Edit Profile (opens in new tab) Sun, Shuming Co-Author Distance Author ID: sun.shuming Published as: Sun, Shu-Ming; Sun, Shu Ming; Sun, S. M.; Sun, Shuming; Sun, S.-M. more...less Documents Indexed: 99 Publications since 1987 1 Contribution as Editor Co-Authors: 11 Co-Authors with 24 Joint Publications 506 Co-Co-Authors all top 5 Co-Authors 15 single-authored 18 Zhang, Bingyu 11 Bona, Jerry Lloyd 7 Zhong, Ning 6 Deng, Shengfu 6 Groves, Mark D. 4 Chen, Hongqiu 3 Choi, Jeongwhan 3 Natori, M. C. 3 Wahlén, Erik 3 Whang, Sungim 2 Capistrano-Filho, Roberto A. 2 Chen, Min 2 Cui, Jing 2 Ding, Ling 2 Gao, Guangyue 2 Haragus, Mariana 2 Hsieh, Din-Yu 2 Nguyen, Nghiem V. 2 Pego, Robert L. 2 Ran, Yu 2 Renardy, Yuriko Yamamuro 2 Shen, Samuel Shan-Pu 2 Whang, S. I. 2 Yang, Xin 2 Ziegler, Martin 1 Buffoni, Boris 1 Coward, Adrian V. 1 Gubarev, Yu. G. 1 Iooss, Gérard 1 Ji, Shunying 1 Keller, Joseph Bishop 1 Lee Dal-Soo 1 Lin, Tao 1 Lombardi, Eric 1 Nilsson, Dag Viktor 1 Oh, Sangho 1 Papageorgiou, Demetrios T. 1 Sriskandasingam, Mayuran 1 Sundararaghavan, Veera 1 Tang, Bo 1 Trélat, Emmanuel 1 Tzou, Horn-Sen 1 Yuan, Juanming all top 5 Serials 8 Journal of Mathematical Analysis and Applications 7 Journal of Differential Equations 5 SIAM Journal on Mathematical Analysis 4 Archive for Rational Mechanics and Analysis 4 Wave Motion 4 Physics of Fluids 4 Discrete and Continuous Dynamical Systems 3 Physica D 3 Mathematical Control and Related Fields 2 Computers and Structures 2 Journal of Engineering Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Methods and Applications of Analysis 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Discrete and Continuous Dynamical Systems. Series B 2 Discrete and Continuous Dynamical Systems. Series S 2 Nonlinear Analysis. Theory, Methods & Applications 1 AIAA Journal 1 Applicable Analysis 1 Nonlinearity 1 Theory of Probability and its Applications 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 International Journal for Numerical Methods in Engineering 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Journal on Applied Mathematics 1 Advances in Differential Equations 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. B. Fluids 1 Journal of Mathematical Study 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Dynamics of Partial Differential Equations 1 São Paulo Journal of Mathematical Sciences 1 ACM Transactions on Computation Theory 1 Proceedings in Applied Mathematics all top 5 Fields 70 Partial differential equations (35-XX) 63 Fluid mechanics (76-XX) 7 Mechanics of deformable solids (74-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Mathematical logic and foundations (03-XX) 4 Numerical analysis (65-XX) 3 Ordinary differential equations (34-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 457 times in 235 Documents Cited by ▼ Year ▼ A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. Zbl 1057.35049Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 127 2003 A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane. Zbl 0988.35141Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 84 2002 Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3. Zbl 0725.76028Sun, S. M. 44 1991 Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations. Zbl 1379.35287Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu 39 2018 Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane. Zbl 1157.35090Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 38 2008 A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II. Zbl 1181.35228Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 35 2009 Fully localised solitary-wave solutions of the three-dimensional gravity – capillary water-wave problem. Zbl 1133.76010Groves, M. D.; Sun, S.