Edit Profile (opens in new tab) Chen, Zhimin Compute Distance To: Compute Author ID: chen.zhimin Published as: Chen, Zhi-Min; Chen, Zhimin; Chen, Zhi-min; Chen, Zhi Min; Chen, ZhiMin; Chen, Z.-M. more...less Documents Indexed: 114 Publications since 1990 Co-Authors: 56 Co-Authors with 82 Joint Publications 1,863 Co-Co-Authors all top 5 Co-Authors 28 single-authored 20 Dong, Boqing 19 Price, W. Geraint 9 Zhai, Xiaoping 6 Chen, Jianwen 4 Bo, Yuming 4 Liu, Xiuxiang 3 Luo, Zhiqiang 2 Cao, Zhenxin 2 Chen, Peng 2 Li, Jin 2 Lin, Ying 2 Liu, Kaihui 2 Miyakawa, Tetsuro 2 Schaumont, Patrick R. 2 Tan, Wen 2 Tian, Mengchu 2 Wang, Shouhong 2 Wang, Xianbin 2 Wu, Panlong 2 Xiong, Xiangming 1 Chen, Guiyun 1 Djidjeli, K. 1 Gala, Sadek 1 Gao, Liang 1 Ghil, Michael 1 Hitchcock, David B. 1 Hussanan, Abid 1 Jia, Yan 1 Kagei, Yoshiyuki 1 Kang, Deyong 1 Kieu, Chanh 1 Liu, Bing 1 Liu, Qiang 1 Lou, Yijun 1 Mao, Yiqiu 1 Qiu, Haobo 1 Qu, Yuanxin 1 Shi, Wujie 1 Simonnet, Eric 1 Sinha, Ambuj 1 Sun, Duo 1 Wang, Hua 1 Wang, Quan 1 Wang, Tianxiong 1 Wilson, Philip A. 1 Xi, Zhengdong 1 Xie, Zhongzhong 1 Xin, Zhouping 1 Xu, Min 1 Yang, Yujun 1 Yao, WeiGang 1 Ye, Hailong 1 Yin, Mingfeng 1 Yue, Cong 1 Zeng, Liling 1 Zhao, Gaopeng 1 Zhao, Longbiao 1 Zhao, Minya 1 Zhao, Yongzhi all top 5 Serials 16 Journal of Mathematical Analysis and Applications 6 Nonlinearity 5 Applied Mathematics and Computation 5 Journal of Mathematical Fluid Mechanics 4 Communications in Mathematical Physics 4 Chaos, Solitons and Fractals 3 Wave Motion 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Discrete and Continuous Dynamical Systems. Series B 2 Acta Mechanica 2 Journal of Engineering Mathematics 2 IEEE Transactions on Computers 2 Pacific Journal of Mathematics 2 Applied Mathematics and Mechanics. (English Edition) 2 IEEE Transactions on Signal Processing 2 Advances in Mathematical Sciences and Applications 2 Journal of Nonlinear Science 2 Discrete and Continuous Dynamical Systems 2 Journal of Yangzhou University. Natural Science Edition 1 Applicable Analysis 1 International Journal of Engineering Science 1 Israel Journal of Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 Acta Mathematica Sinica 1 Journal of Differential Equations 1 Acta Applicandae Mathematicae 1 Acta Automatica Sinica 1 Applied Mathematics Letters 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Computational Statistics and Data Analysis 1 Journal of Partial Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Huazhong University of Science and Technology 1 Science in China. Series E 1 Mathematical Problems in Engineering 1 Journal of Applied Mechanics and Technical Physics 1 Chaos 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Communications in Mathematical Sciences 1 Control and Decision 1 Advances in Difference Equations 1 Journal of Guangzhou University. Natural Science Edition 1 Applications and Applied Mathematics 1 Acta Scientiarum Naturalium Universitatis Nankaiensis 1 Asian Journal of Control 1 Journal of Theoretical Biology 1 Nonlinear Analysis. Theory, Methods & Applications 1 AMM. Applied Mathematics and Mechanics. (English Edition) all top 5 Fields 70 Fluid mechanics (76-XX) 69 Partial differential equations (35-XX) 20 Dynamical systems and ergodic theory (37-XX) 9 Geophysics (86-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Numerical analysis (65-XX) 5 Biology and other natural sciences (92-XX) 4 Computer science (68-XX) 4 Mechanics of deformable solids (74-XX) 4 Information and communication theory, circuits (94-XX) 3 Ordinary differential equations (34-XX) 3 Statistics (62-XX) 2 Group theory and generalizations (20-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-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 76 Publications have been cited 580 times in 350 Documents Cited by ▼ Year ▼ Asymptotic profiles of solutions to the 2D viscous incompressible micropolar fluid flows. Zbl 1170.35336Dong, Bo-Qing; Chen, Zhi-Min 45 2009 Regularity criteria of weak solutions to the three-dimensional micropolar flows. Zbl 1283.76016Dong, Boqing; Chen, Zhimin 37 2009 Pressure regularity criteria of the three-dimensional micropolar fluid flows. Zbl 1219.35189Dong, Bo-Qing; Jia, Yan; Chen, Zhi-Min 23 2011 Asymptotic stability of the critical and super-critical dissipative quasi-geostrophic equation. Zbl 1109.76063Dong, Boqing; Chen, Zhi-Min 22 2006 Global attractors of two-dimensional micropolar fluid flows in some unbounded domains. Zbl 1103.76008Dong, Boqing; Chen, Zhimin 20 2006 Decay estimates of linearized micropolar fluid flows in \(\mathbb{R}^{3}\) space with applications to \(L_{3}\)-strong solutions. Zbl 1213.76012Chen, Zhi-Min; Price, W. G. 20 2006 Uniform attractors of non-homogeneous micropolar fluid flows in non-smooth domains. Zbl 1155.37043Chen, Jianwen; Chen, Zhi-Min; Dong, Bo-Qing 20 2007 A remark on regularity criterion for the dissipative quasi-geostrophic equations. Zbl 1154.76339Dong, Bo-Qing; Chen, Zhi-Min 18 2007 Decay properties of weak solutions to a perturbed Navier-Stokes system in \(\mathbb{R}^n\). Zbl 0893.35092Chen, Zhimin; Miyakawa, Tetsuro 17 1997 Regularity criterion of weak solutions to the 3D Navier-Stokes equations via two velocity components. Zbl 1132.35432Dong, Bo-Qing; Chen, Zhi-Min 16 2008 Existence of \(H^{2}\)-global attractors of two-dimensional micropolar fluid flows. Zbl 1098.35035Chen, Jianwen; Chen, Zhi-Min; Dong, Bo-Qing 16 2006 Hopf bifurcation in quasi-geostrophic channel flow. Zbl 1126.76327Chen, Zhi-Min; Ghil, Michael; Simonnet, Eric; Wang, Shouhong 15 2003 Homogeneity criterion for the Navier-Stokes equations in the whole spaces. Zbl 0982.35081Chen, Zhi Min; Xin, Zhouping 15 2001 On upper and lower bounds of higher order derivatives for solutions to the 2D micropolar fluid equations. Zbl 1158.35074Dong, Bo-Qing; Chen, Zhi-Min 15 2007 Solutions of the stationary and nonstationary Navier-Stokes equations in exterior domains. Zbl 0787.35062Chen, Zhimin 13 1993 On the regularity criteria of the 3D Navier-Stokes equations in critical spaces. Zbl 1240.35382Dong, Boqing; Gala, Sadek; Chen, Zhimin 13 2011 On the relation between Rayleigh-Bénard convection and Lorenz system. Zbl 1084.76026Chen, Zhi-Min; Price, W. G. 11 2006 Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations. Zbl 1022.35036Chen, Zhi-Min; Price, W. G. 11 2001 Remarks on the time dependent periodic Navier-Stokes flows on a two-dimensional torus. Zbl 0969.76016Chen, Zhimin; Price, W. Geraint 10 1999 A sharp decay result on strong solutions of the Navier-Stokes equations in the whole space. Zbl 0741.35056Chen, Zhi-Min 10 1991 Time decay rates of non-Newtonian flows in \(\mathbf {R}^{n}_{+}\). Zbl 1102.76014Dong, Bo-Qing; Chen, Zhi-Min 10 2006 Asymptotic stability of non-Newtonian flows with large perturbation in \(\mathbb{R}^{2}\). Zbl 1138.35380Dong, Bo-Qing; Chen, Zhi-Min 10 2006 Blow-up rate estimates for weak solutions of the Navier-Stokes equations. Zbl 1009.76015Chen, Zhi-Min; Price, W. G. 10 2001 On the weak-strong uniqueness of the dissipative surface quasi-geostrophic equation. Zbl 1241.35158Dong, Bo-Qing; Chen, Zhi-Min 9 2012 Time dependent periodic Navier-Stokes flows on a two-dimensional torus. Zbl 0853.76015Chen, Zhimin; Price, W. G. 9 1996 Pullback attractors of non-autonomous micropolar fluid flows. Zbl 1152.37030Chen, Jianwen; Dong, Bo-Qing; Chen, Zhi-Min 8 2007 Harmonic function expansion for translating Green functions and dissipative free-surface waves. Zbl 1360.74073Chen, Zhi-Min 8 2013 Transition to chaos in a fluid motion system. Zbl 1074.76011Chen, Zhi-Min; Price, W. G. 8 2005 Computing Lyapunov exponents based on the solution expression of the variational system. Zbl 1090.65142Chen, Z.