Edit Profile (opens in new tab) Sun, Shuming Co-Author Distance Author ID: sun.shuming Published as: Sun, S. M.; Sun, Shu-Ming; Sun, Shu Ming; Sun, S.-M.; Sun, Shuming; Sun, Shu-ming more...less Homepage: https://math.vt.edu/people/faculty/sun-shu-ming.html External Links: MGP · dblp Documents Indexed: 95 Publications since 1987, including 2 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 40 Co-Authors with 61 Joint Publications 1,291 Co-Co-Authors all top 5 Co-Authors 15 single-authored 16 Zhang, Bingyu 11 Bona, Jerry Lloyd 7 Deng, Shengfu 7 Zhong, Ning 6 Groves, Mark D. 4 Chen, Hongqiu 3 Choi, Jeongwhan 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 Lee, Dal-Soo 2 Nguyen, Nghiem V. 2 Pego, Robert Leo 2 Ran, Yu 2 Renardy, Yuriko Yamamuro 2 Shen, Samuel Shan-Pu 2 Sriskandasingam, Mayuran 2 Whang, S. I. 2 Yang, Xin 2 Ziegler, Martin 1 Buffoni, Boris 1 Capistrano-Filho, Roberto de A. 1 Coward, Adrian V. 1 Iooss, Gérard 1 Keller, Joseph Bishop 1 Lin, Tao 1 Lombardi, Eric 1 Natori, M. C. 1 Nilsson, Dag Viktor 1 Oh, Sangho 1 Papageorgiou, Demetrios T. 1 Quintero, José Raúl 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 Journal of Engineering Mathematics 2 Differential and Integral Equations 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 Annali di Matematica Pura ed Applicata. Serie Quarta 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 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 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 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 71 Partial differential equations (35-XX) 63 Fluid mechanics (76-XX) 7 Dynamical systems and ergodic theory (37-XX) 4 Mathematical logic and foundations (03-XX) 4 Ordinary differential equations (34-XX) 3 Numerical analysis (65-XX) 3 Mechanics of deformable solids (74-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 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 935 times in 509 Documents Cited by ▼ Year ▼ A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. Zbl 1057.35049 Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 139 2003 A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane. Zbl 0988.35141 Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 97 2002 Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations. Zbl 1379.35287 Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu 57 2018 Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3. Zbl 0725.76028 Sun, S. M. 49 1991 Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane. Zbl 1157.35090 Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 40 2008 A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II. Zbl 1181.35228 Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 40 2009 Fully localised solitary-wave solutions of the three-dimensional gravity – capillary water-wave problem. Zbl 1133.76010 Groves, M. D.; Sun, S.-M. 36 2008 Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications. Zbl 1152.35099 Bona, Jerry L.; Sun, S. M.; Zhang, Bingyu 33 2006 Forced oscillations of a damped Korteweg-de Vries equation in a quarter plane. Zbl 1054.35076 Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 32 2003 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. 25 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. 23 2002 Exponentially small estimate for the amplitude of capillary ripples of a generalized solitary wave. Zbl 0772.76010 Sun, S. M.; Shen, M. C. 20 1993 Non-existence of truly solitary waves in water with small surface tension. Zbl 0933.76014 Sun, S. M. 17 1999 Conditional and unconditional well-posedness for nonlinear evolution equations. Zbl 1103.35092 Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu 14 2004 Nonhomogeneous boundary value problems of nonlinear Schrödinger equations in a half plane. Zbl 1392.35292 Ran, Yu; Sun, Shu-Ming; Zhang, Bing-Yu 13 2018 Comparison of quarter-plane and two-point boundary value problems: the BBM-equation. Zbl 1088.35057 Bona, Jerry L.; Chen, Hongqiu; Sun, Shu Ming; Zhang, B.