-M. 32 2008 Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications. Zbl 1152.35099Bona, Jerry L.; Sun, S. M.; Zhang, Bingyu 31 2006 Forced oscillations of a damped Korteweg-de Vries equation in a quarter plane. Zbl 1054.35076Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 30 2003 Existence and conditional energetic stability of three-dimensional fully localised solitary gravity-capillary water waves. Zbl 1336.76008Buffoni, B.; Groves, M. D.; Sun, S. M.; Wahlén, E. 23 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 1068.76007Groves, M. D.; Haragus, M.; Sun, S. M. 20 2002 Exponentially small estimate for the amplitude of capillary ripples of a generalized solitary wave. Zbl 0772.76010Sun, S. M.; Shen, M. C. 18 1993 Non-existence of truly solitary waves in water with small surface tension. Zbl 0933.76014Sun, S. M. 16 1999 Conditional and unconditional well-posedness for nonlinear evolution equations. Zbl 1103.35092Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu 14 2004 A model equation for steady surface waves over a bump. Zbl 0707.76016Shen, S. P.; Shen, M. C.; Sun, S. M. 11 1989 Nonhomogeneous boundary value problems of nonlinear Schrödinger equations in a half plane. Zbl 1392.35292Ran, Yu; Sun, Shu-Ming; Zhang, Bing-Yu 10 2018 Existence of solitary internal waves in a two-layer fluid of infinite depth. Zbl 0912.76013Sun, S. M. 10 1997 A dimension-breaking phenomenon for water waves with weak surface tension. Zbl 1334.35267Groves, M. D.; Sun, S. M.; Wahlén, E. 10 2016 Comparison of quarter-plane and two-point boundary value problems: the BBM-equation. Zbl 1088.35057Bona, Jerry L.; Chen, Hongqiu; Sun, Shu Ming; Zhang, B.-Y. 10 2005 Existence of traveling-wave solutions to Boussinesq systems. Zbl 1249.35286Chen, Min; Nguyen, Nghiem V.; Sun, Shu-Ming 10 2011 A parametric quadratic programming approach to elastic contact problems with friction. Zbl 0705.73197Zhong, W. X.; Sun, S. M. 10 1989 Solitary-wave solutions to Boussinesq systems with large surface tension. Zbl 1198.35191Chen, Min; Nguyen, Nghiem V.; Sun, Shu-Ming 9 2010 Three-dimensional gravity-capillary waves on water – small surface tension case. Zbl 1181.37022Deng, Shengfu; Sun, Shu-Ming 9 2009 Asymptotic linear stability of solitary water waves. Zbl 1362.35240Pego, Robert L.; Sun, Shu-Ming 9 2016 Transverse instability of gravity-capillary line solitary water waves. Zbl 1021.35082Groves, Mark D.; Haragus, Mariana; Sun, Shu-Ming 8 2001 Exact theory of generalized solitary waves in a two-layer liquid in the absence of surface tension. Zbl 0796.76019Sun, S. M.; Shen, M. C. 8 1993 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 1152.76335Iooss, Gérard; Lombardi, Eric; Sun, Shu Ming 8 2002 Internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction. Forced extended KdV equation. Zbl 1082.76511Choi, J. W.; Sun, S. M.; Shen, M. C. 8 1996 Stability of a layer of viscous magnetic fluid flow down an inclined plane. Zbl 0832.76026Renardy, Y.; Sun, S. M. 7 1994 Forced capillary-gravity waves in a circular basin. Zbl 0804.76015Shen, M. C.; Sun, S. M.; Hsieh, D. Y. 7 1993 Solitary waves in a two-layer fluid with surface tension. Zbl 0783.76019Sun, S. M.; Shen, M. C. 7 1993 On the transverse linear instability of solitary water waves with large surface tension. Zbl 1056.76016Pego, Robert L.; Sun, S. M. 7 2004 Comparison of quarter-plane and two-point boundary value problems: the KdV-equation. Zbl 1123.35052Bona, Jerry L.; Chen, Hongqiu; Sun, Shu-Ming; Zhang, Bing-Yu 7 2007 General