-M.; Djidjeli, K.; Price, W. G. 7 2006 Bifurcations of a steady-state solution to the two-dimensional Navier-Stokes equations. Zbl 0943.35061Chen, Zhi-Min 7 1999 Global well-posedness for the MHD-Boussinesq system with the temperature-dependent viscosity. Zbl 1406.35308Zhai, Xiaoping; Chen, Zhi-Min 6 2018 Global large solutions and incompressible limit for the compressible Navier-Stokes equations. Zbl 1416.35181Chen, Zhi-Min; Zhai, Xiaoping 6 2019 Regular wave integral approach to numerical simulation of radiation and diffraction of surface waves. Zbl 1454.76019Chen, Zhi-Min 6 2015 A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors. Zbl 0783.58044Chen, Zhi-Min 6 1993 Stability and instability analyses of the dissipative quasi-geostrophic equation. Zbl 1133.76024Chen, Zhi-Min; Price, W. G. 6 2008 Chaotic behavior of a Galerkin model of a two-dimensional flow. Zbl 1080.37093Chen, Zhi-Min; Price, W. G. 5 2004 Global well-posedness for 2-D Boussinesq system with the temperature-dependent viscosity and supercritical dissipation. Zbl 1414.35153Zhai, Xiaoping; Dong, Bo-Qing; Chen, Zhi-Min 5 2019 Remarks on stability of purely conductive steady states to the exterior Boussinesq problem. Zbl 0777.35055Chen, Zhimin; Kagei, Yoshiyuki; Miyakawa, Tetsuro 5 1992 Straightforward approximation of the translating and pulsating free surface Green function. Zbl 1302.31010Chen, Zhi-Min 5 2014 Onset of chaotic Kolmogorov flows resulting from interacting oscillatory modes. Zbl 1127.76024Chen, Zhi-Min; Price, W. G. 4 2005 Long-time behavior of Navier-Stokes flow on a two-dimensional torus excited by an external sinusoidal force. Zbl 0952.35501Chen, Zhi-Min; Price, W. G. 4 1997 Supercritical regimes of liquid-metal fluid motions in electromagnetic fields: Wall-bounded flows. Zbl 1015.76030Chen, Zhi-Min; Price, W. G. 4 2002 Stochastic non-Newtonian fluid motion equations of a nonlinear bipolar viscous fluid. Zbl 1200.76009Chen, Jianwen; Chen, Zhi-Min 4 2010 On the stability and bifurcation of the non-rotating Boussinesq equation with the Kolmogorov forcing at a low Péclet number. Zbl 1444.76058Mao, Yiqiu; Chen, Zhimin; Kieu, Chanh; Wang, Quan 4 2020 Secondary fluid flows driven electromagnetically in a two-dimensional extended duct. Zbl 1139.76316Chen, Zhi-Min; Price, W. G. 3 2005 Regular wave integral approach to the prediction of hydrodynamic performance of submerged spheroid. Zbl 1456.76016Chen, Zhi-Min 3 2014 Global well-posedness for \(n\)-dimensional Boussinesq system with viscosity depending on temperature. Zbl 1408.35133Zhai, Xiaoping; Chen, Zhi-Min 3 2018 Equilibrium states of the Charney-DeVore quasi-geostrophic equation in mid-latitude atmosphere. Zbl 1351.86017Chen, Zhi-Min; Xiong, Xiangming 3 2016 \(L^ n\) solutions of the stationary and nonstationary Navier-Stokes equations in \(\mathbb{R}^ n\). Zbl 0787.35061Chen, Zhimin 3 1993 Remarks on upper and lower bounds of solutions to the Navier–Stokes equations in \(\mathbb R^{2}\). Zbl 1103.76016Dong, Boqing; Chen, Zhimin 3 2006 Steady-state bifurcations of the three-dimensional Kolmogorov problem. Zbl 0947.35105Chen, Zhi-Min; Wang, Shouhong 3 2000 Steady-state bifurcation analysis of a strong nonlinear atmospheric vorticity equation. Zbl 1319.35271Chen, Zhi-Min 3 2015 Bifurcating steady-state solutions of the dissipative quasi-geostrophic equation in Lagrangian formulation. Zbl 1353.35231Chen, Zhi-Min 2 2016 Long-time behavior for three dimensional compressible viscousand heat-conductive gases. Zbl 1435.76063Zhai, Xiaoping; Chen, Zhi-Min 2 2020 A conjecture on the least stable mode for the energy stability of plane parallel flows. Zbl 1430.76172Xiong, Xiangming; Chen, Zhi-Min 2 2019 Long time small solutions to nonlinear