## Wang, Shouhong

Compute Distance To:
 Author ID: wang.shouhong Published as: Wang, Shouhong; Wang, S. Homepage: http://www.indiana.edu/~fluid External Links: MGP · ORCID · ResearchGate
 Documents Indexed: 132 Publications since 1988, including 7 Books 1 Contribution as Editor Co-Authors: 36 Co-Authors with 106 Joint Publications 1,525 Co-Co-Authors
all top 5

### Co-Authors

 4 single-authored 59 Ma, Tian 21 Temam, Roger Meyer 13 Lions, Jacques-Louis 8 Sengul, Mustafa Taylan 5 Ghil, Michael 5 Hsia, Chun-Hsiung 5 Liu, Honghu 5 Shen, Jie 4 Samelson, Roger M. 3 Chekroun, Mickaël D. 3 Wang, Cheng 2 Cadigan, N. G. 2 Chen, Zhimin 2 Dijkstra, Henk A. 2 Kaper, Hans G. 2 Tachim Medjo, Theodore 2 Tang, Qi 2 Wang, Bixiang 1 Benoît, H. P. 1 Bona, Jerry Lloyd 1 Bu, Weiping 1 Cabral, Marco 1 Crouch, T. N. 1 Ern, Patricia 1 Hernandez, Marco 1 Hsia, Chung-Hsiung 1 Li, Jianping 1 Lin, Chang-Shou 1 Liu, Jianguo 1 Liu, Menghuan 1 Liu, Ruikuan 1 Ma, Qingfeng 1 Manley, Oscar P. 1 Mercier, Matthieu J. 1 Park, Jungho 1 Péméja, J. 1 Scott, H. N. 1 Shu, Shi 1 Simonnet, Eric 1 Soong, Chyi-Yeou 1 Tudball Smith, D. 1 Tzeng, Pei-Yuan 1 Wang, Xiaoming 1 Yang, Jiayan 1 Yang, Ping 1 Yari, Masoud 1 Yue, Xiaoqiang 1 Zhan, Mei-Qin 1 Zhang, Pingwen 1 Zhong, Chengkui
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### Serials

 10 Discrete and Continuous Dynamical Systems 8 Journal of Mathematical Physics 6 Discrete and Continuous Dynamical Systems. Series B 5 Physica D 4 Journal of Mathematical Study 4 Communications in Mathematical Sciences 3 Nonlinearity 3 Indiana University Mathematics Journal 3 Chinese Annals of Mathematics. Series B 3 SIAM Journal on Applied Mathematics 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Computational Mechanics Advances 3 Communications on Pure and Applied Analysis 2 Applicable Analysis 2 International Journal of Control 2 Journal of Fluid Mechanics 2 Mathematical Methods in the Applied Sciences 2 SIAM Journal on Numerical Analysis 2 Applied Mathematics Letters 2 Physics of Fluids 2 Methods and Applications of Analysis 2 Journal of Mathematical Fluid Mechanics 2 Nonlinear Analysis. Theory, Methods & Applications 2 SpringerBriefs in Mathematics 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Analysis Mathematica 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Physica A 1 Problems of Information Transmission 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Biometrika 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series A 1 Differential and Integral Equations 1 Journal of Global Optimization 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Nonlinear Science 1 Russian Mathematics 1 Potential Analysis 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Georgian Mathematical Journal 1 Engineering Analysis with Boundary Elements 1 Journal of Applied Statistics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Stochastic Environmental Research and Risk Assessment 1 Nonlinear Analysis. Real World Applications 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 SIAM Journal on Applied Dynamical Systems 1 Iranian Journal of Fuzzy Systems 1 Mathematical Surveys and Monographs 1 World Scientific Series on Nonlinear Science. Series A 1 Journal of Biological Dynamics 1 Communications in Computational Physics 1 Advances in Applied Mathematics and Mechanics 1 Proceedings A. Royal Society of London 1 AIMS Mathematics
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### Fields

 66 Partial differential equations (35-XX) 65 Fluid mechanics (76-XX) 42 Dynamical systems and ergodic theory (37-XX) 37 Geophysics (86-XX) 18 Statistical mechanics, structure of matter (82-XX) 10 Numerical analysis (65-XX) 8 Biology and other natural sciences (92-XX) 7 Ordinary differential equations (34-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Operator theory (47-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Relativity and gravitational theory (83-XX) 4 Quantum theory (81-XX) 4 Operations research, mathematical programming (90-XX) 3 Probability theory and stochastic processes (60-XX) 3 Astronomy and astrophysics (85-XX) 2 General and overarching topics; collections (00-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

110 Publications have been cited 1,628 times in 772 Documents Cited by Year
On the equations of the large-scale ocean. Zbl 0766.35039
Lions, Jacques-Louis; Temam, Roger; Wang, Shouhong
1992
New formulations of the primitive equations of atmosphere and applications. Zbl 0746.76019
Lions, Jacques Louis; Temam, Roger; Wang, Shouhong
1992
Necessary and sufficient conditions for the existence of global attractors for semigroups and applications. Zbl 1028.37047
Ma, Qingfeng; Wang, Shouhong; Zhong, Chengkui
2002
Mathematical theory for the coupled atmosphere-ocean models (CAO III). Zbl 0866.76025
Lions, Jacques-Louis; Temam, Roger; Wang, Shouhong
1995
Models of the coupled atmosphere and ocean (CAO I). Zbl 0805.76011
Lions, J. L.; Temam, R.; Wang, S.
