## Chen, Zhimin

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 Author ID: chen.zhimin Published as: Chen, Zhi-Min; Chen, Zhimin; Chen, Zhi-min; Chen, Zhi Min; Chen, ZhiMin; Chen, Z.-M.
 Documents Indexed: 147 Publications since 1979 Co-Authors: 55 Co-Authors with 80 Joint Publications 1,511 Co-Co-Authors
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### Co-Authors

 27 single-authored 20 Dong, Boqing 18 Price, W. Geraint 9 Zhai, Xiaoping 6 Chen, Jianwen 4 Bo, Yuming 4 Liu, Xiuxiang 3 Luo, Zhiqiang 2 Lin, Ying 2 Liu, Kaihui 2 Mai, Yiu-Wing 2 Miyakawa, Tetsuro 2 Schaumont, Patrick R. 2 Schreyer, Howard L. 2 Sulsky, Deborah L. 2 Tan, Wen 2 Tian, Mengchu 2 Wang, Shouhong 2 Wu, Panlong 2 Xiong, Xiangming 1 Atkins, A. G. 1 Atwood, J. L. 1 Bayrak, Coskun 1 Ben-Arieh, David 1 Bennavail, J.-C. 1 Boswell, L. F. 1 Cao, Zhenxin 1 Cau, Antonio 1 Chen, Guiyun 1 Chen, Peng 1 Cotterell, Brian 1 Djidjeli, K. 1 Eswaran, Hari 1 Gala, Sadek 1 Gao, Liang 1 Ghil, Michael 1 Gumel, Abba B. 1 Haataja, Mikko 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 Lowery, Curtis 1 Majidi, Carmel 1 Mao, Yiqiu 1 Melhem, Rami G. 1 Mickens, Ronald Elbert 1 Montgomery-Smith, Stephen J. 1 Pourasghar, Amin 1 Preissl, Hubert 1 Qiu, Haobo 1 Qu, Yuanxin 1 Salisbury, C. 1 Shi, Wujie 1 Simonnet, Eric 1 Singh, Madan G. 1 Sinha, Ambuj 1 Srolovitz, David J. 1 Sun, Duo 1 Wang, Quan 1 Wang, Tianxiong 1 Wang, Xianbin 1 Wilson, James D. 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 Zedan, Hussein 1 Zeng, Liling 1 Zhao, Gaopeng 1 Zhao, Longbiao 1 Zhao, Minya 1 Zhao, Yongzhi
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### Serials

 16 Journal of Mathematical Analysis and Applications 6 International Journal of Solids and Structures 6 Nonlinearity 5 Applied Mathematics and Computation 4 Communications in Mathematical Physics 4 Journal of Computational Physics 4 Chaos, Solitons and Fractals 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Journal of Mathematical Fluid Mechanics 3 Wave Motion 3 Discrete and Continuous Dynamical Systems. Series B 2 International Journal of Modern Physics B 2 Acta Mechanica 2 International Journal of Engineering Science 2 Journal of Applied Mechanics 2 Journal of Engineering Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 IEEE Transactions on Computers 2 Pacific Journal of Mathematics 2 Applied Mathematics and Mechanics. (English Edition) 2 Advances in Mathematical Sciences and Applications 2 Discrete and Continuous Dynamical Systems 2 Journal of Yangzhou University. Natural Science Edition 1 Applicable Analysis 1 Archives of Mechanics 1 Computers and Electrical Engineering 1 Computer Methods in Applied Mechanics and Engineering 1 Discrete Mathematics 1 International Journal for Numerical Methods in Fluids 1 Israel Journal of Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Arkiv för Matematik 1 Bulletin of the Polish Academy of Sciences. Technical Sciences 1 Acta Mathematica Sinica 1 Computing 1 Information Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Acta Applicandae Mathematicae 1 Acta Automatica Sinica 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Information and Decision Technology 1 Journal of Parallel and Distributed Computing 1 IEEE Transactions on Signal Processing 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 Journal of Nonlinear Science 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Huazhong University of Science and Technology 1 Journal of Inverse and Ill-Posed Problems 1 Science in China. Series E 1 Mathematical Problems in Engineering 1 Chaos 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Communications in Nonlinear Science and Numerical Simulation 1 Combustion Theory and Modelling 1 CMES. Computer Modeling in Engineering & Sciences 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 Fuzzy Optimization and Decision Making 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 Journal of Statistics and Applications 1 Asian Journal of Control 1 Journal of Theoretical Biology 1 Nonlinear Analysis. Theory, Methods & Applications
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### Fields

 72 Fluid mechanics (76-XX) 68 Partial differential equations (35-XX) 19 Dynamical systems and ergodic theory (37-XX) 19 Mechanics of deformable solids (74-XX) 10 Numerical analysis (65-XX) 9 Geophysics (86-XX) 8 Computer science (68-XX) 7 Biology and other natural sciences (92-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 4 Ordinary differential equations (34-XX) 4 Operations research, mathematical programming (90-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Group theory and generalizations (20-XX) 3 Statistics (62-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX)

### Citations contained in zbMATH Open

95 Publications have been cited 809 times in 322 Documents Cited by Year
A particle method for history-dependent materials. Zbl 0851.73078
Sulsky, D.; Chen, Z.; Schreyer, H. L.