parabolic equations. Zbl 0733.35061Chen, Zhimin 2 1990 Commutator estimate in terms of partial derivatives of solutions for the dissipative quasi-geostrophic equation. Zbl 1346.35028Chen, Jianwen; Chen, Zhi-Min 2 2016 Large-time regular solutions to the modified quasi-geostrophic equation in Besov spaces. Zbl 1420.35264Tan, Wen; Dong, Bo-Qing; Chen, Zhi-Min 2 2019 Bifurcating periodic solutions of wind-driven circulation equations. Zbl 1063.35028Chen, Zhi-Min; Price, W. G. 2 2005 Hopf bifurcation of the three-dimensional Navier-Stokes equations. Zbl 0938.35115Chen, Zhi-Min 2 1999 Steady-state bifurcation of a non-parallel flow involving energy dissipation over a Hartmann boundary layer. Zbl 1476.35028Chen, Zhi-Min 2 2021 Global existence of solutions of the time fractional Cahn-Hilliard equation in \(\mathbb{R}^3\). Zbl 1470.35420Ye, Hailong; Liu, Qiang; Chen, Zhi-Min 2 2021 A remark on flow invariance for semilinear parabolic equations. Zbl 0774.35033Chen, Zhimin 1 1991 Firefly algorithm intelligence optimized particle filter. Zbl 1363.68173Tian, Mengchu; Bo, Yuming; Chen, Zhimin; Wu, Panlong; Zhao, Gaopeng 1 2016 Smoothing dissimilarities to cluster binary data. Zbl 1452.62448Hitchcock, David B.; Chen, Zhimin 1 2008 Stability of oscillatory gravity wave trains with energy dissipation and Benjamin-Feir instability. Zbl 1253.35117Chen, Zhi-Min; Wilson, Philip A. 1 2012 Low-index equilibrium and multiple period-doubling cascades to chaos of atmospheric flow in beta-plane channel. Zbl 1345.34083Chen, Zhi-Min 1 2016 Sloshing simulation of standing wave with time-independent finite difference method for Euler equations. Zbl 1384.76012Luo, Zhiqiang; Chen, Zhimin 1 2011 Global well-posedness for the density-dependent incompressible flow of liquid crystals. Zbl 1405.35172Zhai, Xiaoping; Chen, Zhi-Min 1 2018 Using virtual secure circuit to protect embedded software from side-channel attacks. Zbl 1365.94668Chen, Zhimin; Sinha, Ambuj; Schaumont, Patrick 1 2013 \(L^ r\) stability of viscous incompressible fluid motions in unbounded domains. Zbl 0808.76017Chen, Zhimin 1 1994 Flow field analysis of a 3D wing with flap based on N-S solution. Zbl 0989.76055Zhu, Z. Q.; Wu, Z. C.; Li, J.; Chen, Z. M. 1 2001 Global solution to the \(n\)-dimensional non-resistive MHD system with damping in magnetic field. Zbl 1390.35289Zhai, Xiao-Ping; Chen, Zhi-Min 1 2018 Modelling epidemics with fractional-dose vaccination in response to limited vaccine supply. Zbl 1429.92097Chen, Zhimin; Liu, Kaihui; Liu, Xiuxiang; Lou, Yijun 1 2020 New formulation of the finite depth free surface Green function. Zbl 1454.76020Chen, Zhi-Min 1 2020 Secondary flows from a linear array of vortices perturbed principally by a Fourier mode. Zbl 1491.35312Chen, Zhi-Min 1 2022 Secondary flows from a linear array of vortices perturbed principally by a Fourier mode. Zbl 1491.35312Chen, Zhi-Min 1 2022 Steady-state bifurcation of a non-parallel flow involving energy dissipation over a Hartmann boundary layer. Zbl 1476.35028Chen, Zhi-Min 2 2021 Global existence of solutions of the time fractional Cahn-Hilliard equation in \(\mathbb{R}^3\). Zbl 1470.35420Ye, Hailong; Liu, Qiang; Chen, Zhi-Min 2 2021 On the stability and bifurcation of the non-rotating Boussinesq equation with the Kolmogorov forcing at a low Péclet number. Zbl 1444.76058Mao, Yiqiu; Chen, Zhimin; Kieu, Chanh; Wang, Quan 4 2020 Long-time behavior for three dimensional compressible viscousand heat-conductive gases. Zbl 1435.76063Zhai, Xiaoping; Chen, Zhi-Min 2 2020 Modelling epidemics with fractional-dose vaccination in response to limited vaccine supply. Zbl 1429.92097Chen, Zhimin; Liu, Kaihui; Liu, Xiuxiang; Lou, Yijun 1 2020 New formulation of the finite depth free surface Green function. Zbl 1454.76020Chen, Zhi-Min 1 2020 Global large