Edit Profile (opens in new tab) Ma, Tian Co-Author Distance Author ID: ma.tian Published as: Ma, Tian Documents Indexed: 102 Publications since 1988, including 5 Books and 2 Additional arXiv Preprints Co-Authors: 34 Co-Authors with 96 Joint Publications 1,280 Co-Co-Authors all top 5 Co-Authors 0 single-authored 61 Wang, Shouhong 9 Yu, Qingyu 5 Bollt, Erik M. 5 Hsia, Chun-Hsiung 5 Luo, Hong 4 Li, Limei 3 Kempf, Andreas M. 3 Liu, Ruikuan 3 Song, Lingyu 3 Stein, Oliver T. 3 Yang, Jiayan 3 Zhang, Yindi 2 Bragg, Andrew D. 2 Chakraborty, Nilanjan 2 Fröhlich, Jochen 2 Ghil, Michael 2 Lucas, Dirk 2 Pan, Zhigang 2 Park, Jungho 2 Wang, Quan 1 Bona, Jerry Lloyd 1 Chang, Jin 1 Gan, W. Q. 1 Geurts, Bernard J. 1 Hessenkemper, Hendrik 1 Hou, Zhibo 1 Hsia, Chung-Hsiung 1 Jakirlic, Suad 1 Li, Dapeng 1 Lin, Chang-Shou 1 Ma, Feiyao 1 Ott, Bernhard 1 Ouellette, Nicholas T. 1 Pettit, M. W. A. 1 Pu, Zhilin 1 Sang, Hongwei 1 Shen, Jianzhong 1 Wang, Shuozhong 1 Xu, Yan 1 Yan, Dongming 1 Zhang, Qiang all top 5 Serials 7 Journal of Mathematical Physics 7 Discrete and Continuous Dynamical Systems 7 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Mathematical Study 4 Boundary Value Problems 3 Journal of Fluid Mechanics 3 Chinese Annals of Mathematics. Series B 3 Journal of Applied Mathematics 3 SIAM Journal on Applied Dynamical Systems 2 Indiana University Mathematics Journal 2 Chinese Annals of Mathematics. Series A 2 Physica D 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Methods and Applications of Analysis 2 Combustion Theory and Modelling 2 Nonlinear Analysis. Real World Applications 2 Communications on Pure and Applied Analysis 2 Communications in Mathematical Sciences 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Astrophysics and Space Science 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Acta Mathematica Sinica 1 Applied Mathematics and Optimization 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Zeitschrift für Analysis und ihre Anwendungen 1 Journal of Mathematics. Wuhan University 1 Applied Mathematics and Mechanics. (English Edition) 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Differential and Integral Equations 1 SIAM Journal on Applied Mathematics 1 Journal of Partial Differential Equations 1 Journal of Nonlinear Science 1 Applied Mathematics 1 Georgian Mathematical Journal 1 Engineering Analysis with Boundary Elements 1 Journal of Shanghai University 1 Chaos 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Acta Mathematica Sinica. English Series 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 International Journal of Computational Methods 1 Advances in Difference Equations 1 Mathematical Surveys and Monographs 1 World Scientific Series on Nonlinear Science. Series A 1 Communications in Mathematics and Statistics 1 Proceedings A. Royal Society of London 1 Pure and Applied Functional Analysis 1 AIMS Mathematics all top 5 Fields 57 Partial differential equations (35-XX) 40 Fluid mechanics (76-XX) 33 Dynamical systems and ergodic theory (37-XX) 15 Statistical mechanics, structure of matter (82-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Geophysics (86-XX) 7 Operator theory (47-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Quantum theory (81-XX) 6 Relativity and gravitational theory (83-XX) 5 Manifolds and cell complexes (57-XX) 4 Ordinary differential equations (34-XX) 4 Numerical analysis (65-XX) 4 Biology and other natural sciences (92-XX) 3 Mechanics of deformable solids (74-XX) 3 Astronomy and astrophysics (85-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 849 times in 402 Documents Cited by ▼ Year ▼ Bifurcation