-Y. 12 2005 Existence of traveling-wave solutions to Boussinesq systems. Zbl 1249.35286 Chen, Min; Nguyen, Nghiem V.; Sun, Shu-Ming 12 2011 A dimension-breaking phenomenon for water waves with weak surface tension. Zbl 1334.35267 Groves, M. D.; Sun, S. M.; Wahlén, E. 12 2016 A model equation for steady surface waves over a bump. Zbl 0707.76016 Shen, S. P.; Shen, M. C.; Sun, S. M. 11 1989 Existence of solitary internal waves in a two-layer fluid of infinite depth. Zbl 0912.76013 Sun, S. M. 10 1997 Transverse instability of gravity-capillary line solitary water waves. Zbl 1021.35082 Groves, Mark D.; Haragus, Mariana; Sun, Shu-Ming 10 2001 Solitary-wave solutions to Boussinesq systems with large surface tension. Zbl 1198.35191 Chen, Min; Nguyen, Nghiem V.; Sun, Shu-Ming 10 2010 On the transverse linear instability of solitary water waves with large surface tension. Zbl 1056.76016 Pego, Robert L.; Sun, S. M. 9 2004 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. 9 1993 Three-dimensional gravity-capillary waves on water – small surface tension case. Zbl 1181.37022 Deng, Shengfu; Sun, Shu-Ming 9 2009 Asymptotic linear stability of solitary water waves. Zbl 1362.35240 Pego, Robert L.; Sun, Shu-Ming 9 2016 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 Exponentially small estimate for a generalized solitary wave solution to the perturbed K-dV equation. Zbl 0811.35132 Sun, S. M.; Shen, M. C. 8 1994 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. 8 1996 General boundary value problems of the Korteweg-de Vries equation on a bounded domain. Zbl 1420.35307 Capistrano-Filho, Roberto A.; Sun, Shuming; Zhang, Bing-Yu 8 2018 Comparison of quarter-plane and two-point boundary value problems: the KdV-equation. Zbl 1123.35052 Bona, Jerry L.; Chen, Hongqiu; Sun, Shu-Ming; Zhang, Bing-Yu 8 2007 Some analytical properties of capillary-gravity waves in two-fluid flows of infinite depth. Zbl 0885.76015 Sun, S. M. 7 1997 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. 7 1993 Stability of a layer of viscous magnetic fluid flow down an inclined plane. Zbl 0832.76026 Renardy, Y.; Sun, S. M. 7 1994 Initial boundary value problem for Korteweg-de Vries equation: a review and open problems. Zbl 1431.35149 Capistrano-Filho, Roberto A.; Sun, Shu-Ming; Zhang, Bing-Yu 7 2019 On the oscillatory tails with arbitrary phase shift for solutions of the perturbed Korteweg-de Vries equation. Zbl 0914.35121 Sun, S. M. 6 1998 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 Exact theory of secondary supercritical solutions for steady surface waves over a bump. Zbl 0787.76009 Sun, S. M.; Shen, M. C. 6 1993 Supercritical surface gravity waves generated by a positive forcing. Zbl 1151.76384 Choi, J. W.; Sun, S. M.; Whang, S. I. 6 2008 Exact theory of three-dimensional water waves at the critical speed. Zbl 1219.35188 Deng, Shengfu; Sun, Shu-Ming 6 2010 A new solitary wave solution for water waves with surface tension. Zbl 0767.76006 Sun, S. M.; Shen, M. C. 5 1992 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. 5 2001 Approximating initial-value problems with two-point boundary-value problems: BBM-equation. Zbl 1218.35203 Bona, J. L.; Chen, H.; Sun, S.-M.; Zhang, B.-Y. 4 2010 Computability of the solutions to Navier-Stokes equations via effective approximation. Zbl 1496.03177 Sun, Shu-Ming; Zhong, Ning; Ziegler, Martin 4 2020 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. 4 2014 A Korteweg-de Vries type of fifth-order equations on a finite domain with point dissipation. Zbl 1334.35279 Gao, Guangyue; Sun, Shu-Ming 4 2016 On sharpness of the local Kato-smoothing property for dispersive wave equations. Zbl 1355.35030 Sun, 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 1368.34058 Deng, Shengfu; Sun, Shu-Ming 4 2017 On computability of Navier-Stokes’ equation. Zbl 1461.03046 Sun, Shu Ming; Zhong, Ning; Ziegler, Martin 4 2015 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 Solitary internal waves in continuously stratified fluids of great depth. Zbl 1031.76011 Sun, S. M. 3 2002 Periodic solitons for the elliptic-elliptic focussing Davey-Stewartson equations. (Solitons périodiques du système de Davey-Stewartson elliptique-elliptique focalisant.) Zbl 1387.35550 