1993
Time dependent Ginzburg-Landau equations of superconductivity. Zbl 0900.35371
Tang, Qi; Wang, S.
1995
Phase transition dynamics. Zbl 1285.82004
Ma, Tian; Wang, Shouhong
2014
Numerical analysis of the coupled atmosphere-ocean models (CAO II). Zbl 0805.76052
Lions, J. L.; Temam, R.; Wang, S.
1993
Bifurcation theory and applications. Zbl 1085.35001
Ma, Tian; Wang, Shouhong
2005
Rayleigh-Bénard convection: dynamics and structure in the physical space. Zbl 1133.35426
Ma, Tian; Wang, Shouhong
2007
Dynamic bifurcation and stability in the Rayleigh-Bénard convection. Zbl 1133.76315
Ma, Tian; Wang, Shouhong
2004
Some mathematical properties of the planetary geostrophic equations for large-scale ocean circulation. Zbl 1027.86002
Samelson, R.; Temam, R.; Wang, S.
1998
Geometric theory of incompressible flows with applications to fluid dynamics. Zbl 1099.76002
Ma, Tian; Wang, Shouhong
2005
On mathematical problems for the primitive equations of the ocean: The mesoscale midlatitude case. Zbl 0978.76102
Lions, Jacques L.; Temam, Roger; Wang, Shouhong
2000
Inertial forms of Navier-Stokes equations on the sphere. Zbl 0801.35109
Temam, Roger; Wang, Shouhong
1993
Hierarchically penalized Cox regression with grouped variables. Zbl 1163.62089
Wang, S.; Nan, B.; Zhu, N.; Zhu, J.
2009
Approximation of stochastic invariant manifolds. Stochastic manifolds for nonlinear SPDEs I. Zbl 1319.60002
Chekroun, Mickaël D.; Liu, Honghu; Wang, Shouhong
2015
Stochastic parameterizing manifolds and non-Markovian reduced equations. Stochastic manifolds for nonlinear SPDEs II. Zbl 1331.37009
Chekroun, Mickaël D.; Liu, Honghu; Wang, Shouhong
2015
Cahn-Hilliard equations and phase transition dynamics for binary systems. Zbl 1169.82004
Ma, Tian; Wang, Shouhong
2009
Structural bifurcation of 2-D incompressible flows. Zbl 1001.37038
Ghil, Michael; Ma, Tian; Wang, Shouhong
2001
Hopf bifurcation in quasi-geostrophic channel flow. Zbl 1126.76327
Chen, Zhi-Min; Ghil, Michael; Simonnet, Eric; Wang, Shouhong
2003
Boundary-layer separation and adverse pressure gradient for 2-D viscous incompressible flow. Zbl 1054.76025
Ghil, Michael; Liu, Jian-Guo; Wang, Cheng; Wang, Shouhong
2004
Dynamic transitions of quasi-geostrophic channel flow. Zbl 1329.35232
Dijkstra, Henk; Sengul, Taylan; Shen, Jie; Wang, Shouhong
2015
Geostrophic asymptotics of the primitive equations of the atmosphere. Zbl 0846.35106
Lions, J.-L.; Temam, R.; Wang, S.
1994
Structural classification and stability of divergence-free vector fields. Zbl 1012.57042
Ma, Tian; Wang, Shouhong
2002
Surface pressure Poisson equation formulation of the primitive equations: numerical schemes. Zbl 1130.76387
Samelson, Roger; Temam, Roger; Wang, Cheng; Wang, Shouhong
2003
Stress field around an arbitrarily shaped nanosized hole with surface tension. Zbl 1326.74014
Wang, S.; Dai, M.; Ru, C. Q.; Gao, C. F.
2014
Dynamic bifurcation of nonlinear evolution equations. Zbl 1193.37105
Ma, Tian; Wang, Shouhong
2005
Structural bifurcation of 2-D nondivergent flows with Dirichlet boundary conditions: Applications to boundary-layer separation. Zbl 1076.37041
Ghil, Michael; Ma, Tian; Wang, Shouhong
2005
Stampacchia generalized vector quasi-equilibrium problem with set-valued mapping. Zbl 1173.49017
Wang, S. H.; Fu, J. Y.
2009
A novel macro model of traffic flow with the consideration of anticipation optimal velocity. Zbl 1395.90091
Peng, G. H.; Song, W.; Peng, Y. J.; Wang, S. H.
2014
Pattern formation in Rayleigh-Bénard convection. Zbl 1291.35235
Sengul, Taylan; Wang, Shouhong
2013
Attractor bifurcation theory and its applications to Rayleigh-Bénard convection. Zbl 1210.37056
Ma, Tian; Wang, Shouhong
2003
Dynamic transition theory for thermohaline circulation. Zbl 1190.37084
Ma, Tian; Wang, Shouhong
2010
$$L^p$$ solutions to the time-dependent Ginzburg-Landau equations of superconductivity. Zbl 0919.35128
Wang, Shouhong; Zhan, Mei-Qin
1999
Research on fractional critical covered graphs. Zbl 1458.05221
Wang, S.; Zhang, W.
2020
Pattern formations of 2D Rayleigh-Bénard convection with no-slip boundary conditions for the velocity at the critical length scales. Zbl 1333.76036
Sengul, Taylan; Shen, Jie; Wang, Shouhong
2015
Stability and bifurcation of nonlinear evolution equations. Zbl 1298.35003
Ma, Tian; Wang, Shouhong
2007
Remarks on the planetary geostrophic model of gyre scale ocean circulation. Zbl 0979.35118
Samelson, R.; Temam, R.; Wang, S.