1994
Asymptotic profiles of solutions to the 2D viscous incompressible micropolar fluid flows. Zbl 1170.35336
Dong, Bo-Qing; Chen, Zhi-Min
2009
An SPH model for multiphase flows with complex interfaces and large density differences. Zbl 1351.76231
Chen, Z.; Zong, Z.; Liu, M. B.; Zou, L.; Li, H. T.; Shu, C.
2015
Regularity criteria of weak solutions to the three-dimensional micropolar flows. Zbl 1283.76016
Dong, Boqing; Chen, Zhimin
2009
Pressure regularity criteria of the three-dimensional micropolar fluid flows. Zbl 1219.35189
Dong, Bo-Qing; Jia, Yan; Chen, Zhi-Min
2011
Nonstandard discretizations of the generalized Nagumo reaction-diffusion equation. Zbl 1019.65067
Chen, Z.; Gumel, A. B.; Mickens, R. E.
2003
Asymptotic stability of the critical and super-critical dissipative quasi-geostrophic equation. Zbl 1109.76063
Dong, Boqing; Chen, Zhi-Min
2006
Global attractors of two-dimensional micropolar fluid flows in some unbounded domains. Zbl 1103.76008
Dong, Boqing; Chen, Zhimin
2006
Uniform attractors of non-homogeneous micropolar fluid flows in non-smooth domains. Zbl 1155.37043
Chen, Jianwen; Chen, Zhi-Min; Dong, Bo-Qing
2007
Decay estimates of linearized micropolar fluid flows in $$\mathbb{R}^{3}$$ space with applications to $$L_{3}$$-strong solutions. Zbl 1213.76012
Chen, Zhi-Min; Price, W. G.
2006
A remark on regularity criterion for the dissipative quasi-geostrophic equations. Zbl 1154.76339
Dong, Bo-Qing; Chen, Zhi-Min
2007
Decay properties of weak solutions to a perturbed Navier-Stokes system in $$\mathbb{R}^n$$. Zbl 0893.35092
Chen, Zhimin; Miyakawa, Tetsuro
1997
Existence of $$H^{2}$$-global attractors of two-dimensional micropolar fluid flows. Zbl 1098.35035
Chen, Jianwen; Chen, Zhi-Min; Dong, Bo-Qing
2006
Hopf bifurcation in quasi-geostrophic channel flow. Zbl 1126.76327
Chen, Zhi-Min; Ghil, Michael; Simonnet, Eric; Wang, Shouhong
2003
Regularity criterion of weak solutions to the 3D Navier-Stokes equations via two velocity components. Zbl 1132.35432
Dong, Bo-Qing; Chen, Zhi-Min
2008
On upper and lower bounds of higher order derivatives for solutions to the 2D micropolar fluid equations. Zbl 1158.35074
Dong, Bo-Qing; Chen, Zhi-Min
2007
Homogeneity criterion for the Navier-Stokes equations in the whole spaces. Zbl 0982.35081
Chen, Zhi Min; Xin, Zhouping
2001
Solutions of the stationary and nonstationary Navier-Stokes equations in exterior domains. Zbl 0787.35062
Chen, Zhimin
1993
On the regularity criteria of the 3D Navier-Stokes equations in critical spaces. Zbl 1240.35382
Dong, Boqing; Gala, Sadek; Chen, Zhimin
2011
On the relation between Rayleigh-Bénard convection and Lorenz system. Zbl 1084.76026
Chen, Zhi-Min; Price, W. G.