boundary value problems of the Korteweg-de Vries equation on a bounded domain. Zbl 1420.35307Capistrano-Filho, Roberto A.; Sun, Shuming; Zhang, Bing-Yu 7 2018 Exact theory of secondary supercritical solutions for steady surface waves over a bump. Zbl 0787.76009Sun, S. M.; Shen, M. C. 6 1993 Steady capillary-gravity waves on the interface of a two-layer fluid over an obstruction-forced modified KdV equation. Zbl 0804.76023Choi, 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 0811.35132Sun, S. M.; Shen, M. C. 6 1994 Some analytical properties of capillary-gravity waves in two-fluid flows of infinite depth. Zbl 0885.76015Sun, S. M. 6 1997 Exact theory of three-dimensional water waves at the critical speed. Zbl 1219.35188Deng, Shengfu; Sun, Shu-Ming 6 2010 Initial boundary value problem for Korteweg-de Vries equation: a review and open problems. Zbl 1431.35149Capistrano-Filho, Roberto A.; Sun, Shu-Ming; Zhang, Bing-Yu 5 2019 Supercritical surface gravity waves generated by a positive forcing. Zbl 1151.76384Choi, J. W.; Sun, S. M.; Whang, S. I. 5 2008 Capillary-gravity wave drag. Zbl 1184.76537Sun, Shu-Ming; Keller, Joseph B. 5 2001 Computability of the solutions to Navier-Stokes equations via effective approximation. Zbl 1496.03177Sun, Shu-Ming; Zhong, Ning; Ziegler, Martin 4 2020 Multi-hump solutions of some singularly-perturbed equations of KdV type. Zbl 1309.34111Choi, J. W.; Lee, D. S.; Oh, S. H.; Sun, S. M.; Whang, S. I. 4 2014 On the oscillatory tails with arbitrary phase shift for solutions of the perturbed Korteweg-de Vries equation. Zbl 0914.35121Sun, S. M. 4 1998 A new solitary wave solution for water waves with surface tension. Zbl 0767.76006Sun, S. M.; Shen, M. C. 4 1992 On computability of Navier-Stokes’ equation. Zbl 1461.03046Sun, Shu Ming; Zhong, Ning; Ziegler, Martin 4 2015 A Korteweg-de Vries type of fifth-order equations on a finite domain with point dissipation. Zbl 1334.35279Gao, Guangyue; Sun, Shu-Ming 4 2016 Existence of large amplitude periodic waves in two-fluid flows of infinite depth. Zbl 0980.35133Sun, S. M. 4 2001 On sharpness of the local Kato-smoothing property for dispersive wave equations. Zbl 1355.35030Sun, Shu-Ming; Trélat, Emmanuel; Zhang, Bing-Yu; Zhong, Ning 4 2017 Multi-hump solutions with small oscillations at infinity for stationary Swift-Hohenberg equation. Zbl 1368.34058Deng, Shengfu; Sun, Shu-Ming 4 2017 Existence theory of capillary-gravity waves on water of finite depth. Zbl 1308.76042Sun, Shu-Ming 3 2014 Solitary internal waves in continuously stratified fluids of great depth. Zbl 1031.76011Sun, S. M. 3 2002 Exact theory of solitary waves in a stratified fluid with surface tension. I: Nonoscillatory case. Zbl 0798.76008Sun, S. M.; Shen, M. C. 3 1993 Supercritical surface waves generated by negative or oscillatory forcing. Zbl 1428.76028Choi, Jeongwhan; Lin, Tao; Sun, Shu-Ming; Whang, Sungim 3 2010 Approximating initial-value problems with two-point boundary-value problems: BBM-equation. Zbl 1218.35203Bona, J. L.; Chen, H.; Sun, S.-M.; Zhang, B.-Y. 3 2010 Asymptotic method for interfacial solitary waves in a compressible fluid. Zbl 0858.76070Shen, M. C.; Sun, S. M. 2 1996 Parametric quadratic programming method for dynamic contact problems with friction. Zbl 0796.73075Sun, S. M.; Tzou, H. S.; Natori, M. C. 2 1994 Nonlinear theory of forced surface waves in a circular basin. Zbl 0968.76519Sun, S. M.; Shen, M. C.; Hsieh, D. Y. 2 1995 Exact two-dimensional multi-hump waves on water of finite depth with small surface tension. Zbl 1431.76035Deng, Shengfu; Sun, Shu-Ming 2 2020 Existence and orbital stability of solitary-wave solutions for higher-order BBM equations. Zbl 1374.35323Yuan, Juanming; Chen, Hongqiu; Sun, Shuming 2 2016 Asymptotic behavior and symmetry of internal waves in two-layer fluids of great depth. Zbl 0859.76012Sun, S. M. 1 1996 Existence of solitary pressure pulses in a cylindrical fluid-filled elastic tube. Zbl 0813.76016Sun, S. M.; Shen, M. C. 1 1995 Stability properties of non-constant stationary solutions of the periodic Korteweg-de Vries equation. Zbl 0912.35141Russell, D. L.; Sun, S.