theory and applications. Zbl 1085.35001 Ma, Tian; Wang, Shouhong 108 2005 Phase transition dynamics. Zbl 1285.82004 Ma, Tian; Wang, Shouhong 65 2014 Rayleigh-Bénard convection: dynamics and structure in the physical space. Zbl 1133.35426 Ma, Tian; Wang, Shouhong 45 2007 Stability and bifurcation of nonlinear evolution equations. Zbl 1298.35003 Ma, Tian; Wang, Shouhong 42 2007 Geometric theory of incompressible flows with applications to fluid dynamics. Zbl 1099.76002 Ma, Tian; Wang, Shouhong 38 2005 Global attractor of a modified Swift-Hohenberg equation in \(H^k\) spaces. Zbl 1180.35126 Song, Lingyu; Zhang, Yindi; Ma, Tian 36 2010 Dynamic bifurcation and stability in the Rayleigh-Bénard convection. Zbl 1133.76315 Ma, Tian; Wang, Shouhong 33 2004 Differential geometry perspective of shape coherence and curvature evolution by finite-time nonhyperbolic splitting. Zbl 1329.37031 Ma, Tian; Bollt, Erik M. 25 2014 Dynamic transition theory for thermohaline circulation. Zbl 1190.37084 Ma, Tian; Wang, Shouhong 23 2010 Cahn-Hilliard equations and phase transition dynamics for binary systems. Zbl 1169.82004 Ma, Tian; Wang, Shouhong 21 2009 Global attractor of the Cahn-Hilliard equation in \(H^k\) spaces. Zbl 1173.35028 Song, Lingyu; Zhang, Yindi; Ma, Tian 20 2009 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 17 2005 Structural classification and stability of divergence-free vector fields. Zbl 1012.57042 Ma, Tian; Wang, Shouhong 17 2002 Attractor bifurcation theory and its applications to Rayleigh-Bénard convection. Zbl 1210.37056 Ma, Tian; Wang, Shouhong 16 2003 Stability and bifurcation of the Taylor problem. Zbl 1089.76019 Ma, Tian; Wang, Shouhong 16 2006 Phase transition dynamics. 2nd revised and expanded edition. Zbl 1451.82003 Ma, Tian; Wang, Shouhong 16 2019 Structural bifurcation of 2-D incompressible flows. Zbl 1001.37038 Ghil, Michael; Ma, Tian; Wang, Shouhong 15 2001 Dynamic bifurcation of nonlinear evolution equations. Zbl 1193.37105 Ma, Tian; Wang, Shouhong 14 2005 Rotating Boussinesq equations: dynamic stability and transitions. Zbl 1191.86014 Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong 14 2010 Bifurcation and stability of two-dimensional double-diffusive convection. Zbl 1139.37048 Hsia, Chung-Hsiung; Ma, Tian; Wang, Shouhong 14 2008 Tropical atmospheric circulations with humidity effects. Zbl 1371.86020 Hsia, Chun-Hsiung; Lin, Chang-Shou; Ma, Tian; Wang, Shouhong 14 2015 Relatively coherent sets as a hierarchical partition method. Zbl 1275.37007 Ma, Tian; Bollt, Erik M. 11 2013 Attractor bifurcation of three-dimensional double-diffusive convection. Zbl 1146.35313 Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong 11 2008 Structure of 2D incompressible flows with the Dirichlet boundary conditions. Zbl 1051.76013 Ma, Tian; Wang, Shouhong 11 2001 Dynamic transition and pattern formation for chemotactic systems. Zbl 1327.92010 Ma, Tian; Wang, Shouhong 10 2014 Predicting the damage on a target plate produced by hypervelocity impact using a decoupled finite particle method. Zbl 1404.74208 Zhang, Z. L.; Feng, D. L.; Ma, T.; Liu, M. B. 10 2019 Interior structural bifurcation and separation of 2D incompressible flows. Zbl 1071.37032 Ma, Tian; Wang, Shouhong 9 2004 Boundary layer separation and structural bifurcation for 2-D incompressible fluid flows. Zbl 1050.76017 Ma, Tian; Wang, Shouhong 9 2004 Phase transitions for the Brusselator model. Zbl 1315.82019 Ma, Tian; Wang, Shouhong 8 2011 The geometry of the stream lines of steady states of the Navier-Stokes equations. Zbl 0947.35110 Ma, Tian; Wang, Shouhong 8 1999 Boundary-layer and interior separations