solutions and incompressible limit for the compressible Navier-Stokes equations. Zbl 1416.35181Chen, Zhi-Min; Zhai, Xiaoping 6 2019 Global well-posedness for 2-D Boussinesq system with the temperature-dependent viscosity and supercritical dissipation. Zbl 1414.35153Zhai, Xiaoping; Dong, Bo-Qing; Chen, Zhi-Min 5 2019 A conjecture on the least stable mode for the energy stability of plane parallel flows. Zbl 1430.76172Xiong, Xiangming; Chen, Zhi-Min 2 2019 Large-time regular solutions to the modified quasi-geostrophic equation in Besov spaces. Zbl 1420.35264Tan, Wen; Dong, Bo-Qing; Chen, Zhi-Min 2 2019 Global well-posedness for the MHD-Boussinesq system with the temperature-dependent viscosity. Zbl 1406.35308Zhai, Xiaoping; Chen, Zhi-Min 6 2018 Global well-posedness for \(n\)-dimensional Boussinesq system with viscosity depending on temperature. Zbl 1408.35133Zhai, Xiaoping; Chen, Zhi-Min 3 2018 Global well-posedness for the density-dependent incompressible flow of liquid crystals. Zbl 1405.35172Zhai, Xiaoping; Chen, Zhi-Min 1 2018 Global solution to the \(n\)-dimensional non-resistive MHD system with damping in magnetic field. Zbl 1390.35289Zhai, Xiao-Ping; Chen, Zhi-Min 1 2018 Equilibrium states of the Charney-DeVore quasi-geostrophic equation in mid-latitude atmosphere. Zbl 1351.86017Chen, Zhi-Min; Xiong, Xiangming 3 2016 Bifurcating steady-state solutions of the dissipative quasi-geostrophic equation in Lagrangian formulation. Zbl 1353.35231Chen, Zhi-Min 2 2016 Commutator estimate in terms of partial derivatives of solutions for the dissipative quasi-geostrophic equation. Zbl 1346.35028Chen, Jianwen; Chen, Zhi-Min 2 2016 Firefly algorithm intelligence optimized particle filter. Zbl 1363.68173Tian, Mengchu; Bo, Yuming; Chen, Zhimin; Wu, Panlong; Zhao, Gaopeng 1 2016 Low-index equilibrium and multiple period-doubling cascades to chaos of atmospheric flow in beta-plane channel. Zbl 1345.34083Chen, Zhi-Min 1 2016 Regular wave integral approach to numerical simulation of radiation and diffraction of surface waves. Zbl 1454.76019Chen, Zhi-Min 6 2015 Steady-state bifurcation analysis of a strong nonlinear atmospheric vorticity equation. Zbl 1319.35271Chen, Zhi-Min 3 2015 Straightforward approximation of the translating and pulsating free surface Green function. Zbl 1302.31010Chen, Zhi-Min 5 2014 Regular wave integral approach to the prediction of hydrodynamic performance of submerged spheroid. Zbl 1456.76016Chen, Zhi-Min 3 2014 Harmonic function expansion for translating Green functions and dissipative free-surface waves. Zbl 1360.74073Chen, Zhi-Min 8 2013 Using virtual secure circuit to protect embedded software from side-channel attacks. Zbl 1365.94668Chen, Zhimin; Sinha, Ambuj; Schaumont, Patrick 1 2013 On the weak-strong uniqueness of the dissipative surface quasi-geostrophic equation. Zbl 1241.35158Dong, Bo-Qing; Chen, Zhi-Min 9 2012 Stability of oscillatory gravity wave trains with energy dissipation and Benjamin-Feir instability. Zbl 1253.35117Chen, Zhi-Min; Wilson, Philip A. 1 2012 Pressure regularity criteria of the three-dimensional micropolar fluid flows. Zbl 1219.35189Dong, Bo-Qing; Jia, Yan; Chen, Zhi-Min 23 2011 On the regularity criteria of the 3D Navier-Stokes equations in critical spaces. Zbl 1240.35382Dong, Boqing; Gala, Sadek; Chen, Zhimin 13 2011 Sloshing simulation of standing wave with time-independent finite difference method for Euler equations. Zbl 1384.76012Luo, Zhiqiang; Chen, Zhimin 1 2011 Stochastic non-Newtonian fluid motion equations of a nonlinear bipolar viscous fluid. Zbl 1200.76009Chen, Jianwen; Chen, Zhi-Min 4 2010 Asymptotic profiles of solutions to the 2D viscous incompressible micropolar fluid flows. Zbl 1170.35336Dong, Bo-Qing; Chen, Zhi-Min 45 2009 Regularity criteria of weak solutions to the three-dimensional