-M. 1 1998 Numerical solution of large deformation problems involving stability and unilateral constraints. Zbl 0929.74057Sun, S. M.; Natori, M. C. 1 1996 Modeling crack propagation in polycrystalline microstructure using variational multiscale method. Zbl 1400.74096Sun, S.; Sundararaghavan, V. 1 2016 Computability aspects for 1st-order partial differential equations via characteristics. Zbl 1310.03047Sun, Shu-Ming; Zhong, Ning 1 2015 On effective convergence of numerical solutions for differential equations. Zbl 1321.03056Sun, Shu-Ming; Zhong, Ning 1 2014 Periodic solitons for the elliptic-elliptic focussing Davey-Stewartson equations. (Solitons périodiques du système de Davey-Stewartson elliptique-elliptique focalisant.) Zbl 1387.35550Groves, Mark D.; Sun, Shu-Ming; Wahlén, Erik 1 2016 Exact theory of solitary waves in a stratified fluid with surface tension. II: Oscillatory case. Zbl 0799.76010Sun, S. M.; Shen, M. C. 1 1993 On solitary-wave solutions of fifth-order KdV type of model equations for water waves. Zbl 07697796Choi, Jeongwhan; Sun, Shu-Ming; Whang, Sungim 1 2023 One- and two-hump solutions of a singularly perturbed cubic nonlinear Schrödinger equation. Zbl 1478.35190Deng, Shengfu; Nilsson, Dag; Sun, Shu-Ming 1 2022 Supercritical and subcritical solutions of a model equation for steady surface waves over a bump. Zbl 0706.76023Shen, S. P.; Shen, M. C.; Sun, S. M. 1 1989 Kato smoothing properties of a class of nonlinear dispersive wave equations on a periodic domain. Zbl 1468.35031Sun, Shu-Ming; Yang, Xin; Zhang, Bing-Yu; Zhong, Ning 1 2021 Ray method for surface waves on a ferromagnetic fluid. Zbl 0607.76113Shen, M. C.; Sun, S. M. 1 1987 The existence of three-dimensional multi-hump gravity-capillary surface waves on water of finite depth. Zbl 1465.76015Deng, Shengfu; Sun, Shu-Ming 1 2021 On solitary-wave solutions of fifth-order KdV type of model equations for water waves. Zbl 07697796Choi, Jeongwhan; Sun, Shu-Ming; Whang, Sungim 1 2023 One- and two-hump solutions of a singularly perturbed cubic nonlinear Schrödinger equation. Zbl 1478.35190Deng, Shengfu; Nilsson, Dag; Sun, Shu-Ming 1 2022 Kato smoothing properties of a class of nonlinear dispersive wave equations on a periodic domain. Zbl 1468.35031Sun, Shu-Ming; Yang, Xin; Zhang, Bing-Yu; Zhong, Ning 1 2021 The existence of three-dimensional multi-hump gravity-capillary surface waves on water of finite depth. Zbl 1465.76015Deng, Shengfu; Sun, Shu-Ming 1 2021 Computability of the solutions to Navier-Stokes equations via effective approximation. Zbl 1496.03177Sun, Shu-Ming; Zhong, Ning; Ziegler, Martin 4 2020 Exact two-dimensional multi-hump waves on water of finite depth with small surface tension. Zbl 1431.76035Deng, Shengfu; Sun, Shu-Ming 2 2020 Initial boundary value problem for Korteweg-de Vries equation: a review and open problems. Zbl 1431.35149Capistrano-Filho, Roberto A.; Sun, Shu-Ming; Zhang, Bing-Yu 5 2019 Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations. Zbl 1379.35287Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu 39 2018 Nonhomogeneous boundary value problems of nonlinear Schrödinger