2000
Structure of 2D incompressible flows with the Dirichlet boundary conditions. Zbl 1051.76013
Ma, Tian; Wang, Shouhong
2001
Stability and bifurcation of the Taylor problem. Zbl 1089.76019
Ma, Tian; Wang, Shouhong
2006
A fourth-order numerical method for the planetary geostrophic equations with inviscid geostrophic balance. Zbl 1131.76039
Samelson, Roger; Temam, Roger; Wang, Cheng; Wang, Shouhong
2007
Rotating Boussinesq equations: dynamic stability and transitions. Zbl 1191.86014
Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong
2010
Attractors for the 3D baroclinic quasi-geostrophic equations of large- scale atmosphere. Zbl 0749.76087
Wang, Shouhong
1992
Tropical atmospheric circulations with humidity effects. Zbl 1371.86020
Hsia, Chun-Hsiung; Lin, Chang-Shou; Ma, Tian; Wang, Shouhong
2015
Dynamic transitions for quasilinear systems and Cahn-Hilliard equation with Onsager mobility. Zbl 1274.82039
Liu, Honghu; Sengul, Taylan; Wang, Shouhong
2012
New type of generalized vector quasiequilibrium problem. Zbl 1149.90144
Fu, J. Y.; Wang, S. H.; Huang, Z. D.
2007
Models for the coupled atmosphere and ocean. Zbl 0825.76128
Lions, J.-L.; Temam, R.; Wang, S.
1993
Dynamic model and phase transitions for liquid helium. Zbl 1152.81547
Ma, Tian; Wang, Shouhong
2008
On a wind-driven, double-gyre, quasi-geostrophic ocean model: Numerical simulations and structural analysis. Zbl 0954.76070
Shen, Jie; Tachim Medjo, T.; Wang, S.
1999
Dynamic transitions and pattern formations for a Cahn-Hilliard model with long-range repulsive interactions. Zbl 1332.35148
Liu, Honghu; Sengul, Taylan; Wang, Shouhong; Zhang, Pingwen
2015
Bifurcation and stability of two-dimensional double-diffusive convection. Zbl 1139.37048
Hsia, Chung-Hsiung; Ma, Tian; Wang, Shouhong
2008
Interior structural bifurcation and separation of 2D incompressible flows. Zbl 1071.37032
Ma, Tian; Wang, Shouhong
2004
Dynamical transitions of Turing patterns. Zbl 1157.92003
Kaper, Hans G.; Wang, Shouhong; Yari, Masoud
2009
The geometry of the stream lines of steady states of the Navier-Stokes equations. Zbl 0947.35110
Ma, Tian; Wang, Shouhong
1999
Attractor bifurcation of three-dimensional double-diffusive convection. Zbl 1146.35313
Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong
2008
Low-dimensional Galerkin approximations of nonlinear delay differential equations. Zbl 1336.34088
Wang, Shouhong; Liu, Honghu; Ghil, Michael; Chekroun, Mickaël D.
2016
On the 2D model of large-scale atmospheric motion: Well-posedness and attractors. Zbl 0755.35100
Wang, Shouhong
1992
Dynamic phase transition theory in PVT systems. Zbl 1211.82019
Ma, Tian; Wang, Shouhong
2008
A generalized Poincaré-Hopf index formula and its applications to 2-D incompressible flows. Zbl 0999.58005
Ma, Tian; Wang, Shouhong
2001
A simple global model for the general circulation of the atmosphere. Zbl 0992.86001
Lions, Jacques-Louis; Temam, Roger; Wang, Shouhong
1997
Boundary layer separation and structural bifurcation for 2-D incompressible fluid flows. Zbl 1050.76017
Ma, Tian; Wang, Shouhong
2004
Pattern formation and dynamic transition for magnetohydrodynamic convection. Zbl 1305.76130
Sengul, Taylan; Wang, Shouhong
2014
Long time behavior of the Ginzburg-Landau superconductivity equations. Zbl 0829.35122
Tang, Q.; Wang, S.
1995
Bifurcation and stability of superconductivity. Zbl 1111.58017
Ma, Tian; Wang, Shouhong
2005
Dynamic bifurcation of the Ginzburg-Landau equation. Zbl 1058.35031
Ma, Tian; Park, Jungho; Wang, Shouhong
2004
Bifurcation of nonlinear equations. I: Steady state bifurcation. Zbl 1095.47027
Ma, Tian; Wang, Shouhong
2004
Dynamics of incompressible vector fields. Zbl 0989.37012
Ma, Tian; Wang, Shouhong
1999
Hopf bifurcation for two-dimensional doubly diffusive convection. Zbl 1243.35016
Bona, Jerry L.; Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong
2011
Principle of exchange of stabilities and dynamic transitions. Zbl 1165.47046
Ma, Tian; Wang, Shouhong
2008
Phase transitions for the Brusselator model. Zbl 1315.82019
Ma, Tian; Wang, Shouhong
2011
Dynamic transition and pattern formation for chemotactic systems. Zbl 1327.92010
Ma, Tian; Wang, Shouhong
2014
Gravitational field equations and theory of dark matter and dark energy. Zbl 1305.83050
Ma, Tian; Wang, Shouhong
2014
Settling disks in a linearly stratified fluid. Zbl 1460.76280
Mercier, Matthieu J.; Wang, S.; Péméja, J.; Ern, P.; Ardekani, A. M.