2006
Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations. Zbl 1022.35036
Chen, Zhi-Min; Price, W. G.
2001
Remarks on the time dependent periodic Navier-Stokes flows on a two-dimensional torus. Zbl 0969.76016
Chen, Zhimin; Price, W. Geraint
1999
Theoretical analysis of the evolution from ignition kernel to flame ball and planar flame. Zbl 1113.80024
Chen, Z.; Ju, Y.
2007
Linguistic group decision-making: opinion aggregation and measures of consensus. Zbl 1127.68098
Ben-Arieh, D.; Chen, Z.
2006
A sharp decay result on strong solutions of the Navier-Stokes equations in the whole space. Zbl 0741.35056
Chen, Zhi-Min
1991
On the weak-strong uniqueness of the dissipative surface quasi-geostrophic equation. Zbl 1241.35158
Dong, Bo-Qing; Chen, Zhi-Min
2012
Time dependent periodic Navier-Stokes flows on a two-dimensional torus. Zbl 0853.76015
Chen, Zhimin; Price, W. G.
1996
Time decay rates of non-Newtonian flows in $$\mathbf {R}^{n}_{+}$$. Zbl 1102.76014
Dong, Bo-Qing; Chen, Zhi-Min
2006
Asymptotic stability of non-Newtonian flows with large perturbation in $$\mathbb{R}^{2}$$. Zbl 1138.35380
Dong, Bo-Qing; Chen, Zhi-Min
2006
Pullback attractors of non-autonomous micropolar fluid flows. Zbl 1152.37030
Chen, Jianwen; Dong, Bo-Qing; Chen, Zhi-Min
2007
Blow-up rate estimates for weak solutions of the Navier-Stokes equations. Zbl 1009.76015
Chen, Zhi-Min; Price, W. G.
2001
Harmonic function expansion for translating Green functions and dissipative free-surface waves. Zbl 1360.74073
Chen, Zhi-Min
2013
Effect of hyperbolic heat conduction on the linear and nonlinear vibration of CNT reinforced size-dependent functionally graded microbeams. Zbl 1425.74228
Pourasghar, A.; Chen, Z.
2019
Transition to chaos in a fluid motion system. Zbl 1074.76011
Chen, Zhi-Min; Price, W. G.
2005
Bifurcations of a steady-state solution to the two-dimensional Navier-Stokes equations. Zbl 0943.35061
Chen, Zhi-Min
1999
Computing Lyapunov exponents based on the solution expression of the variational system. Zbl 1090.65142
Chen, Z.-M.; Djidjeli, K.; Price, W. G.
2006
A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors. Zbl 0783.58044
Chen, Zhi-Min
1993
Stability and instability analyses of the dissipative quasi-geostrophic equation. Zbl 1133.76024
Chen, Zhi-Min; Price, W. G.
2008
Regular wave integral approach to numerical simulation of radiation and diffraction of surface waves. Zbl 1454.76019
Chen, Zhi-Min
2015
An investigation of the combined size and rate effects on the mechanical responses of FCC metals. Zbl 1144.74006
Guo, Y.; Zhuang, Z.; Li, X. Y.; Chen, Z.
2007
Global well-posedness for 2-D Boussinesq system with the temperature-dependent viscosity and supercritical dissipation. Zbl 1414.35153
Zhai, Xiaoping; Dong, Bo-Qing; Chen, Zhi-Min
2019
Straightforward approximation of the translating and pulsating free surface Green function. Zbl 1302.31010
Chen, Zhi-Min
2014
A bifurcation-based decohesion model for simulating the transition from localization to decohesion with the MPM. Zbl 1075.74076
Chen, Z.; Shen, L.; Mai, Y.-W.; Shen, Y.-G.
2005
Chaotic behavior of a Galerkin model of a two-dimensional flow. Zbl 1080.37093
Chen, Zhi-Min; Price, W. G.