equations in a half plane. Zbl 1392.35292Ran, Yu; Sun, Shu-Ming; Zhang, Bing-Yu 10 2018 General boundary value problems of the Korteweg-de Vries equation on a bounded domain. Zbl 1420.35307Capistrano-Filho, Roberto A.; Sun, Shuming; Zhang, Bing-Yu 7 2018 On sharpness of the local Kato-smoothing property for dispersive wave equations. Zbl 1355.35030Sun, Shu-Ming; Trélat, Emmanuel; Zhang, Bing-Yu; Zhong, Ning 4 2017 Multi-hump solutions with small oscillations at infinity for stationary Swift-Hohenberg equation. Zbl 1368.34058Deng, Shengfu; Sun, Shu-Ming 4 2017 A dimension-breaking phenomenon for water waves with weak surface tension. Zbl 1334.35267Groves, M. D.; Sun, S. M.; Wahlén, E. 10 2016 Asymptotic linear stability of solitary water waves. Zbl 1362.35240Pego, Robert L.; Sun, Shu-Ming 9 2016 A Korteweg-de Vries type of fifth-order equations on a finite domain with point dissipation. Zbl 1334.35279Gao, Guangyue; Sun, Shu-Ming 4 2016 Existence and orbital stability of solitary-wave solutions for higher-order BBM equations. Zbl 1374.35323Yuan, Juanming; Chen, Hongqiu; Sun, Shuming 2 2016 Modeling crack propagation in polycrystalline microstructure using variational multiscale method. Zbl 1400.74096Sun, S.; Sundararaghavan, V. 1 2016 Periodic solitons for the elliptic-elliptic focussing Davey-Stewartson equations. (Solitons périodiques du système de Davey-Stewartson elliptique-elliptique focalisant.) Zbl 1387.35550Groves, Mark D.; Sun, Shu-Ming; Wahlén, Erik 1 2016 On computability of Navier-Stokes’ equation. Zbl 1461.03046Sun, Shu Ming; Zhong, Ning; Ziegler, Martin 4 2015 Computability aspects for 1st-order partial differential equations via characteristics. Zbl 1310.03047Sun, Shu-Ming; Zhong, Ning 1 2015 Multi-hump solutions of some singularly-perturbed equations of KdV type. Zbl 1309.34111Choi, J. W.; Lee, D. S.; Oh, S. H.; Sun, S. M.; Whang, S. I. 4 2014 Existence theory of capillary-gravity waves on water of finite depth. Zbl 1308.76042Sun, Shu-Ming 3 2014 On effective convergence of numerical solutions for differential equations. Zbl 1321.03056Sun, Shu-Ming; Zhong, Ning 1 2014 Existence and conditional energetic stability of three-dimensional fully localised solitary gravity-capillary water waves. Zbl 1336.76008Buffoni, B.; Groves, M. D.; Sun, S. M.; Wahlén, E. 23 2013 Existence of traveling-wave solutions to Boussinesq systems. Zbl 1249.35286Chen, Min; Nguyen, Nghiem V.; Sun, Shu-Ming 10 2011 Solitary-wave solutions to Boussinesq systems with large surface tension. Zbl 1198.35191Chen, Min; Nguyen, Nghiem V.; Sun, Shu-Ming 9 2010 Exact theory of three-dimensional water waves at the critical speed. Zbl 1219.35188Deng, Shengfu; Sun, Shu-Ming 6 2010 Supercritical surface waves generated by negative or oscillatory forcing. Zbl 1428.76028Choi, Jeongwhan; Lin, Tao; Sun, Shu-Ming; Whang, Sungim 3 2010 Approximating initial-value problems with two-point boundary-value problems: BBM-equation. Zbl 1218.35203Bona, J. L.; Chen, H.; Sun, S.-M.; Zhang, B.-Y. 3 2010 A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II. Zbl 1181.35228Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 35 2009 Three-dimensional gravity-capillary waves on water – small surface tension case. Zbl 1181.37022Deng, Shengfu; Sun, Shu-Ming 9 2009 Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane. Zbl 1157.35090Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 38 2008 Fully localised solitary-wave solutions of the three-dimensional gravity – capillary water-wave problem. Zbl 1133.76010Groves, M. D.; Sun, S.