2020
Dynamic transitions of surface tension driven convection. Zbl 1308.76103
Dijkstra, Henk; Sengul, Taylan; Wang, Shouhong
2013
Free boundary value problems for the coupled models of the ocean and the atmosphere. (Problèmes à frontière libre pour les modèles couplés de l’océan et de l’atmosphère.) Zbl 0817.76010
Lions, Jacques-Louis; Temam, Roger; Wang, Shouhong
1994
Topology of 2-D incompressible flows of applications to geophysical fluid dynamics. Zbl 1185.76610
Ma, Tian; Wang, Shouhong
2002
High-order approximation equations for the primitive equations of the atmosphere. Zbl 0909.76017
Tachim Medjo, T.; Temam, R.; Wang, S.
1997
A fast and accurate numerical scheme for the primitive equations of the atmosphere. Zbl 0956.35106
Shen, Jie; Wang, Shouhong
1998
Steady-state bifurcations of the three-dimensional Kolmogorov problem. Zbl 0947.35105
Chen, Zhi-Min; Wang, Shouhong
2000
Remarks on the Rayleigh-Bénard convection on spherical shells. Zbl 1273.35216
Wang, Shouhong; Yang, Ping
2013
Boundary-layer and interior separations in the Taylor-Couette-Poiseuille flow. Zbl 1202.76049
Ma, Tian; Wang, Shouhong
2009
Phase transitions for Belousov-Zhabotinsky reactions. Zbl 1219.35332
Ma, Tian; Wang, Shouhong
2011
Asymptotic structure for solutions of the Navier-Stokes equations. Zbl 1063.35129
Ma, Tian; Wang, Shouhong
2004
Dynamic phase transitions for ferromagnetic systems. Zbl 1152.81546
Ma, Tian; Wang, Shouhong
2008
Bifurcation of nonlinear equations. II: Dynamic bifurcation. Zbl 1095.47028
Ma, Tian; Wang, Shouhong
2004
Stratified rotating Boussinesq equations in geophysical fluid dynamics: dynamic bifurcation and periodic solutions. Zbl 1144.81356
Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong
2007
Structural evolution of the Taylor vortices. Zbl 0954.76018
Ma, Tian; Wang, Shouhong
2000
Determining nodes for the Ginzburg-Landau equations of superconductivity. Zbl 0952.35133
Kaper, Hans G.; Wang, Bixiang; Wang, Shouhong
1998
Gevrey class regularity for the solutions of the Ginzburg-Landau equations of superconductivity. Zbl 0952.35135
Wang, Bixiang; Wang, Shouhong
1998
Unified field theory and principle of representation invariance. Zbl 1298.83121
Ma, Tian; Wang, Shouhong
2014
Astrophysical dynamics and cosmology. Zbl 1324.85001
Ma, Tian; Wang, Shouhong
2014
Unified field equations coupling four forces and principle of interaction dynamics. Zbl 1303.81241
Ma, Tian; Wang, Shouhong
2015
Dynamic transitions and baroclinic instability for 3D continuously stratified Boussinesq flows. Zbl 1443.76238
Şengül, Taylan; Wang, Shouhong
2018
Phase transition dynamics. 2nd revised and expanded edition. Zbl 1451.82003
Ma, Tian; Wang, Shouhong
2019
Some mathematical and numerical issues in geophysical fluid dynamics and climate dynamics. Zbl 1199.86008
Li, Jianping; Wang, Shouhong
2008
Tropical atmospheric circulations: dynamic stability and transitions. Zbl 1186.86008
Ma, Tian; Wang, Shouhong
2010
A dimension split method for the incompressible Navier-Stokes equations in three dimensions. Zbl 1455.76035
Chen, H.; Li, K.; Wang, S.
2013
Global structure of 2-D incompressible flows. Zbl 1013.37049
Ma, Tian; Wang, Shouhong
2001
Modèles et analyse mathématiques du système Océan/Atmosphère. I: Structure des sous-systèmes. (Mathematical models and mathematical analysis of the Ocean/Atmosphere system. I: Sub-systems structure). Zbl 0767.76073
Lions, Jacques-Louis; Temam, Roger; Wang, Shouhong
1993
The influence of background turbulence on Ahmed-body wake bistability. Zbl 07406432
Burton, D.; Wang, S.; Tudball Smith, D.; Scott, H. N.; Crouch, T. N.; Thompson, M. C.
2021
Research on fractional critical covered graphs. Zbl 1458.05221
Wang, S.; Zhang, W.
2020
Settling disks in a linearly stratified fluid. Zbl 1460.76280
Mercier, Matthieu J.; Wang, S.; Péméja, J.; Ern, P.; Ardekani, A. M.
2020
Phase transition dynamics. 2nd revised and expanded edition. Zbl 1451.82003
Ma, Tian; Wang, Shouhong
2019
Dynamic transitions and baroclinic instability for 3D continuously stratified Boussinesq flows. Zbl 1443.76238
Şengül, Taylan; Wang, Shouhong
2018
Dynamic law of physical motion and potential-descending principle. Zbl 1399.82002
Ma, Tian; Wang, Shouhong
2017
Low-dimensional Galerkin approximations of nonlinear delay differential equations. Zbl 1336.34088
Wang, Shouhong; Liu, Honghu; Ghil, Michael; Chekroun, Mickaël D.
2016
Spectral theory of differential operators and energy levels of subatomic particles. Zbl 1374.35273
Ma, Tian; Wang, Shouhong
2016
Computing eigenmodes of elliptic operators using increasingly flat radial basis functions. Zbl 1403.65126
Huang, C.-S.; Hung, C.-H.; Wang, S.