in the Taylor-Couette-Poiseuille flow. Zbl 1202.76049 Ma, Tian; Wang, Shouhong 8 2009 Phase transitions for Belousov-Zhabotinsky reactions. Zbl 1219.35332 Ma, Tian; Wang, Shouhong 7 2011 A predicable condition for boundary layer separation of 2-D incompressible fluid flows. Zbl 1304.35498 Luo, Hong; Wang, Quan; Ma, Tian 7 2015 Dynamic model and phase transitions for liquid helium. Zbl 1152.81547 Ma, Tian; Wang, Shouhong 7 2008 A posteriori testing of algebraic flame surface density models for LES. Zbl 1516.80017 Ma, T.; Stein, O. T.; Chakraborty, N.; Kempf, A. M. 7 2013 Shape coherence and finite-time curvature evolution. Zbl 1317.37034 Ma, Tian; Bollt, Erik M. 6 2015 Boundary layer separation of 2-D incompressible Dirichlet flows. Zbl 1304.35508 Wang, Quan; Luo, Hong; Ma, Tian 6 2015 Stretching and folding in finite time. Zbl 1391.76173 Ma, Tian; Ouellette, Nicholas T.; Bollt, Erik M. 6 2016 A generalized Poincaré-Hopf index formula and its applications to 2-D incompressible flows. Zbl 0999.58005 Ma, Tian; Wang, Shouhong 6 2001 Bifurcation and stability of superconductivity. Zbl 1111.58017 Ma, Tian; Wang, Shouhong 6 2005 Dynamic phase transitions for ferromagnetic systems. Zbl 1152.81546 Ma, Tian; Wang, Shouhong 6 2008 Numerical study on high velocity impact welding using a modified SPH method. Zbl 1404.76221 Zhang, Z. L.; Ma, T.; Liu, M. B.; Feng, D. 6 2019 Progress in the second-moment closure for bubbly flow based on direct numerical simulation data. Zbl 1430.76455 Ma, Tian; Lucas, Dirk; Jakirlić, Suad; Fröhlich, Jochen 5 2020 Gravitational field equations and theory of dark matter and dark energy. Zbl 1305.83050 Ma, Tian; Wang, Shouhong 5 2014 Dynamic bifurcation of the Ginzburg-Landau equation. Zbl 1058.35031 Ma, Tian; Park, Jungho; Wang, Shouhong 5 2004 The Keldysh-Fichera boundary value problems for degenerate quasilinear elliptic equations of second order. Zbl 0731.35044 Ma, Tian; Yu, Qingyu 5 1989 Dynamics of incompressible vector fields. Zbl 0989.37012 Ma, Tian; Wang, Shouhong 5 1999 Dynamic phase transition theory in PVT systems. Zbl 1211.82019 Ma, Tian; Wang, Shouhong 5 2008 Principle of exchange of stabilities and dynamic transitions. Zbl 1165.47046 Ma, Tian; Wang, Shouhong 5 2008 Hopf bifurcation for two-dimensional doubly diffusive convection. Zbl 1243.35016 Bona, Jerry L.; Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong 4 2011 Existence of solutions to strongly damped quasilinear wave equations. Zbl 1348.35144 Luo, Hong; Li, Li-Mei; Ma, Tian 4 2012 Bifurcation of nonlinear equations. I: Steady state bifurcation. Zbl 1095.47027 Ma, Tian; Wang, Shouhong 4 2004 A posteriori testing of the flame surface density transport equation for LES. Zbl 1516.76044 Ma, T.; Stein, O. T.; Chakraborty, N.; Kempf, A. M. 4 2014 Global solutions to a class of nonlinear damped wave operator equations. Zbl 1275.35149 Pan, Zhigang; Pu, Zhilin; Ma, Tian 3 2012 Tropical atmospheric circulations: dynamic stability and transitions. Zbl 1186.86008 Ma, Tian; Wang, Shouhong 3 2010 Topology of 2-D incompressible flows of applications to geophysical fluid dynamics. Zbl 1185.76610 Ma, Tian; Wang, Shouhong 3 2002 Scale-dependent anisotropy, energy transfer and intermittency in bubble-laden turbulent flows. Zbl 1475.76104 Ma, Tian; Ott, Bernhard; Fröhlich, Jochen; Bragg, Andrew D. 3 2021 Hurst exponent analysis of financial time series. Zbl 1010.91084 Sang, Hongwei; Ma, Tian; Wang, Shuozhong 3 2001 Stratified rotating Boussinesq equations in geophysical fluid dynamics: dynamic bifurcation and periodic solutions. Zbl 1144.81356 Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong 3 