-M. 32 2008 Supercritical surface gravity waves generated by a positive forcing. Zbl 1151.76384Choi, J. W.; Sun, S. M.; Whang, S. I. 5 2008 Comparison of quarter-plane and two-point boundary value problems: the KdV-equation. Zbl 1123.35052Bona, Jerry L.; Chen, Hongqiu; Sun, Shu-Ming; Zhang, Bing-Yu 7 2007 Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications. Zbl 1152.35099Bona, Jerry L.; Sun, S. M.; Zhang, Bingyu 31 2006 Comparison of quarter-plane and two-point boundary value problems: the BBM-equation. Zbl 1088.35057Bona, Jerry L.; Chen, Hongqiu; Sun, Shu Ming; Zhang, B.-Y. 10 2005 Conditional and unconditional well-posedness for nonlinear evolution equations. Zbl 1103.35092Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu 14 2004 On the transverse linear instability of solitary water waves with large surface tension. Zbl 1056.76016Pego, Robert L.; Sun, S. M. 7 2004 A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. Zbl 1057.35049Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 127 2003 Forced oscillations of a damped Korteweg-de Vries equation in a quarter plane. Zbl 1054.35076Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 30 2003 A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane. Zbl 0988.35141Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 84 2002 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 1068.76007Groves, M. D.; Haragus, M.; Sun, S. M. 20 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 1152.76335Iooss, Gérard; Lombardi, Eric; Sun, Shu Ming 8 2002 Solitary internal waves in continuously stratified fluids of great depth. Zbl 1031.76011Sun, S. M. 3 2002 Transverse instability of gravity-capillary line solitary water waves. Zbl 1021.35082Groves, Mark D.; Haragus, Mariana; Sun, Shu-Ming 8 2001 Capillary-gravity wave drag. Zbl 1184.76537Sun, Shu-Ming; Keller, Joseph B. 5 2001 Existence of large amplitude periodic waves in two-fluid flows of infinite depth. Zbl 0980.35133Sun, S. M. 4 2001 Non-existence of truly solitary waves in water with small surface tension. Zbl 0933.76014Sun, S. M. 16 1999 On the oscillatory tails with arbitrary phase shift for solutions of the perturbed Korteweg-de Vries equation. Zbl 0914.35121Sun, S. M. 4 1998 Stability properties of non-constant stationary solutions of the periodic Korteweg-de Vries equation. Zbl 0912.35141Russell, D. L.; Sun, S.-M. 1 1998 Existence of solitary internal waves in a two-layer fluid of infinite depth. Zbl 0912.76013Sun, S. M. 10 1997 Some analytical properties of capillary-gravity waves in two-fluid flows of infinite depth. Zbl 0885.76015Sun, S. M. 6 1997 Internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction. Forced extended KdV equation. Zbl 1082.76511Choi, J. W.; Sun, S. M.; Shen, M. C. 8 1996 Asymptotic method for interfacial solitary waves in a compressible fluid. Zbl 0858.76070Shen, M. C.; Sun, S. M. 2 1996 Asymptotic behavior and symmetry of internal waves in two-layer fluids of great depth. Zbl 0859.76012Sun, S. M. 1 1996 Numerical solution of large deformation problems involving stability and unilateral constraints. Zbl 0929.74057Sun, S. M.; Natori, M. C. 1 1996 Nonlinear theory of forced surface waves in a circular basin. Zbl 0968.76519Sun, S. M.; Shen, M. C.; Hsieh, D. Y. 2 1995 Existence of solitary pressure pulses in a cylindrical fluid-filled elastic tube. Zbl 0813.76016Sun, S. M.; Shen, M. C. 1 1995 Stability of a layer of viscous magnetic fluid flow down an inclined plane. Zbl 0832.76026Renardy, 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 0804.76023Choi, 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 0811.35132Sun, S. M.; Shen, M. C. 6 1994 Parametric quadratic programming method for