2016
Approximation of stochastic invariant manifolds. Stochastic manifolds for nonlinear SPDEs I. Zbl 1319.60002
Chekroun, Mickaël D.; Liu, Honghu; Wang, Shouhong
2015
Stochastic parameterizing manifolds and non-Markovian reduced equations. Stochastic manifolds for nonlinear SPDEs II. Zbl 1331.37009
Chekroun, Mickaël D.; Liu, Honghu; Wang, Shouhong
2015
Dynamic transitions of quasi-geostrophic channel flow. Zbl 1329.35232
Dijkstra, Henk; Sengul, Taylan; Shen, Jie; Wang, Shouhong
2015
Pattern formations of 2D Rayleigh-Bénard convection with no-slip boundary conditions for the velocity at the critical length scales. Zbl 1333.76036
Sengul, Taylan; Shen, Jie; Wang, Shouhong
2015
Tropical atmospheric circulations with humidity effects. Zbl 1371.86020
Hsia, Chun-Hsiung; Lin, Chang-Shou; Ma, Tian; Wang, Shouhong
2015
Dynamic transitions and pattern formations for a Cahn-Hilliard model with long-range repulsive interactions. Zbl 1332.35148
Liu, Honghu; Sengul, Taylan; Wang, Shouhong; Zhang, Pingwen
2015
Unified field equations coupling four forces and principle of interaction dynamics. Zbl 1303.81241
Ma, Tian; Wang, Shouhong
2015
Phase transition dynamics. Zbl 1285.82004
Ma, Tian; Wang, Shouhong
2014
Stress field around an arbitrarily shaped nanosized hole with surface tension. Zbl 1326.74014
Wang, S.; Dai, M.; Ru, C. Q.; Gao, C. F.
2014
A novel macro model of traffic flow with the consideration of anticipation optimal velocity. Zbl 1395.90091
Peng, G. H.; Song, W.; Peng, Y. J.; Wang, S. H.
2014
Pattern formation and dynamic transition for magnetohydrodynamic convection. Zbl 1305.76130
Sengul, Taylan; Wang, Shouhong
2014
Dynamic transition and pattern formation for chemotactic systems. Zbl 1327.92010
Ma, Tian; Wang, Shouhong
2014
Gravitational field equations and theory of dark matter and dark energy. Zbl 1305.83050
Ma, Tian; Wang, Shouhong
2014
Unified field theory and principle of representation invariance. Zbl 1298.83121
Ma, Tian; Wang, Shouhong
2014
Astrophysical dynamics and cosmology. Zbl 1324.85001
Ma, Tian; Wang, Shouhong
2014
DEA decomposition of China’s environmental efficiency based on search algorithm. Zbl 1338.90239
Song, M. L.; Wang, S. H.
2014
Pattern formation in Rayleigh-Bénard convection. Zbl 1291.35235
Sengul, Taylan; Wang, Shouhong
2013
Dynamic transitions of surface tension driven convection. Zbl 1308.76103
Dijkstra, Henk; Sengul, Taylan; Wang, Shouhong
2013
Remarks on the Rayleigh-Bénard convection on spherical shells. Zbl 1273.35216
Wang, Shouhong; Yang, Ping
2013
A dimension split method for the incompressible Navier-Stokes equations in three dimensions. Zbl 1455.76035
Chen, H.; Li, K.; Wang, S.
2013
Dynamic transitions for quasilinear systems and Cahn-Hilliard equation with Onsager mobility. Zbl 1274.82039
Liu, Honghu; Sengul, Taylan; Wang, Shouhong
2012
Hopf bifurcation for two-dimensional doubly diffusive convection. Zbl 1243.35016
Bona, Jerry L.; Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong
2011
Phase transitions for the Brusselator model. Zbl 1315.82019
Ma, Tian; Wang, Shouhong
2011
Phase transitions for Belousov-Zhabotinsky reactions. Zbl 1219.35332
Ma, Tian; Wang, Shouhong
2011
Dynamic transition theory for thermohaline circulation. Zbl 1190.37084
Ma, Tian; Wang, Shouhong
2010
Rotating Boussinesq equations: dynamic stability and transitions. Zbl 1191.86014
Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong
2010
Tropical atmospheric circulations: dynamic stability and transitions. Zbl 1186.86008
Ma, Tian; Wang, Shouhong
2010
Hierarchically penalized Cox regression with grouped variables. Zbl 1163.62089
Wang, S.; Nan, B.; Zhu, N.; Zhu, J.
2009
Cahn-Hilliard equations and phase transition dynamics for binary systems. Zbl 1169.82004
Ma, Tian; Wang, Shouhong
2009
Stampacchia generalized vector quasi-equilibrium problem with set-valued mapping. Zbl 1173.49017
Wang, S. H.; Fu, J. Y.