Groves, Mark D.; Sun, Shu-Ming; Wahlén, Erik 3 2016 Supercritical surface waves generated by negative or oscillatory forcing. Zbl 1428.76028 Choi, Jeongwhan; Lin, Tao; Sun, Shu-Ming; Whang, Sungim 3 2010 Existence theory of capillary-gravity waves on water of finite depth. Zbl 1308.76042 Sun, Shu-Ming 3 2014 Existence and orbital stability of solitary-wave solutions for higher-order BBM equations. Zbl 1374.35323 Yuan, Juanming; Chen, Hongqiu; Sun, Shuming 3 2016 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 Exact two-dimensional multi-hump waves on water of finite depth with small surface tension. Zbl 1431.76035 Deng, Shengfu; Sun, Shu-Ming 2 2020 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 Asymptotic behavior and symmetry of internal waves in two-layer fluids of great depth. Zbl 0859.76012 Sun, S. M. 1 1996 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 Existence of solitary pressure pulses in a cylindrical fluid-filled elastic tube. Zbl 0813.76016 Sun, S. M.; Shen, M. C. 1 1995 Critical viscous surface waves over an incline. Zbl 0612.76044 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 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 One- and two-hump solutions of a singularly perturbed cubic nonlinear Schrödinger equation. Zbl 1478.35190 Deng, Shengfu; Nilsson, Dag; Sun, Shu-Ming 1 2022 On effective convergence of numerical solutions for differential equations. Zbl 1321.03056 Sun, Shu-Ming; Zhong, Ning 1 2014 Kato smoothing properties of a class of nonlinear dispersive wave equations on a periodic domain. Zbl 1468.35031 Sun, Shu-Ming; Yang, Xin; Zhang, Bing-Yu; Zhong, Ning 1 2021 On solitary-wave solutions of fifth-order KdV type of model equations for water waves. Zbl 1524.76066 Choi, Jeongwhan; Sun, Shu-Ming; Whang, Sungim 1 2023 Controllability and stabilization of gravity-capillary surface water waves in a basin. Zbl 1487.76025 Cui, Jing; Gao, Guangyue; Sun, Shu-Ming 1 2022 The existence of three-dimensional multi-hump gravity-capillary surface waves on water of finite depth. Zbl 1465.76015 Deng, Shengfu; Sun, Shu-Ming 1 2021 Computability aspects for 1st-order partial differential equations via characteristics. Zbl 1310.03047 Sun, Shu-Ming; Zhong, Ning 1 2015 Non-homogeneous boundary value problems of the Kawahara equation posed on a finite interval. Zbl 1504.35455 Sriskandasingam, Mayuran; Sun, Shu-Ming; Zhang, Bing-Yu 1 2023 On solitary-wave solutions of fifth-order KdV type of model equations for water waves. Zbl 1524.76066 Choi, Jeongwhan; Sun, Shu-Ming; Whang, Sungim 1 2023 Non-homogeneous boundary value problems of the Kawahara equation posed on a finite interval. Zbl 1504.35455 Sriskandasingam, Mayuran; Sun, Shu-Ming; Zhang, Bing-Yu 1 2023 One- and two-hump solutions of a singularly perturbed cubic nonlinear Schrödinger equation. Zbl 1478.35190 Deng, Shengfu; Nilsson, Dag; Sun, Shu-Ming 1 2022 Controllability and stabilization of gravity-capillary surface water waves in a basin. Zbl 1487.76025 Cui, Jing; Gao, Guangyue; Sun, Shu-Ming 1 2022 Kato smoothing properties of a class of nonlinear dispersive wave equations on a periodic domain. Zbl 1468.35031 Sun, 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 1465.76015 Deng, Shengfu; Sun, Shu-Ming 1 2021 Computability of the solutions to Navier-Stokes equations via effective approximation. Zbl 1496.03177 Sun, Shu-Ming; Zhong, Ning; Ziegler, Martin 4 2020 Exact two-dimensional multi-hump waves on water of finite depth with small surface tension. Zbl 1431.76035 Deng, Shengfu; Sun, Shu-Ming 2 2020 Initial boundary value problem for Korteweg-de Vries equation: a review and open problems. Zbl 1431.35149 Capistrano-Filho, Roberto A.; Sun, Shu-Ming; Zhang, Bing-Yu 7 2019 Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations. Zbl 1379.35287 Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu 57 2018 Nonhomogeneous boundary value problems of nonlinear Schrödinger equations in a half plane. Zbl 1392.35292 Ran, Yu; Sun, Shu-Ming; Zhang, Bing-Yu 13 2018 General boundary value problems of the Korteweg-de Vries equation on a bounded domain. Zbl 1420.35307 