dynamic contact problems with friction. Zbl 0796.73075Sun, 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 0772.76010Sun, S. M.; Shen, M. C. 18 1993 Exact theory of generalized solitary waves in a two-layer liquid in the absence of surface tension. Zbl 0796.76019Sun, S. M.; Shen, M. C. 8 1993 Forced capillary-gravity waves in a circular basin. Zbl 0804.76015Shen, M. C.; Sun, S. M.; Hsieh, D. Y. 7 1993 Solitary waves in a two-layer fluid with surface tension. Zbl 0783.76019Sun, S. M.; Shen, M. C. 7 1993 Exact theory of secondary supercritical solutions for steady surface waves over a bump. Zbl 0787.76009Sun, S. M.; Shen, M. C. 6 1993 Exact theory of solitary waves in a stratified fluid with surface tension. I: Nonoscillatory case. Zbl 0798.76008Sun, S. M.; Shen, M. C. 3 1993 Exact theory of solitary waves in a stratified fluid with surface tension. II: Oscillatory case. Zbl 0799.76010Sun, S. M.; Shen, M. C. 1 1993 A new solitary wave solution for water waves with surface tension. Zbl 0767.76006Sun, S. M.; Shen, M. C. 4 1992 Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3. Zbl 0725.76028Sun, S. M. 44 1991 A model equation for steady surface waves over a bump. Zbl 0707.76016Shen, S. P.; Shen, M. C.; Sun, S. M. 11 1989 A parametric quadratic programming approach to elastic contact problems with friction. Zbl 0705.73197Zhong, W. X.; Sun, S. M. 10 1989 Supercritical and subcritical solutions of a model equation for steady surface waves over a bump. Zbl 0706.76023Shen, S. P.; Shen, M. C.; Sun, S. M. 1 1989 Ray method for surface waves on a ferromagnetic fluid. Zbl 0607.76113Shen, M. C.; Sun, S. M. 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 239 Authors 30 Zhang, Bingyu 18 Lar’kin, Nikolaj Andreevich 14 Sun, Shuming 10 Bona, Jerry Lloyd 10 Cavalcante, Márcio André Araújo 9 Faminskii, Andrei V. 9 Himonas, A. Alexandrou 9 Kaikina, Elena Igorevna 8 Capistrano-Filho, Roberto A. 8 Yan, Fangchi 7 Hayashi, Nakao 6 Chentouf, Boumediène 6 Doronin, Gleb Germanovitch 6 Guo, Boling 6 Mantzavinos, Dionyssios 6 Özsarı, Türker 6 Pazoto, Ademir Fernando 6 Smaoui, Nejib 5 Capistrano-Filho, Roberto de A. 5 Zhao, Xiangqing 5 Zhong, Ning 5 Ziegler, Martin 4 Chen, Min 4 Gallego, Fernando Andrés 4 Lenells, Jonatan 4 Li, Shenghao 4 Pokhozhaev, Stanislav I. 4 Tzirakis, Nikolaos 4 Wu, Jun 4 Yang, Xin 3 Cavalcanti, Marcelo Moreira 3 Chen, Hongqiu 3 Compaan, Erin 3 El-Kadri, Alaa 3 Jia, Chaohua 3 Kalisch, Henrik 3 Kim, Hongjoong 3 Li, Jing 3 Ogawa, Takayoshi 3 Rosier, Lionel 3 Selivanova, Svetlana V. 3 Sotelo-Garcia, Norma 3 Wang, Chuntian 3 Wu, Jiahong 3 Xiang, Shengquan 3 Yuan, Juanming 3 Zhang, Zhixiong 3 Zribi, Mohamed 2 Aiki, Masashi 2 Audiard, Corentin 2 Batal, Ahmet 2 Bisognin, Vanilde 2 Boulanger, Anne-Céline 2 Brun, Mats Kirkesæther 2 Caicedo, Miguel Andres 2 Chen, Mo 2 Choi, Heesun 2 Corcho, Adán J. 2 Coron, Jean-Michel 2 Crépeau, Emmanuelle 2 Dai, Weizhong 2 Domingos Cavalcanti, Valéria Neves 2 Fokas, Athanassios S. 2 Glass, Olivier 2 Guerrero, Sergio 2 Hasanoǧlu, Alemdar 2 Hitzazis, Iasonas 2 Holmer, Justin 2 Hong, John Meng-Kai 2 Kawamura, Akitoshi 2 Koswara, Ivan 2 Kwak, Chulkwang 2 Li, Jie 2 Linares, Felipe 2 Liu, Kangsheng 2 Luchesi, Jackson 2 Muñoz, Claudio 2 Natali, Fábio M. Amorin 2 Pogudin, Gleb A. 2 Ran, Yu 2 Sakthivel, Kumarasamy 2 Simões, Márcio Hiran 2 Steinberg, Florian 2 Temam, Roger Meyer 2 Tsoubelis, Dimitri 2 Usman, Muhammad 2 Wang, Ying 2 Xue, Ruying 2 You, Shujun 2 Zhou, Deqin 1 Abid, Malek 1 Al-Jamal, Rasha H. 1 Al-Khaled, Kamel M. 1 Alalabi, Ala’ 1 Alkan, Kivilcim 1 Ammari, Kais 1 Angulo Pava, Jaime 1 Arabacı, Eda 1 Araruna, Fágner Dias 1 