2007 The existence of global attractors for 2D Navier-Stokes equations in \(H^k\) spaces. Zbl 1179.35068 Zhang, Yin Di; Song, Ling Yu; Ma, Tian 3 2009 Dynamic law of physical motion and potential-descending principle. Zbl 1399.82002 Ma, Tian; Wang, Shouhong 3 2017 Unified field theory and principle of representation invariance. Zbl 1298.83121 Ma, Tian; Wang, Shouhong 2 2014 Astrophysical dynamics and cosmology. Zbl 1324.85001 Ma, Tian; Wang, Shouhong 2 2014 Dynamic transition and pattern formation in Taylor problem. Zbl 1205.35229 Ma, Tian; Wang, Shouhong 2 2010 Asymptotic structure for solutions of the Navier-Stokes equations. Zbl 1063.35129 Ma, Tian; Wang, Shouhong 2 2004 Unified field equations coupling four forces and principle of interaction dynamics. Zbl 1303.81241 Ma, Tian; Wang, Shouhong 2 2015 Quality issues in combustion LES. Zbl 1246.80008 Kempf, A. M.; Geurts, B. J.; Ma, T.; Pettit, M. W. A.; Stein, O. T. 2 2011 A nonlinear Schrödinger model for many-particle quantum systems. Zbl 1266.81160 Zhang, Qiang; Ma, Tian 2 2012 Bifurcation of nonlinear equations. II: Dynamic bifurcation. Zbl 1095.47028 Ma, Tian; Wang, Shouhong 2 2004 Structural evolution of the Taylor vortices. Zbl 0954.76018 Ma, Tian; Wang, Shouhong 2 2000 Global structure of 2-D incompressible flows. Zbl 1013.37049 Ma, Tian; Wang, Shouhong 2 2001 Spectral theory of differential operators and energy levels of subatomic particles. Zbl 1374.35273 Ma, Tian; Wang, Shouhong 2 2016 A bifurcation theorem of nongradient, weakly continuous maps and applications. Zbl 0753.47042 Ma, Tian; Yu, Qingyu 1 1988 Global existence of strong solutions to a class of fully nonlinear wave equations with strongly damped terms. Zbl 1254.35050 Pan, Zhigang; Luo, Hong; Ma, Tian 1 2012 Regularity of Keldys-Fichera boundary value problem for degenerate elliptic equations. Zbl 1202.35105 Li, Limei; Ma, Tian 1 2010 Dynamics of 2-D incompressible flows. Zbl 0957.37046 Ma, Tian; Wang, Shouhong 1 2000 Periodic structure of 2D Navier-Stokes equations. Zbl 1089.35044 Ma, Tian; Wang, Shouhong 1 2005 Theory of dark energy and dark matter. Zbl 1349.35373 Hernandez, Marco; Ma, Tian; Wang, Shouhong 1 2015 Local discontinuous Galerkin methods for the two-dimensional Camassa-Holm equation. Zbl 1407.65199 Ma, Tian; Xu, Yan 1 2018 Scale-dependent anisotropy, energy transfer and intermittency in bubble-laden turbulent flows. Zbl 1475.76104 Ma, Tian; Ott, Bernhard; Fröhlich, Jochen; Bragg, Andrew D. 3 2021 Progress in the second-moment closure for bubbly flow based on direct numerical simulation data. Zbl 1430.76455 Ma, Tian; Lucas, Dirk; Jakirlić, Suad; Fröhlich, Jochen 5 2020 Phase transition dynamics. 2nd revised and expanded edition. Zbl 1451.82003 Ma, Tian; Wang, Shouhong 16 2019 Predicting the damage on a target plate produced by hypervelocity impact using a decoupled finite particle method. Zbl 1404.74208 Zhang, Z. L.; Feng, D. L.; Ma, T.; Liu, M. B. 10 2019 Numerical study on high velocity impact welding using a modified SPH method. Zbl 1404.76221 Zhang, Z. L.; Ma, T.; Liu, M. B.; Feng, D. 6 2019 Local discontinuous Galerkin methods for the two-dimensional Camassa-Holm equation. Zbl 1407.65199 Ma, Tian; Xu, Yan 1 2018 Dynamic law of physical motion and potential-descending principle. Zbl 1399.82002 Ma, Tian; Wang, Shouhong 3 2017 Stretching and folding in finite time. Zbl 1391.76173 Ma, Tian; Ouellette, Nicholas T.; Bollt, Erik M. 6 2016 Spectral theory of differential operators and energy levels of subatomic particles. Zbl 1374.35273 Ma, Tian; Wang, Shouhong 2 2016 Tropical atmospheric circulations with humidity effects. Zbl 1371.86020 