micropolar flows. Zbl 1283.76016Dong, Boqing; Chen, Zhimin 37 2009 Regularity criterion of weak solutions to the 3D Navier-Stokes equations via two velocity components. Zbl 1132.35432Dong, Bo-Qing; Chen, Zhi-Min 16 2008 Stability and instability analyses of the dissipative quasi-geostrophic equation. Zbl 1133.76024Chen, Zhi-Min; Price, W. G. 6 2008 Smoothing dissimilarities to cluster binary data. Zbl 1452.62448Hitchcock, David B.; Chen, Zhimin 1 2008 Uniform attractors of non-homogeneous micropolar fluid flows in non-smooth domains. Zbl 1155.37043Chen, Jianwen; Chen, Zhi-Min; Dong, Bo-Qing 20 2007 A remark on regularity criterion for the dissipative quasi-geostrophic equations. Zbl 1154.76339Dong, Bo-Qing; Chen, Zhi-Min 18 2007 On upper and lower bounds of higher order derivatives for solutions to the 2D micropolar fluid equations. Zbl 1158.35074Dong, Bo-Qing; Chen, Zhi-Min 15 2007 Pullback attractors of non-autonomous micropolar fluid flows. Zbl 1152.37030Chen, Jianwen; Dong, Bo-Qing; Chen, Zhi-Min 8 2007 Asymptotic stability of the critical and super-critical dissipative quasi-geostrophic equation. Zbl 1109.76063Dong, Boqing; Chen, Zhi-Min 22 2006 Global attractors of two-dimensional micropolar fluid flows in some unbounded domains. Zbl 1103.76008Dong, Boqing; Chen, Zhimin 20 2006 Decay estimates of linearized micropolar fluid flows in \(\mathbb{R}^{3}\) space with applications to \(L_{3}\)-strong solutions. Zbl 1213.76012Chen, Zhi-Min; Price, W. G. 20 2006 Existence of \(H^{2}\)-global attractors of two-dimensional micropolar fluid flows. Zbl 1098.35035Chen, Jianwen; Chen, Zhi-Min; Dong, Bo-Qing 16 2006 On the relation between Rayleigh-Bénard convection and Lorenz system. Zbl 1084.76026Chen, Zhi-Min; Price, W. G. 11 2006 Time decay rates of non-Newtonian flows in \(\mathbf {R}^{n}_{+}\). Zbl 1102.76014Dong, Bo-Qing; Chen, Zhi-Min 10 2006 Asymptotic stability of non-Newtonian flows with large perturbation in \(\mathbb{R}^{2}\). Zbl 1138.35380Dong, Bo-Qing; Chen, Zhi-Min 10 2006 Computing Lyapunov exponents based on the solution expression of the variational system. Zbl 1090.65142Chen, Z.-M.; Djidjeli, K.; Price, W. G. 7 2006 Remarks on upper and lower bounds of solutions to the Navier–Stokes equations in \(\mathbb R^{2}\). Zbl 1103.76016Dong, Boqing; Chen, Zhimin 3 2006 Transition to chaos in a fluid motion system. Zbl 1074.76011Chen, Zhi-Min; Price, W. G. 8 2005 Onset of chaotic Kolmogorov flows resulting from interacting oscillatory modes. Zbl 1127.76024Chen, Zhi-Min; Price, W. G. 4 2005 Secondary fluid flows driven electromagnetically in a two-dimensional extended duct. Zbl 1139.76316Chen, Zhi-Min; Price, W. G. 3 2005 Bifurcating periodic solutions of wind-driven circulation equations. Zbl 1063.35028Chen, Zhi-Min; Price, W. G. 2 2005 Chaotic behavior of a Galerkin model of a two-dimensional flow. Zbl 1080.37093Chen, Zhi-Min; Price, W. G. 5 2004 Hopf bifurcation in quasi-geostrophic channel flow. Zbl 1126.76327Chen, Zhi-Min; Ghil, Michael; Simonnet, Eric; Wang, Shouhong 15 2003 Supercritical regimes of liquid-metal fluid motions in electromagnetic fields: Wall-bounded flows. Zbl 1015.76030Chen, Zhi-Min; Price, W. G. 4 2002 Homogeneity criterion for the Navier-Stokes equations in the whole spaces. Zbl 0982.35081Chen, Zhi Min; Xin, Zhouping 15 2001 Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations. Zbl 1022.35036Chen, Zhi-Min; Price, W. G. 11 2001 Blow-up rate estimates for weak solutions of the Navier-Stokes equations. Zbl 1009.76015Chen, Zhi-Min; Price, W. G. 10 2001 Flow field analysis of a 3D wing with flap based on N-S solution. Zbl 0989.76055Zhu, Z. Q.; Wu, Z. C.; Li, J.; Chen, Z. M. 1 2001 Steady-state bifurcations of the three-dimensional Kolmogorov problem. Zbl 0947.35105Chen, Zhi-Min; Wang, Shouhong 3 2000 Remarks on the