2009
Dynamical transitions of Turing patterns. Zbl 1157.92003
Kaper, Hans G.; Wang, Shouhong; Yari, Masoud
2009
Boundary-layer and interior separations in the Taylor-Couette-Poiseuille flow. Zbl 1202.76049
Ma, Tian; Wang, Shouhong
2009
Dynamic model and phase transitions for liquid helium. Zbl 1152.81547
Ma, Tian; Wang, Shouhong
2008
Bifurcation and stability of two-dimensional double-diffusive convection. Zbl 1139.37048
Hsia, Chung-Hsiung; Ma, Tian; Wang, Shouhong
2008
Attractor bifurcation of three-dimensional double-diffusive convection. Zbl 1146.35313
Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong
2008
Dynamic phase transition theory in PVT systems. Zbl 1211.82019
Ma, Tian; Wang, Shouhong
2008
Principle of exchange of stabilities and dynamic transitions. Zbl 1165.47046
Ma, Tian; Wang, Shouhong
2008
Dynamic phase transitions for ferromagnetic systems. Zbl 1152.81546
Ma, Tian; Wang, Shouhong
2008
Some mathematical and numerical issues in geophysical fluid dynamics and climate dynamics. Zbl 1199.86008
Li, Jianping; Wang, Shouhong
2008
Rayleigh-Bénard convection: dynamics and structure in the physical space. Zbl 1133.35426
Ma, Tian; Wang, Shouhong
2007
Stability and bifurcation of nonlinear evolution equations. Zbl 1298.35003
Ma, Tian; Wang, Shouhong
2007
A fourth-order numerical method for the planetary geostrophic equations with inviscid geostrophic balance. Zbl 1131.76039
Samelson, Roger; Temam, Roger; Wang, Cheng; Wang, Shouhong
2007
New type of generalized vector quasiequilibrium problem. Zbl 1149.90144
Fu, J. Y.; Wang, S. H.; Huang, Z. D.
2007
Stratified rotating Boussinesq equations in geophysical fluid dynamics: dynamic bifurcation and periodic solutions. Zbl 1144.81356
Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong
2007
Stability and bifurcation of the Taylor problem. Zbl 1089.76019
Ma, Tian; Wang, Shouhong
2006
Bifurcation theory and applications. Zbl 1085.35001
Ma, Tian; Wang, Shouhong
2005
Geometric theory of incompressible flows with applications to fluid dynamics. Zbl 1099.76002
Ma, Tian; Wang, Shouhong
2005
Dynamic bifurcation of nonlinear evolution equations. Zbl 1193.37105
Ma, Tian; Wang, Shouhong
2005
Structural bifurcation of 2-D nondivergent flows with Dirichlet boundary conditions: Applications to boundary-layer separation. Zbl 1076.37041
Ghil, Michael; Ma, Tian; Wang, Shouhong
2005
Bifurcation and stability of superconductivity. Zbl 1111.58017
Ma, Tian; Wang, Shouhong
2005
Periodic structure of 2D Navier-Stokes equations. Zbl 1089.35044
Ma, Tian; Wang, Shouhong
2005
Dynamic bifurcation and stability in the Rayleigh-Bénard convection. Zbl 1133.76315
Ma, Tian; Wang, Shouhong
2004
Boundary-layer separation and adverse pressure gradient for 2-D viscous incompressible flow. Zbl 1054.76025
Ghil, Michael; Liu, Jian-Guo; Wang, Cheng; Wang, Shouhong
2004
Interior structural bifurcation and separation of 2D incompressible flows. Zbl 1071.37032
Ma, Tian; Wang, Shouhong
2004
Boundary layer separation and structural bifurcation for 2-D incompressible fluid flows. Zbl 1050.76017
Ma, Tian; Wang, Shouhong
2004
Dynamic bifurcation of the Ginzburg-Landau equation. Zbl 1058.35031
Ma, Tian; Park, Jungho; Wang, Shouhong
2004
Bifurcation of nonlinear equations. I: Steady state bifurcation. Zbl 1095.47027
Ma, Tian; Wang, Shouhong
2004
Asymptotic structure for solutions of the Navier-Stokes equations. Zbl 1063.35129
Ma, Tian; Wang, Shouhong
2004
Bifurcation of nonlinear equations. II: Dynamic bifurcation. Zbl 1095.47028
Ma, Tian; Wang, Shouhong
2004
Molecular dynamics simulation of rotating fluids in a cylindrical container. Zbl 1186.76494
Soong, C. Y.; Wang, S. H.; Tzeng, P. Y.
2004
Hopf bifurcation in quasi-geostrophic channel flow. Zbl 1126.76327
Chen, Zhi-Min; Ghil, Michael; Simonnet, Eric; Wang, Shouhong
2003
Surface pressure Poisson equation formulation of the primitive equations: numerical schemes. Zbl 1130.76387
Samelson, Roger; Temam, Roger; Wang, Cheng; Wang, Shouhong
2003
Attractor bifurcation theory and its applications to Rayleigh-Bénard convection. Zbl 1210.37056
Ma, Tian; Wang, Shouhong
2003
Necessary and sufficient conditions for the existence of global attractors for semigroups and applications. Zbl 1028.37047
Ma, Qingfeng; Wang, Shouhong; Zhong, Chengkui
2002
Structural classification and stability of divergence-free vector fields. Zbl 1012.57042
Ma, Tian; Wang, Shouhong
2002
Topology of 2-D incompressible flows of applications to geophysical fluid dynamics. Zbl 1185.76610
Ma, Tian; Wang, Shouhong
2002
Structural bifurcation of 2-D incompressible flows. Zbl 1001.37038
Ghil, Michael; Ma, Tian; Wang, Shouhong
2001
Structure of 2D incompressible flows with the Dirichlet boundary conditions. Zbl 1051.76013
Ma, Tian; Wang, Shouhong
2001
A generalized Poincaré-Hopf index formula and its applications to 2-D incompressible flows. Zbl 0999.58005
Ma, Tian; Wang, Shouhong
2001
Global structure of 2-D incompressible flows. Zbl 1013.37049
Ma, Tian; Wang, Shouhong
2001
On mathematical problems for the primitive equations of the ocean: The mesoscale midlatitude case. Zbl 0978.76102
Lions, Jacques L.; Temam, Roger; Wang, Shouhong
2000
Remarks on the planetary geostrophic model of gyre scale ocean circulation. Zbl 0979.35118
Samelson, R.; Temam, R.; Wang, S.