Hsia, Chun-Hsiung; Lin, Chang-Shou; Ma, Tian; Wang, Shouhong 14 2015 A predicable condition for boundary layer separation of 2-D incompressible fluid flows. Zbl 1304.35498 Luo, Hong; Wang, Quan; Ma, Tian 7 2015 Shape coherence and finite-time curvature evolution. Zbl 1317.37034 Ma, Tian; Bollt, Erik M. 6 2015 Boundary layer separation of 2-D incompressible Dirichlet flows. Zbl 1304.35508 Wang, Quan; Luo, Hong; Ma, Tian 6 2015 Unified field equations coupling four forces and principle of interaction dynamics. Zbl 1303.81241 Ma, Tian; Wang, Shouhong 2 2015 Theory of dark energy and dark matter. Zbl 1349.35373 Hernandez, Marco; Ma, Tian; Wang, Shouhong 1 2015 Phase transition dynamics. Zbl 1285.82004 Ma, Tian; Wang, Shouhong 65 2014 Differential geometry perspective of shape coherence and curvature evolution by finite-time nonhyperbolic splitting. Zbl 1329.37031 Ma, Tian; Bollt, Erik M. 25 2014 Dynamic transition and pattern formation for chemotactic systems. Zbl 1327.92010 Ma, Tian; Wang, Shouhong 10 2014 Gravitational field equations and theory of dark matter and dark energy. Zbl 1305.83050 Ma, Tian; Wang, Shouhong 5 2014 A posteriori testing of the flame surface density transport equation for LES. Zbl 1516.76044 Ma, T.; Stein, O. T.; Chakraborty, N.; Kempf, A. M. 4 2014 Unified field theory and principle of representation invariance. Zbl 1298.83121 Ma, Tian; Wang, Shouhong 2 2014 Astrophysical dynamics and cosmology. Zbl 1324.85001 Ma, Tian; Wang, Shouhong 2 2014 Relatively coherent sets as a hierarchical partition method. Zbl 1275.37007 Ma, Tian; Bollt, Erik M. 11 2013 A posteriori testing of algebraic flame surface density models for LES. Zbl 1516.80017 Ma, T.; Stein, O. T.; Chakraborty, N.; Kempf, A. M. 7 2013 Existence of solutions to strongly damped quasilinear wave equations. Zbl 1348.35144 Luo, Hong; Li, Li-Mei; Ma, Tian 4 2012 Global solutions to a class of nonlinear damped wave operator equations. Zbl 1275.35149 Pan, Zhigang; Pu, Zhilin; Ma, Tian 3 2012 A nonlinear Schrödinger model for many-particle quantum systems. Zbl 1266.81160 Zhang, Qiang; Ma, Tian 2 2012 Global existence of strong solutions to a class of fully nonlinear wave equations with strongly damped terms. Zbl 1254.35050 Pan, Zhigang; Luo, Hong; Ma, Tian 1 2012 Phase transitions for the Brusselator model. Zbl 1315.82019 Ma, Tian; Wang, Shouhong 8 2011 Phase transitions for Belousov-Zhabotinsky reactions. Zbl 1219.35332 Ma, Tian; Wang, Shouhong 7 2011 Hopf bifurcation for two-dimensional doubly diffusive convection. Zbl 1243.35016 Bona, Jerry L.; Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong 4 2011 Quality issues in combustion LES. Zbl 1246.80008 Kempf, A. M.; Geurts, B. J.; Ma, T.; Pettit, M. W. A.; Stein, O. T. 2 2011 Global attractor of a modified Swift-Hohenberg equation in \(H^k\) spaces. Zbl 1180.35126 Song, Lingyu; Zhang, Yindi; Ma, Tian 36 2010 Dynamic transition theory for thermohaline circulation. Zbl 1190.37084 Ma, Tian; Wang, Shouhong 23 2010 Rotating Boussinesq equations: dynamic stability and transitions. Zbl 1191.86014 Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong 14 2010 Tropical atmospheric circulations: dynamic stability and transitions. Zbl 1186.86008 Ma, Tian; Wang, Shouhong 3 2010 Dynamic transition and pattern formation in Taylor problem. Zbl 1205.35229 Ma, Tian; Wang, Shouhong 2 2010 Regularity of Keldys-Fichera boundary value problem for degenerate elliptic equations. Zbl 1202.35105 Li, Limei; Ma, Tian 1 2010 Cahn-Hilliard equations and phase transition dynamics for binary systems. Zbl 1169.82004 Ma, Tian; Wang, Shouhong 21 2009 Global attractor of the Cahn-Hilliard