Capistrano-Filho, Roberto A.; Sun, Shuming; Zhang, Bing-Yu 8 2018 On sharpness of the local Kato-smoothing property for dispersive wave equations. Zbl 1355.35030 Sun, 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 1368.34058 Deng, Shengfu; Sun, Shu-Ming 4 2017 A dimension-breaking phenomenon for water waves with weak surface tension. Zbl 1334.35267 Groves, M. D.; Sun, S. M.; Wahlén, E. 12 2016 Asymptotic linear stability of solitary water waves. Zbl 1362.35240 Pego, Robert L.; Sun, Shu-Ming 9 2016 A Korteweg-de Vries type of fifth-order equations on a finite domain with point dissipation. Zbl 1334.35279 Gao, Guangyue; Sun, Shu-Ming 4 2016 Periodic solitons for the elliptic-elliptic focussing Davey-Stewartson equations. (Solitons périodiques du système de Davey-Stewartson elliptique-elliptique focalisant.) Zbl 1387.35550 Groves, Mark D.; Sun, Shu-Ming; Wahlén, Erik 3 2016 Existence and orbital stability of solitary-wave solutions for higher-order BBM equations. Zbl 1374.35323 Yuan, Juanming; Chen, Hongqiu; Sun, Shuming 3 2016 On computability of Navier-Stokes’ equation. Zbl 1461.03046 Sun, Shu Ming; Zhong, Ning; Ziegler, Martin 4 2015 Computability aspects for 1st-order partial differential equations via characteristics. Zbl 1310.03047 Sun, Shu-Ming; Zhong, Ning 1 2015 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. 4 2014 Existence theory of capillary-gravity waves on water of finite depth. Zbl 1308.76042 Sun, Shu-Ming 3 2014 On effective convergence of numerical solutions for differential equations. Zbl 1321.03056 Sun, Shu-Ming; Zhong, Ning 1 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. 25 2013 Existence of traveling-wave solutions to Boussinesq systems. Zbl 1249.35286 Chen, Min; Nguyen, Nghiem V.; Sun, Shu-Ming 12 2011 Solitary-wave solutions to Boussinesq systems with large surface tension. Zbl 1198.35191 Chen, Min; Nguyen, Nghiem V.; Sun, Shu-Ming 10 2010 Exact theory of three-dimensional water waves at the critical speed. Zbl 1219.35188 Deng, Shengfu; Sun, Shu-Ming 6 2010 Approximating initial-value problems with two-point boundary-value problems: BBM-equation. Zbl 1218.35203 Bona, J. L.; Chen, H.; Sun, S.-M.; Zhang, B.-Y. 4 2010 Supercritical surface waves generated by negative or oscillatory forcing. Zbl 1428.76028 Choi, Jeongwhan; Lin, Tao; Sun, Shu-Ming; Whang, Sungim 3 2010 A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II. Zbl 1181.35228 Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 40 2009 Three-dimensional gravity-capillary waves on water – small surface tension case. Zbl 1181.37022 Deng, 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 1157.35090 Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 40 2008 Fully localised solitary-wave solutions of the three-dimensional gravity – capillary water-wave problem. Zbl 1133.76010 Groves, M. D.; Sun, S.-M. 36 2008 Supercritical surface gravity waves generated by a positive forcing. Zbl 1151.76384 Choi, J. W.; Sun, S. M.; Whang, S. I. 6 2008 Comparison of quarter-plane and two-point boundary value problems: the KdV-equation. Zbl 1123.35052 Bona, Jerry L.; Chen, Hongqiu; Sun, Shu-Ming; Zhang, Bing-Yu 8 2007 Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications. Zbl 1152.35099 Bona, Jerry L.; Sun, S. M.; Zhang, Bingyu 33 2006 Comparison of quarter-plane and two-point boundary value problems: the BBM-equation. Zbl 1088.35057 Bona, Jerry L.; Chen, Hongqiu; Sun, Shu Ming; Zhang, B.-Y. 12 2005 Conditional and unconditional well-posedness for nonlinear evolution equations. Zbl 1103.35092 Bona, Jerry L.; Sun, Shu-Ming; Zhang, Bing-Yu 14 2004 On the transverse linear instability of solitary water waves with large surface tension. Zbl 1056.76016 Pego, Robert L.; Sun, S. M. 9 2004 A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. Zbl 1057.35049 Bona, Jerry L.; Sun, Shu Ming; Zhang, Bing-Yu 139 2003 Forced oscillations of a damped Korteweg-de Vries equation in a quarter plane. Zbl 1054.35076 Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 32 2003 A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane. Zbl 0988.35141 Bona, Jerry L.; Sun, S. M.; Zhang, Bing-Yu 97 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 1068.76007 Groves, M. D.; Haragus, M.; Sun, S. M. 23 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. 