2000
Steady-state bifurcations of the three-dimensional Kolmogorov problem. Zbl 0947.35105
Chen, Zhi-Min; Wang, Shouhong
2000
Structural evolution of the Taylor vortices. Zbl 0954.76018
Ma, Tian; Wang, Shouhong
2000
Dynamics of 2-D incompressible flows. Zbl 0957.37046
Ma, Tian; Wang, Shouhong
2000
$$L^p$$ solutions to the time-dependent Ginzburg-Landau equations of superconductivity. Zbl 0919.35128
Wang, Shouhong; Zhan, Mei-Qin
1999
On a wind-driven, double-gyre, quasi-geostrophic ocean model: Numerical simulations and structural analysis. Zbl 0954.76070
Shen, Jie; Tachim Medjo, T.; Wang, S.
1999
The geometry of the stream lines of steady states of the Navier-Stokes equations. Zbl 0947.35110
Ma, Tian; Wang, Shouhong
1999
Dynamics of incompressible vector fields. Zbl 0989.37012
Ma, Tian; Wang, Shouhong
1999
Some mathematical properties of the planetary geostrophic equations for large-scale ocean circulation. Zbl 1027.86002
Samelson, R.; Temam, R.; Wang, S.
1998
A fast and accurate numerical scheme for the primitive equations of the atmosphere. Zbl 0956.35106
Shen, Jie; Wang, Shouhong
1998
Determining nodes for the Ginzburg-Landau equations of superconductivity. Zbl 0952.35133
Kaper, Hans G.; Wang, Bixiang; Wang, Shouhong
1998
Gevrey class regularity for the solutions of the Ginzburg-Landau equations of superconductivity. Zbl 0952.35135
Wang, Bixiang; Wang, Shouhong
1998
A simple global model for the general circulation of the atmosphere. Zbl 0992.86001
Lions, Jacques-Louis; Temam, Roger; Wang, Shouhong
1997
High-order approximation equations for the primitive equations of the atmosphere. Zbl 0909.76017
Tachim Medjo, T.; Temam, R.; Wang, S.
1997
Mathematical theory for the coupled atmosphere-ocean models (CAO III). Zbl 0866.76025
Lions, Jacques-Louis; Temam, Roger; Wang, Shouhong
1995
Time dependent Ginzburg-Landau equations of superconductivity. Zbl 0900.35371
Tang, Qi; Wang, S.
1995
Long time behavior of the Ginzburg-Landau superconductivity equations. Zbl 0829.35122
Tang, Q.; Wang, S.
1995
Inertial manifolds, partially space-averaged equations, and the separation of scales in turbulent flows. Zbl 1023.76548
Manley, Oscar; Temam, Roger; Wang, Shouhong
1995
Geostrophic asymptotics of the primitive equations of the atmosphere. Zbl 0846.35106
Lions, J.-L.; Temam, R.; Wang, S.
1994
Free boundary value problems for the coupled models of the ocean and the atmosphere. (Problèmes à frontière libre pour les modèles couplés de l’océan et de l’atmosphère.) Zbl 0817.76010
Lions, Jacques-Louis; Temam, Roger; Wang, Shouhong
1994
...and 10 more Documents
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### Cited by 794 Authors

 37 Temam, Roger Meyer 36 Wang, Shouhong 28 Ma, Tian 26 Tachim Medjo, Theodore 25 Zhong, Chengkui 22 Fan, Jishan 22 Wang, Quan 16 Titi, Edriss Saleh 14 You, Bo 13 Chekroun, Mickaël D. 13 Gao, Hongjun 13 Wang, Cheng 12 Sengul, Mustafa Taylan 11 Guo, Boling 11 Luo, Hong 11 Ma, Qiaozhen 9 Chen, Zhimin 9 Hieber, Matthias 9 Li, Jinkai 8 Glatt-Holtz, Nathan E. 8 Hsia, Chun-Hsiung 8 Tribbia, Joseph J. 8 Wang, Yejuan 8 Zhou, Shengfan 7 Duan, Jinqiao 7 Guillén González, Francisco M. 7 Han, Daozhi 7 Hussein, Amru 7 Kashiwabara, Takahito 7 Langa, Jose’ Antonio 7 Li, Fang 7 Li, Yongjun 7 Ma, Shan 7 Sun, Chunyou 7 Wang, Bixiang 7 Ziane, Mohammed 6 Aggul, Mustafa 6 Berti, Valeria 6 Cao, Chongsheng 6 Chacón Rebollo, Tomás 6 Choi, Yuncherl 6 Cui, Hongyong 6 Dijkstra, Henk A. 6 Fabrizio, Mauro 6 He, Yinnian 6 Huang, Daiwen 6 Ibragimov, Ranis N. 6 Kloeden, Peter Eris 6 Kukavica, Igor 6 Li, Desheng 6 Liu, Ruikuan 6 Mao, Yiqiu 6 Pan, Zhigang 6 Petcu, Madalina 6 Wu, Delin 6 Xie, Yongqin 5 Connors, Jeffrey Mark 5 Giga, Yoshikazu 5 Guo, Yanfeng 5 Hamouda, Makram 5 Han, Jongmin 5 Jung, Changyeol 5 Labovsky, Alexander E. 5 Li, Hongtao 5 Li, Yangrong 5 Liu, Honghu 5 Łukaszewicz, Grzegorz 5 Ma, Liangliang 5 Park, Jungho 5 Price, W. Geraint 5 Rousseau, Antoine 5 Song, Lingyu 5 Tang, Tong 5 Wang, Suyun 5 Zhan, Mei-Qin 5 Zhang, Rangrang 5 Zhang, Yindi 5 Zhao, Caidi 5 Zhou, Yong 4 Abdallah, Ahmed Y. 4 Belmiloudi, Aziz 4 Bousquet, Arthur 4 Bresch, Didier 4 Brzeźniak, Zdzisław 4 Chen, Qingshan 4 Coti Zelati, Michele 4 Deliceoğlu, Ali 4 Ghil, Michael 4 Guo, Ben-Yu 4 Honda, Hirotada 4 Hu, Changbing 4 Kalita, Piotr 4 Le Gia, Quoc Thong 4 Liu, Tingting 4 Lucarini, Valerio 4 Nakamura, Gen 4 Ozawa, Tohru 4 Rodríguez-Gómez, Diego 4 Shen, Jie 4 Sun, Chengfeng ...and 694 more Authors
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### Cited in 180 Serials