equation in \(H^k\) spaces. Zbl 1173.35028 Song, Lingyu; Zhang, Yindi; Ma, Tian 20 2009 Boundary-layer and interior separations in the Taylor-Couette-Poiseuille flow. Zbl 1202.76049 Ma, Tian; Wang, Shouhong 8 2009 The existence of global attractors for 2D Navier-Stokes equations in \(H^k\) spaces. Zbl 1179.35068 Zhang, Yin Di; Song, Ling Yu; Ma, Tian 3 2009 Bifurcation and stability of two-dimensional double-diffusive convection. Zbl 1139.37048 Hsia, Chung-Hsiung; Ma, Tian; Wang, Shouhong 14 2008 Attractor bifurcation of three-dimensional double-diffusive convection. Zbl 1146.35313 Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong 11 2008 Dynamic model and phase transitions for liquid helium. Zbl 1152.81547 Ma, Tian; Wang, Shouhong 7 2008 Dynamic phase transitions for ferromagnetic systems. Zbl 1152.81546 Ma, Tian; Wang, Shouhong 6 2008 Dynamic phase transition theory in PVT systems. Zbl 1211.82019 Ma, Tian; Wang, Shouhong 5 2008 Principle of exchange of stabilities and dynamic transitions. Zbl 1165.47046 Ma, Tian; Wang, Shouhong 5 2008 Rayleigh-Bénard convection: dynamics and structure in the physical space. Zbl 1133.35426 Ma, Tian; Wang, Shouhong 45 2007 Stability and bifurcation of nonlinear evolution equations. Zbl 1298.35003 Ma, Tian; Wang, Shouhong 42 2007 Stratified rotating Boussinesq equations in geophysical fluid dynamics: dynamic bifurcation and periodic solutions. Zbl 1144.81356 Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong 3 2007 Stability and bifurcation of the Taylor problem. Zbl 1089.76019 Ma, Tian; Wang, Shouhong 16 2006 Bifurcation theory and applications. Zbl 1085.35001 Ma, Tian; Wang, Shouhong 108 2005 Geometric theory of incompressible flows with applications to fluid dynamics. Zbl 1099.76002 Ma, Tian; Wang, Shouhong 38 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 17 2005 Dynamic bifurcation of nonlinear evolution equations. Zbl 1193.37105 Ma, Tian; Wang, Shouhong 14 2005 Bifurcation and stability of superconductivity. Zbl 1111.58017 Ma, Tian; Wang, Shouhong 6 2005 Periodic structure of 2D Navier-Stokes equations. Zbl 1089.35044 Ma, Tian; Wang, Shouhong 1 2005 Dynamic bifurcation and stability in the Rayleigh-Bénard convection. Zbl 1133.76315 Ma, Tian; Wang, Shouhong 33 2004 Interior structural bifurcation and separation of 2D incompressible flows. Zbl 1071.37032 Ma, Tian; Wang, Shouhong 9 2004 Boundary layer separation and structural bifurcation for 2-D incompressible fluid flows. Zbl 1050.76017 Ma, Tian; Wang, Shouhong 9 2004 Dynamic bifurcation of the Ginzburg-Landau equation. Zbl 1058.35031 Ma, Tian; Park, Jungho; Wang, Shouhong 5 2004 Bifurcation of nonlinear equations. I: Steady state bifurcation. Zbl 1095.47027 Ma, Tian; Wang, Shouhong 4 2004 Asymptotic structure for solutions of the Navier-Stokes equations. Zbl 1063.35129 Ma, Tian; Wang, Shouhong 2 2004 Bifurcation of nonlinear equations. II: Dynamic bifurcation. Zbl 1095.47028 Ma, Tian; Wang, Shouhong 2 2004 Attractor bifurcation theory and its applications to Rayleigh-Bénard convection. Zbl 1210.37056 Ma, Tian; Wang, Shouhong 16 2003 Structural classification and stability of divergence-free vector fields. Zbl 1012.57042 Ma, Tian; Wang, Shouhong 17 2002 Topology of 2-D incompressible flows of applications to geophysical fluid dynamics. Zbl 1185.76610 Ma, Tian; Wang, Shouhong 3 2002 Structural bifurcation of 2-D incompressible flows. Zbl 1001.37038 Ghil, Michael; Ma, Tian; Wang, Shouhong 15 2001 Structure of 2D incompressible flows with the Dirichlet boundary conditions. Zbl 1051.76013 Ma, Tian; Wang, Shouhong 11 2001 A generalized Poincaré-Hopf index formula and