3 2002 Transverse instability of gravity-capillary line solitary water waves. Zbl 1021.35082 Groves, Mark D.; Haragus, Mariana; Sun, Shu-Ming 10 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. 5 2001 Non-existence of truly solitary waves in water with small surface tension. Zbl 0933.76014 Sun, S. M. 17 1999 On the oscillatory tails with arbitrary phase shift for solutions of the perturbed Korteweg-de Vries equation. Zbl 0914.35121 Sun, S. M. 6 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. 10 1997 Some analytical properties of capillary-gravity waves in two-fluid flows of infinite depth. Zbl 0885.76015 Sun, S. M. 7 1997 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. 8 1996 Asymptotic method for interfacial solitary waves in a compressible fluid. Zbl 0858.76070 Shen, M. C.; Sun, S. M. 2 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 Exponentially small estimate for a generalized solitary wave solution to the perturbed K-dV equation. Zbl 0811.35132 Sun, S. M.; Shen, M. C. 8 1994 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 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. 20 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. 9 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. 7 1993 Exact theory of secondary supercritical solutions for steady surface waves over a bump. Zbl 0787.76009 Sun, S. M.; Shen, M. C. 6 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. 5 1992 Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3. Zbl 0725.76028 Sun, S. M. 49 1991 A model equation for steady surface waves over a bump. Zbl 0707.76016 Shen, S. P.; Shen, M. C.; Sun, S. M. 11 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 Critical viscous surface waves over an incline. Zbl 0612.76044 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 cited Publications top 5 cited Publications all top 5 Cited by 543 Authors 39 Sun, Shuming 18 Lar’kin, Nikolaj Andreevich 15 Zhang, Bingyu 13 Bona, Jerry Lloyd 13 Wahlén, Erik 12 Himonas, A. Alexandrou 11 Cavalcante, Márcio André Araújo 11 Deng, Shengfu 10 Faminskii, Andrei V. 10 Vanden-Broeck, Jean-Marc 10 Yan, Fangchi 9 Guo, Boling 9 Kaikina, Elena Igorevna 9 Wheeler, Miles H. 8 Capistrano-Filho, Roberto A. 8 Capistrano-Filho, Roberto de A. 8 Chentouf, Boumediène 8 Mantzavinos, Dionyssios 8 Özsarı, Türker 7 Grimshaw, Roger Hamilton James 7 Groves, Mark D. 7 Hayashi, Nakao 7 Tzirakis, Nikolaos 6 Chen, Robin Ming 6 Dias, Frédéric 6 Doronin, Gleb Germanovitch 6 Nilsson, Dag Viktor 6 Pazoto, Ademir Fernando 6 Smaoui, Nejib 6 Walsh, Samuel 6 Zhao, Xiangqing 6 Ziegler, Martin 5 Chen, Hongqiu 5 Compaan, Erin 5 Gallego, Fernando Andrés 5 Haragus, Mariana 5 Iooss, Gérard 5 Muñoz, Claudio 5 Părău, Emilian I. 5 Wright, J. Douglas 5 Wu, Jun 5 Yuan, Juanming 5 Zhong, Ning 4 Akers, Benjamin F. 4 Chen, Min 4 Faver, Timothy E. 4 Kalisch, Henrik 4 Kwak, Chulkwang 4 Lee, Sunmi 4 Lenells, Jonatan 4 Li, Jing 4 Li, Shenghao 4 Ogawa, Takayoshi 4 Pokhozhaev, Stanislav I. 4 Tzvetkov, Nikolay 4 Whang, Sungim 4 Wu, Jiahong 4 Yang, Xin 4 Zhang, Zhixiong 3 Akylas, T. R. 3 Barrandon, Matthieu 3 Cavalcanti, Marcelo Moreira 3 Chatziafratis, Andreas 3 Chen, Mo 3 Cheng, Po-Jen 3 Coron, Jean-Michel 3 Ehrnström, Mats 3 El-Kadri, Alaa 3 Fokas, Athanassios S. 3 Ifrim, Mihaela 3 Il’ichev, Andreĭ Teĭmurazovich 3 Jia, Chaohua 3 Kim, Hongjoong 3 Liu, Quansheng 3 Lokharu, Evgeniy 3 Lombardi, Eric 3 Rosier, Lionel 3 Saut, Jean-Claude 3 Selivanova, Svetlana V. 3 Sotelo-Garcia, Norma 3 Tataru, Daniel 3 Wang, Chuntian 3 Xiang, Shengquan 3 Yeh, Nai-Sher 3 Zhang, Ruigang 3 Zhou, Deqin 3 Zribi, Mohamed 2 Aiki, Masashi 2 Amick, Charles J. 2 Angulo Pava, Jaime 2 Asem, Rodrigo Véjar 2 Ashton, Anthony C. L. 2 Audiard, Corentin 2 Bao, Jifeng 2 Batal, Ahmet 2 Binder, Benjamin James 2 Bisognin, Vanilde 2 Borluk, Handan 2 Boulanger, Anne-Céline 2 Bruell, Gabriele ...and 443 more Authors all top 5 Cited in 149 Serials 29 Journal of Mathematical