time dependent periodic Navier-Stokes flows on a two-dimensional torus. Zbl 0969.76016Chen, Zhimin; Price, W. Geraint 10 1999 Bifurcations of a steady-state solution to the two-dimensional Navier-Stokes equations. Zbl 0943.35061Chen, Zhi-Min 7 1999 Hopf bifurcation of the three-dimensional Navier-Stokes equations. Zbl 0938.35115Chen, Zhi-Min 2 1999 Decay properties of weak solutions to a perturbed Navier-Stokes system in \(\mathbb{R}^n\). Zbl 0893.35092Chen, Zhimin; Miyakawa, Tetsuro 17 1997 Long-time behavior of Navier-Stokes flow on a two-dimensional torus excited by an external sinusoidal force. Zbl 0952.35501Chen, Zhi-Min; Price, W. G. 4 1997 Time dependent periodic Navier-Stokes flows on a two-dimensional torus. Zbl 0853.76015Chen, Zhimin; Price, W. G. 9 1996 \(L^ r\) stability of viscous incompressible fluid motions in unbounded domains. Zbl 0808.76017Chen, Zhimin 1 1994 Solutions of the stationary and nonstationary Navier-Stokes equations in exterior domains. Zbl 0787.35062Chen, Zhimin 13 1993 A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors. Zbl 0783.58044Chen, Zhi-Min 6 1993 \(L^ n\) solutions of the stationary and nonstationary Navier-Stokes equations in \(\mathbb{R}^ n\). Zbl 0787.35061Chen, Zhimin 3 1993 Remarks on stability of purely conductive steady states to the exterior Boussinesq problem. Zbl 0777.35055Chen, Zhimin; Kagei, Yoshiyuki; Miyakawa, Tetsuro 5 1992 A sharp decay result on strong solutions of the Navier-Stokes equations in the whole space. Zbl 0741.35056Chen, Zhi-Min 10 1991 A remark on flow invariance for semilinear parabolic equations. Zbl 0774.35033Chen, Zhimin 1 1991 Long time small solutions to nonlinear parabolic equations. Zbl 0733.35061Chen, Zhimin 2 1990 all cited Publications top 5 cited Publications all top 5 Cited by 427 Authors 38 Chen, Zhimin 30 Dong, Boqing 17 Jia, Yan 12 Gala, Sadek 11 Price, W. Geraint 10 Ragusa, Maria Alessandra 10 Zhao, Caidi 9 Wang, Quan 7 Hishida, Toshiaki 7 Wu, Jiahong 7 Zhai, Xiaoping 6 Wu, Fan 6 Yuan, Baoquan 5 Liu, Guowei 5 Mao, Yiqiu 5 Shang, Haifeng 5 Sun, Wenlong 5 Wang, Yanqing 5 Wang, Yinxia 4 Benseridi, Hamid 4 Guterres, Robert H. 4 He, Jiayi 4 Noblesse, Francis 4 Nunes, Juliana R. 4 Perusato, Cilon F. 4 Roh, Jaiok 4 Smaoui, Nejib 4 Wang, Yuzhu 4 Wei, Wei 4 Wu, Huiyu 4 Xie, Qianqian 4 Yamazaki, Kazuo 4 Yang, Chenjun 4 Zhao, Jihong 4 Zhu, Renchuan 3 An, Rong 3 Bian, Dongfen 3 Chamorro, Diego 3 Guo, Yana 3 Han, Daozhi 3 Kim, Jaemyoung 3 Kim, Sun-Chul 3 Komo, Christian 3 Li, Ming 3 Liu, Qiao 3 Łukaszewicz, Grzegorz 3 Mao, Jingjing 3 Okamoto, Hisashi 3 Pan, Zhigang 3 Tan, Zhong 3 Xiang, Zhaoyin 3 Xiao, Yuelong 3 Ye, Hailong 3 Ye, Zhuan 3 Yu, Huan 3 Zhang, Wenliang 3 Zhang, Xingwei 3 Zhang, Zujin 3 Zribi, Mohamed 2 Alghamdi, Ahmad Mohammad 2 Bae, Hyeong-Ohk 2 Belghith, Safya 2 Breit, Dominic 2 Chen, Jianwen 2 Constantin, Peter 2 Dilmi, Mourad 2 Dong, Hongjie 2 Gritli, Hassene 2 Grujić, Zoran 2 Gustafson, Stephen J. 2 Han, Pigong 2 Hashim, Ishak 2 He, Jiao 2 He, Xiaowei 2 Idris, R. 2 Jiu, Quansen 2 Kang, Kyungkeun 2 Kieu, Chanh 2 Letoufa, Yassine 2 Li, Hengyan 2 Li, Kaitai 2 Li, Xiao 2 Li, Yongsheng 2 Liu, Jitao 2 Liu, QingQing 2 Liu, Yujun 2 Lu, ChunHsien 2 Luo, Zhiqiang 2 Ma, Xuan 2 Melo, Wilberclay G. 2 Miyakawa, Tetsuro 2 Pavlović, Nataša 2 Ren, Junbai 2 Sengul, Mustafa Taylan 2 Shang, Zhaoyang 2 Silvestre, Ana Leonor 2 Straughan, Brian 2 Tan, Wen 2 Tsai, Tai-Peng 2 Tsurumi, Hiroyuki ...and 327 more Authors all top 5 Cited in 114 Serials 31 Journal of Mathematical Analysis and Applications 17 Nonlinear Analysis. Real World Applications 14 Applied Mathematics and Computation 13 Abstract and Applied Analysis 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Journal of Differential Equations 10 Chaos, Solitons and Fractals 10 Applied Mathematics Letters 10 Journal