its applications to 2-D incompressible flows. Zbl 0999.58005 Ma, Tian; Wang, Shouhong 6 2001 Hurst exponent analysis of financial time series. Zbl 1010.91084 Sang, Hongwei; Ma, Tian; Wang, Shuozhong 3 2001 Global structure of 2-D incompressible flows. Zbl 1013.37049 Ma, Tian; Wang, Shouhong 2 2001 Structural evolution of the Taylor vortices. Zbl 0954.76018 Ma, Tian; Wang, Shouhong 2 2000 Dynamics of 2-D incompressible flows. Zbl 0957.37046 Ma, Tian; Wang, Shouhong 1 2000 The geometry of the stream lines of steady states of the Navier-Stokes equations. Zbl 0947.35110 Ma, Tian; Wang, Shouhong 8 1999 Dynamics of incompressible vector fields. Zbl 0989.37012 Ma, Tian; Wang, Shouhong 5 1999 The Keldysh-Fichera boundary value problems for degenerate quasilinear elliptic equations of second order. Zbl 0731.35044 Ma, Tian; Yu, Qingyu 5 1989 A bifurcation theorem of nongradient, weakly continuous maps and applications. Zbl 0753.47042 Ma, Tian; Yu, Qingyu 1 1988 all cited Publications top 5 cited Publications all top 5 Cited by 471 Authors 36 Ma, Tian 34 Wang, Shouhong 27 Wang, Quan 20 Sengul, Mustafa Taylan 14 Luo, Hong 11 Liu, Ruikuan 10 Pan, Zhigang 9 Choi, Yuncherl 9 Yan, Dongming 8 Chekroun, Mickaël D. 8 Li, Zhaoxiang 8 Liu, Honghu 7 Han, Daozhi 7 Mao, Yiqiu 6 Balasuriya, Sanjeeva 6 Bollt, Erik M. 6 Chen, Zhimin 6 Han, Jongmin 6 Hsia, Chun-Hsiung 6 Li, Limei 6 Ma, Liangliang 6 Yang, Jiayan 6 Yokoyama, Tomoo 5 Deliceoğlu, Ali 5 Froyland, Gary 5 Ha, Taeyoung 5 Haller, George 5 Li, Chunqiu 5 Xing, Chao 5 Zhao, Xiaopeng 4 Dijkstra, Henk A. 4 Guo, Ben-Yu 4 Kieu, Chanh 4 Li, Desheng 4 Li, Junyan 4 Li, Liang 4 Liu, Changchun 4 Ong, Kiah Wah 4 Park, Jungho 4 Price, W. Geraint 4 Song, Lingyu 4 Tiryakioglu, Burhan 4 Wang, Jintao 4 Wijaya, Karunia Putra 4 Wu, Fan 4 Wu, Ruili 4 Yang, Zhonghua 4 Zhang, Dongpei 4 Zhang, Qiang 4 Zhang, Yindi 4 Zhu, Hailong 3 Bozkurt, Deniz 3 Duan, Ning 3 Gao, Hongjun 3 Guo, Chunxiao 3 Guo, Yanfeng 3 Gürcan, Fuat 3 Jia, Lan 3 Kagei, Yoshiyuki 3 Karrasch, Daniel 3 Kumar, Atendra 3 Lee, Doo Seok 3 McWilliams, James C. 3 Miranville, Alain M. 3 Ouellette, Nicholas T. 3 Páez Chávez, Joseph Nikolai 3 Pan, Jiaojiao 3 Ray, Rajendra K. 3 Sakajo, Takashi 3 Shen, Jie 3 Wang, Huichao 3 Wang, Zhongqing 3 Wei, Junqiang 3 Xiao, Qingkun 3 Ye, Zhuan 3 Yoneda, Tsuyoshi 3 Zhang, Lei 3 Zhu, Chengcheng 3 Zhu, Jiang 2 Bai, Jinlong 2 Bragg, Andrew D. 2 Camassa, Roberto 2 Cao, Wanrong 2 Caraballo Garrido, Tomás 2 Chen, Fei 2 Czaja, Radosław 2 Duan, Jinqiao 2 Fan, Yanlong 2 Farazmand, Mohammad 2 Fröhlich, Jochen 2 Götz, Thomas 2 Guo, Boling 2 Guo, Yu 2 Hadjighasem, Alireza 2 Hernandez, Marco 2 Hernandez, Marco 2 Hirano, Norimichi 2 Hoang, Luan Thach 2 Hou, Zhibo 2 Hu, Biyan ...and 371 more Authors all top 5 Cited in 133 Serials 22 Discrete and Continuous Dynamical Systems. Series B 18 Mathematical Methods in the Applied Sciences 16 Physica D 15 Applied Mathematics and Computation 15 Chaos 15 Communications in Nonlinear Science and Numerical Simulation 13 Journal of Mathematical Physics 12 Journal of Fluid Mechanics 12 Journal of Mathematical Fluid Mechanics 11 Journal of Mathematical Analysis and Applications 10 Boundary Value Problems 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Communications on Pure and Applied Analysis 7 Applicable Analysis 7 Journal of Differential Equations 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Discrete and Continuous Dynamical Systems 6 Abstract and Applied Analysis 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Journal of Scientific Computing 4 Computers & Mathematics with Applications 4 Chaos, Solitons and Fractals 4 Journal of