Analysis and Applications 19 Archive for Rational Mechanics and Analysis 18 Journal of Differential Equations 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Journal of Fluid Mechanics 15 Physica D 14 Physics of Fluids 13 Journal of Mathematical Physics 13 Studies in Applied Mathematics 12 Discrete and Continuous Dynamical Systems 10 Wave Motion 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Mathematical Methods in the Applied Sciences 8 SIAM Journal on Mathematical Analysis 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Nonlinearity 7 SIAM Journal on Control and Optimization 6 Applicable Analysis 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Applied Mathematics and Optimization 5 Mathematics and Computers in Simulation 5 Applied Numerical Mathematics 5 Communications in Partial Differential Equations 5 Journal of Dynamics and Differential Equations 5 NoDEA. Nonlinear Differential Equations and Applications 5 Journal of Mathematical Fluid Mechanics 5 Nonlinear Analysis. Real World Applications 5 Discrete and Continuous Dynamical Systems. Series B 5 Communications on Pure and Applied Analysis 5 Discrete and Continuous Dynamical Systems. Series S 5 Mathematical Control and Related Fields 4 Communications in Mathematical Physics 4 Applied Mathematics and Computation 4 Quarterly of Applied Mathematics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 European Journal of Mechanics. B. Fluids 4 Communications in Nonlinear Science and Numerical Simulation 4 Communications in Contemporary Mathematics 4 Differential Equations 3 Communications on Pure and Applied Mathematics 3 Journal of Engineering Mathematics 3 Physics of Fluids, A 3 Chaos, Solitons and Fractals 3 Journal of Computational and Applied Mathematics 3 Applied Mathematics Letters 3 Journal of Nonlinear Science 3 Journal of Inverse and Ill-Posed Problems 3 Qualitative Theory of Dynamical Systems 3 Journal of Systems Science and Complexity 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Advances in Mathematical Physics 3 Evolution Equations and Control Theory 3 SN Partial Differential Equations and Applications 3 Water Waves 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Notes 2 Inventiones Mathematicae 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 MCSS. Mathematics of Control, Signals, and Systems 2 Journal of Scientific Computing 2 Applied Mathematical Modelling 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Mathematical Sciences (New York) 2 Nonlinear Dynamics 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Applied Mathematics and Computing 2 Analysis & PDE 2 São Paulo Journal of Mathematical Sciences 2 Analysis and Mathematical Physics 2 Open Mathematics 2 Séminaire Laurent Schwartz. EDP et Applications 1 Acta Mechanica 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Fluid Dynamics 1 International Journal of Control 1 International Journal of Engineering Science 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Letters in Mathematical Physics 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Automatica 1 Calcolo 1 Glasgow Mathematical Journal 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Mathematische Annalen 1 Meccanica 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II ...and 49 more Serials all top 5 Cited in 34 Fields 410 Partial differential equations (35-XX) 204 Fluid mechanics (76-XX) 58 Systems theory; control (93-XX) 56 Dynamical systems and ergodic theory (37-XX) 36 Numerical analysis (65-XX) 26 Ordinary differential equations (34-XX) 11 Operator theory (47-XX) 9 Mechanics of deformable solids (74-XX) 8 Integral transforms, operational calculus (44-XX) 8 Geophysics (86-XX) 7 Optics, electromagnetic theory (78-XX) 6 Functional analysis (46-XX) 6 Computer science (68-XX) 5 Mathematical logic and foundations (03-XX) 5 Potential theory (31-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Probability theory and stochastic processes (60-XX) 5 Quantum theory (81-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 3 Mechanics of particles and systems (70-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year