited by 278 Authors

11 Sun, Shuming
10 Vanden-Broeck, Jean-Marc
10 Wahlén, Erik
8 Deng, Shengfu
7 Grimshaw, Roger Hamilton James
7 Groves, Mark D.
7 Shen, Ming-Chiou
6 Dias, Frédéric
6 Sun, ShiMei
5 Iooss, Gérard
5 Părău, Emilian I.
4 Bona, Jerry Lloyd
4 Tzvetkov, Nikolay
4 Wheeler, Miles H.
4 Wright, J. Douglas
4 Zhang, Bingyu
3 Akers, Benjamin F.
3 Akylas, T. R.
3 Barrandon, Matthieu
3 Chen, Robin Ming
3 Cheng, Po-Jen
3 Haragus, Mariana
3 Lee, Seong-Baek
3 Lombardi, Eric
3 Sun, Shu-Ming
3 Yeh, Nai-Sher
3 Zhang, Hongwu
2 Amick, Charles J.
2 Ashton, Anthony C. L.
2 Binder, Benjamin James
2 Blyth, Mark G.
2 Choi, Jeong Woon
2 Choi, Jungwan
2 Chow, Kwok Wing
2 Cooker, Mark J.
2 Cui, Shangbin
2 Daripa, Prabir K.
2 Dash, Ranjan K.
2 Faver, Timothy E.
2 Feng, Zhiqiang
2 Gu, Yuanxian
2 Ifrim, Mihaela
2 Il’ichev, Andreĭ Teĭmurazovich
2 Kim, Hongjoong
2 Kwak, Chulkwang
2 Lai, Hsin-Yi
2 Lokharu, Evgeniy
2 Muñoz, Claudio
2 Nilsson, Dag Viktor
2 Rousset, Frédéric
2 Shen, Mei-Chang
2 Sun, Shumei
2 Sun, Suming
2 Tao, Shuangping
2 Tataru, Daniel
2 Turner, Robert E. L.
2 Uecker, Hannes
2 Walsh, Samuel
2 Wang, Lingjun
2 Whang, S. I.
2 Whang, Sungim
2 Yuan, Juanming
2 Zhang, Linghai
2 Zhang, Zaiyun
2 Zhong, Wanxie
1 Ablowitz, Mark Jay
1 Agafontsev, D. S.
1 Alam, Mohammad-Reza
1 Alazard, Thomas
1 Ambrose, David M.
1 Angulo Pava, Jaime
1 Asavanant, Jack
1 Bae, Won-Soung
1 Balasuriya, Sanjeeva
1 Baldi, Pietro
1 Bankoff, S. George
1 Bao, Ellen Shiting
1 Benilov, Eugene S.
1 Bernard, Patrick
1 Bhattarai, Santosh
1 Boyd, John Philip
1 Breit, Dominic
1 Bridges, Thomas J.
1 Buffoni, Boris
1 Bush, John W. M.
1 Cerpa, Eduardo
1 Chakrabarti, Aloknath
1 Champneys, Alan R.
1 Chan, Ka Hou
1 Chang, Chih-Chieh
1 Chapman, Stephen Jonathan
1 Chen, Aiyong
1 Chen, Caikou
1 Chen, Cha’o-Kuang
1 Chen, Mo
1 Chen, Shyan-Shiou
1 Chen, Yi-Chiuan
1 Chepelianskii, A. D.
1 Choi, Heesun
1 Choi, Jai Won
...and 178 more Authors
all top 5

Cited in 78 Serials

17 Archive for Rational Mechanics and Analysis
15 Journal of Fluid Mechanics
15 Physics of Fluids
11 Physica D
7 Wave Motion
7 Journal of Differential Equations
5 Journal of Mathematical Analysis and Applications
5 Discrete and Continuous Dynamical Systems
4 Computer Methods in Applied Mechanics and Engineering
4 Physics of Fluids, A
4 Mathematics and Computers in Simulation
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 European Journal of Mechanics. B. Fluids
3 Applicable Analysis
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Applied Mathematics and Computation
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Journal of Dynamics and Differential Equations
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Mathematical Control and Related Fields
2 Communications in Mathematical Physics
2 International Journal of Engineering Science
2 Journal of Engineering Mathematics
2 Journal of Mathematical Physics
2 Nonlinearity
2 Inventiones Mathematicae
2 Quarterly of Applied Mathematics
2 Studies in Applied Mathematics
2 Transactions of the American Mathematical Society
2 Applied Mathematics and Mechanics. (English Edition)
2 Computational Mechanics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Journal of Nonlinear Science
2 Communications in Numerical Methods in Engineering
2 Journal of Mathematical Fluid Mechanics
2 Nonlinear Analysis. Real World Applications
1 Acta Mechanica
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Fluid Dynamics
1 Indian Journal of Pure & Applied Mathematics
1 International Journal of Solids and Structures
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematical Methods in the Applied Sciences
1 Chaos, Solitons and Fractals
1 Advances in Mathematics
1 Glasgow Mathematical Journal
1 International Journal for Numerical Methods in Engineering
1 Journal of Computational and Applied Mathematics
1 Meccanica
1 Chinese Annals of Mathematics. Series B
1 Journal of Scientific Computing
1 Applied Mathematical Modelling
1 Communications in Partial Differential Equations
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 NoDEA. Nonlinear Differential Equations and Applications
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Taiwanese Journal of Mathematics
1 Chaos
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Acta Mathematica Sinica. English Series
1 Communications in Nonlinear Science and Numerical Simulation
1 Qualitative Theory of Dynamical Systems
1 The ANZIAM Journal
1 Journal of Nonlinear Mathematical Physics
1 Journal of Systems Science and Complexity
1 Communications in Mathematical Analysis
1 Discrete and Continuous Dynamical Systems. Series S
1 Communications in Theoretical Physics
1 International Journal for Numerical Methods in Biomedical Engineering
1 Journal of Function Spaces
1 Nonlinear Analysis. Theory, Methods & Applications
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Mathematics in Engineering

Citations by Year