Computational and Applied Mathematics 4 Nonlinear Analysis. Real World Applications 3 Archive for Rational Mechanics and Analysis 3 Communications on Pure and Applied Mathematics 3 Journal of Computational Physics 3 Nonlinearity 3 Proceedings of the American Mathematical Society 3 Acta Mathematicae Applicatae Sinica. English Series 3 Journal of Nonlinear Science 3 Electronic Journal of Differential Equations (EJDE) 3 Journal of Nonlinear Mathematical Physics 3 Journal of Applied Mathematics 3 SIAM Journal on Applied Dynamical Systems 3 Advances in Difference Equations 3 Mathematical Biosciences and Engineering 3 Discrete and Continuous Dynamical Systems. Series S 3 AIMS Mathematics 2 International Journal of Modern Physics B 2 Communications in Mathematical Physics 2 Physics Letters. A 2 Indiana University Mathematics Journal 2 Topology and its Applications 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Applied Numerical Mathematics 2 Applied Mathematics Letters 2 Applied Mathematical Modelling 2 SIAM Journal on Applied Mathematics 2 Applied Mathematics. Series B (English Edition) 2 Physics of Fluids 2 Computational and Applied Mathematics 2 Turkish Journal of Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Nonlinear Dynamics 2 Journal of Inequalities and Applications 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Qualitative Theory of Dynamical Systems 2 Nonlinear Analysis. Modelling and Control 2 Mathematical Modelling and Analysis 2 Communications in Computational Physics 2 Discrete Mathematics, Algorithms and Applications 2 Journal of Applied Analysis and Computation 2 Korean Journal of Mathematics 1 Computers and Fluids 1 Fluid Dynamics 1 Geophysical and Astrophysical Fluid Dynamics 1 General Relativity and Gravitation 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Statistical Physics 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Applied Mathematics and Optimization 1 Illinois Journal of Mathematics 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Results in Mathematics 1 Software. Practice & Experience 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics and Mechanics. (English Edition) 1 Numerical Methods for Partial Differential Equations 1 Asymptotic Analysis 1 Differential and Integral Equations 1 Applications of Mathematics 1 Numerical Algorithms 1 Computational Mathematics and Mathematical Physics 1 Communications in Partial Differential Equations 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Advances in Differential Equations 1 Complexity 1 Journal of Applied Mechanics and Technical Physics 1 Journal of Shanghai University 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society ...and 33 more Serials all top 5 Cited in 41 Fields 251 Partial differential equations (35-XX) 164 Fluid mechanics (76-XX) 131 Dynamical systems and ergodic theory (37-XX) 42 Numerical analysis (65-XX) 30 Biology and other natural sciences (92-XX) 28 Ordinary differential equations (34-XX) 24 Geophysics (86-XX) 21 Statistical mechanics, structure of matter (82-XX) 16 Probability theory and stochastic processes (60-XX) 13 Operator theory (47-XX) 13 Classical thermodynamics, heat transfer (80-XX) 8 Astronomy and astrophysics (85-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Statistics (62-XX) 6 Mechanics of deformable solids (74-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Manifolds and cell complexes (57-XX) 5 Mechanics of particles and systems (70-XX) 5 Quantum theory (81-XX) 4 Differential geometry (53-XX) 4 Relativity and gravitational theory (83-XX) 3 General topology (54-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year