Arivazhagan, Anbu ...and 139 more Authors all top 5 Cited in 93 Serials 21 Journal of Mathematical Analysis and Applications 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Journal of Mathematical Physics 9 Journal of Differential Equations 7 SIAM Journal on Control and Optimization 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Communications in Partial Differential Equations 5 Discrete and Continuous Dynamical Systems 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Applied Mathematics and Optimization 4 SIAM Journal on Mathematical Analysis 4 Communications in Contemporary Mathematics 4 Differential Equations 4 Discrete and Continuous Dynamical Systems. Series B 3 Applicable Analysis 3 Nonlinearity 3 Physica D 3 Applied Numerical Mathematics 3 Applied Mathematics Letters 3 Journal of Inverse and Ill-Posed Problems 3 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of Systems Science and Complexity 3 Communications on Pure and Applied Analysis 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Advances in Mathematical Physics 3 Mathematical Control and Related Fields 3 Evolution Equations and Control Theory 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Methods in the Applied Sciences 2 Mathematical Notes 2 Journal of Computational and Applied Mathematics 2 Mathematics and Computers in Simulation 2 Proceedings of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 MCSS. Mathematics of Control, Signals, and Systems 2 Nonlinear Dynamics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Applied Mathematics and Computing 2 Analysis & PDE 2 São Paulo Journal of Mathematical Sciences 2 Analysis and Mathematical Physics 2 SN Partial Differential Equations and Applications 2 Water Waves 1 Communications in Mathematical Physics 1 International Journal of Control 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Automatica 1 Calcolo 1 Journal of Optimization Theory and Applications 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Quarterly of Applied Mathematics 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Journal of Complexity 1 Revista Matemática Iberoamericana 1 Journal of Scientific Computing 1 MSCS. Mathematical Structures in Computer Science 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Journal of Mathematical Sciences (New York) 1 Kyushu Journal of Mathematics 1 The Journal of Fourier Analysis and Applications 1 Mathematical Problems in Engineering 1 European Journal of Control 1 Differential Equations and Dynamical Systems 1 Mathematical Inequalities & Applications 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. B. Fluids 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Dynamical and Control Systems 1 Lobachevskii Journal of Mathematics 1 Qualitative Theory of Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Multiscale Modeling & Simulation 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Frontiers of Mathematics in China 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Applied Mathematics and Mechanics 1 Journal of Applied Analysis and Computation 1 Open Mathematics all top 5 Cited in 27 Fields 223 Partial differential equations (35-XX) 49 Systems theory; control (93-XX) 30 Fluid mechanics (76-XX) 19 Numerical analysis (65-XX) 18 Dynamical systems and ergodic theory (37-XX) 10 Ordinary differential equations (34-XX) 6 Integral transforms, operational calculus (44-XX) 6 Computer science (68-XX) 5 Mathematical logic and foundations (03-XX) 5 Operator theory (47-XX) 5 Probability theory and stochastic processes (60-XX) 4 Potential theory (31-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year