of Mathematical Fluid Mechanics 10 Boundary Value Problems 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Applicable Analysis 7 Acta Mathematica Scientia. Series B. (English Edition) 6 Archive for Rational Mechanics and Analysis 6 Journal of Mathematical Physics 6 Discrete and Continuous Dynamical Systems. Series B 5 Communications in Mathematical Physics 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Chaos 5 European Journal of Mechanics. B. Fluids 4 Computers & Mathematics with Applications 4 Mathematical Methods in the Applied Sciences 4 Journal of Functional Analysis 4 Physica D 4 Acta Mathematicae Applicatae Sinica. English Series 4 Discrete and Continuous Dynamical Systems 4 Communications in Nonlinear Science and Numerical Simulation 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Nonlinearity 3 Transactions of the American Mathematical Society 3 SIAM Journal on Applied Mathematics 3 Journal of Nonlinear Science 3 Mathematical Problems in Engineering 3 Communications on Pure and Applied Analysis 2 Journal of Engineering Mathematics 2 Journal of Fluid Mechanics 2 Journal of the Franklin Institute 2 Wave Motion 2 Applied Mathematics and Optimization 2 Archiv der Mathematik 2 Proceedings of the American Mathematical Society 2 Zeitschrift für Analysis und ihre Anwendungen 2 Acta Applicandae Mathematicae 2 Applications of Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 Journal of Dynamics and Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Applied Mathematics 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Discrete and Continuous Dynamical Systems. Series S 2 Asian-European Journal of Mathematics 2 Science China. Mathematics 2 Evolution Equations and Control Theory 2 AIMS Mathematics 1 Acta Mechanica 1 International Journal of Engineering Science 1 Journal of Statistical Physics 1 Acta Mathematica 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tôhoku Mathematical Journal. Second Series 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Scientific Computing 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Applied Mathematical Modelling 1 Journal of Non-Newtonian Fluid Mechanics 1 Computational Statistics and Data Analysis 1 New Zealand Journal of Mathematics 1 St. Petersburg Mathematical Journal 1 Computational and Applied Mathematics 1 Random Operators and Stochastic Equations 1 Journal of Inverse and Ill-Posed Problems 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Differential Equations 1 Complexity 1 Engineering Analysis with Boundary Elements 1 Documenta Mathematica 1 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics 1 Journal of Inequalities and Applications 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Revista Matemática Complutense 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 The ANZIAM Journal 1 Differential Equations 1 Journal of Evolution Equations 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 SIAM Journal on Applied Dynamical Systems 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche ...and 14 more Serials all top 5 Cited in 29 Fields 288 Partial differential equations (35-XX) 264 Fluid mechanics (76-XX) 39 Dynamical systems and ergodic theory (37-XX) 28 Geophysics (86-XX) 11 Numerical analysis (65-XX) 10 Ordinary differential equations (34-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Probability theory and stochastic processes (60-XX) 6 Optics, electromagnetic theory (78-XX) 6 Systems theory; control (93-XX) 4 Functions of a complex variable (30-XX) 4 Mechanics of particles and systems (70-XX) 4 Mechanics of deformable solids (74-XX) 3 Real functions (26-XX) 3 Operator theory (47-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Measure and integration (28-XX) 2 Statistics (62-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year