 42 Discrete and Continuous Dynamical Systems. Series B 40 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 37 Journal of Mathematical Analysis and Applications 33 Journal of Differential Equations 29 Journal of Mathematical Physics 22 Physica D 22 Journal of Mathematical Fluid Mechanics 20 Applied Mathematics and Computation 20 Discrete and Continuous Dynamical Systems 20 Nonlinear Analysis. Real World Applications 14 Applicable Analysis 14 Applied Mathematics Letters 13 Abstract and Applied Analysis 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Boundary Value Problems 10 Archive for Rational Mechanics and Analysis 10 Journal of Computational Physics 10 Mathematical Methods in the Applied Sciences 10 Journal of Scientific Computing 9 Computers & Mathematics with Applications 8 Applied Mathematics and Optimization 8 Communications on Pure and Applied Analysis 7 Journal of Applied Analysis and Computation 6 Communications in Mathematical Physics 6 Numerische Mathematik 6 Chinese Annals of Mathematics. Series B 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 SIAM Journal on Mathematical Analysis 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Statistical Physics 5 Mathematics of Computation 5 Journal of Computational and Applied Mathematics 5 Journal of Functional Analysis 5 Proceedings of the American Mathematical Society 5 SIAM Journal on Numerical Analysis 5 Applied Numerical Mathematics 5 Acta Mathematicae Applicatae Sinica. English Series 5 Journal of Nonlinear Science 5 Physics of Fluids 5 Discrete Dynamics in Nature and Society 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Science China. Mathematics 5 AIMS Mathematics 4 Communications on Pure and Applied Mathematics 4 Nonlinearity 4 Chaos, Solitons and Fractals 4 Applied Mathematics and Mechanics. (English Edition) 4 Acta Applicandae Mathematicae 4 Numerical Methods for Partial Differential Equations 4 Applications of Mathematics 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Chaos 4 Acta Mathematica Sinica. English Series 4 Communications in Nonlinear Science and Numerical Simulation 4 Advances in Difference Equations 3 Computers and Fluids 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Fluid Mechanics 3 Acta Mathematica Vietnamica 3 Numerical Functional Analysis and Optimization 3 Quarterly of Applied Mathematics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Advances in Differential Equations 3 Mathematical Problems in Engineering 3 Journal of Inequalities and Applications 3 Dynamical Systems 3 Journal of Applied Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Stochastics and Dynamics 3 SIAM Journal on Applied Dynamical Systems 3 Analysis and Applications (Singapore) 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Discrete and Continuous Dynamical Systems. Series S 3 Advances in Mathematical Physics 2 Journal of Geometry and Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Polonici Mathematici 2 International Journal of Mathematics and Mathematical Sciences 2 Mathematische Nachrichten 2 Osaka Journal of Mathematics 2 Quaestiones Mathematicae 2 Tokyo Journal of Mathematics 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 Communications in Partial Differential Equations 2 Journal of Dynamics and Differential Equations 2 SIAM Journal on Scientific Computing 2 Topological Methods in Nonlinear Analysis 2 Annales Mathématiques Blaise Pascal 2 Computational and Applied Mathematics 2 Doklady Mathematics 2 International Journal of Computational Fluid Dynamics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Qualitative Theory of Dynamical Systems 2 Journal of Evolution Equations 2 Milan Journal of Mathematics ...and 80 more Serials
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### Cited in 38 Fields

 592 Partial differential equations (35-XX) 342 Fluid mechanics (76-XX) 199 Geophysics (86-XX) 181 Dynamical systems and ergodic theory (37-XX) 84 Numerical analysis (65-XX) 62 Statistical mechanics, structure of matter (82-XX) 52 Probability theory and stochastic processes (60-XX) 30 Ordinary differential equations (34-XX) 26 Operator theory (47-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 18 Mechanics of deformable solids (74-XX) 17 Biology and other natural sciences (92-XX) 14 Classical thermodynamics, heat transfer (80-XX) 13 Systems theory; control (93-XX) 10 Global analysis, analysis on manifolds (58-XX) 7 Astronomy and astrophysics (85-XX) 5 Functional analysis (46-XX) 5 Optics, electromagnetic theory (78-XX) 5 Relativity and gravitational theory (83-XX) 4 Measure and integration (28-XX) 4 Integral equations (45-XX) 4 Manifolds and cell complexes (57-XX) 4 Mechanics of particles and systems (70-XX) 4 Quantum theory (81-XX) 3 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Mathematics education (97-XX)