2004
Long-time behavior of Navier-Stokes flow on a two-dimensional torus excited by an external sinusoidal force. Zbl 0952.35501
Chen, Zhi-Min; Price, W. G.
1997
Remarks on stability of purely conductive steady states to the exterior Boussinesq problem. Zbl 0777.35055
Chen, Zhimin; Kagei, Yoshiyuki; Miyakawa, Tetsuro
1992
Stochastic non-Newtonian fluid motion equations of a nonlinear bipolar viscous fluid. Zbl 1200.76009
Chen, Jianwen; Chen, Zhi-Min
2010
Equilibrium states of the Charney-DeVore quasi-geostrophic equation in mid-latitude atmosphere. Zbl 1351.86017
Chen, Zhi-Min; Xiong, Xiangming
2016
Steady-state bifurcations of the three-dimensional Kolmogorov problem. Zbl 0947.35105
Chen, Zhi-Min; Wang, Shouhong
2000
Improved material point method for simulating the zona failure response in piezo-assisted intracytoplasmic sperm injection. Zbl 1223.74046
Gan, Y.; Chen, Z.; Montgomery-Smith, S.
2011
On the stability and bifurcation of the non-rotating Boussinesq equation with the Kolmogorov forcing at a low Péclet number. Zbl 1444.76058
Mao, Yiqiu; Chen, Zhimin; Kieu, Chanh; Wang, Quan
2020
Regular wave integral approach to the prediction of hydrodynamic performance of submerged spheroid. Zbl 1456.76016
Chen, Zhi-Min
2014
Steady-state bifurcation analysis of a strong nonlinear atmospheric vorticity equation. Zbl 1319.35271
Chen, Zhi-Min
2015
Supercritical regimes of liquid-metal fluid motions in electromagnetic fields: Wall-bounded flows. Zbl 1015.76030
Chen, Zhi-Min; Price, W. G.
2002
Remarks on upper and lower bounds of solutions to the Navier–Stokes equations in $$\mathbb R^{2}$$. Zbl 1103.76016
Dong, Boqing; Chen, Zhimin
2006
Global large solutions and incompressible limit for the compressible Navier-Stokes equations. Zbl 1416.35181
Chen, Zhi-Min; Zhai, Xiaoping
2019
Onset of chaotic Kolmogorov flows resulting from interacting oscillatory modes. Zbl 1127.76024
Chen, Zhi-Min; Price, W. G.
2005
A multiphase smoothed particle hydrodynamics model with lower numerical diffusion. Zbl 1451.76097
Zheng, B. X.; Chen, Z.
2019
Applications of additive sequence of permutations. Zbl 1229.05007
Chen, Z.; Wu, D.; Fan, P.
2009
Commutator estimate in terms of partial derivatives of solutions for the dissipative quasi-geostrophic equation. Zbl 1346.35028
Chen, Jianwen; Chen, Zhi-Min
2016
Secondary fluid flows driven electromagnetically in a two-dimensional extended duct. Zbl 1139.76316
Chen, Zhi-Min; Price, W. G.
2005
Hopf bifurcation of the three-dimensional Navier-Stokes equations. Zbl 0938.35115
Chen, Zhi-Min
1999
A general failure criterion for plain concrete. Zbl 0609.73067
Boswell, L. F.; Chen, Z.
1987
On nonlocal damage models for interface problems. Zbl 0945.74677
Chen, Z.; Schreyer, H. L.
1994
Bifurcating periodic solutions of wind-driven circulation equations. Zbl 1063.35028
Chen, Zhi-Min; Price, W. G.
2005
Bifurcating steady-state solutions of the dissipative quasi-geostrophic equation in Lagrangian formulation. Zbl 1353.35231
Chen, Zhi-Min
2016
A computational model for impact failure with shear-induced dilatancy. Zbl 1038.74615
Chen, Z.; Feng, R.; Xin, X.; Shen, L.
2003
Long time small solutions to nonlinear parabolic equations. Zbl 0733.35061
Chen, Zhimin
1990
Global well-posedness for the MHD-Boussinesq system with the temperature-dependent viscosity. Zbl 1406.35308
Zhai, Xiaoping; Chen, Zhi-Min
2018
Global well-posedness for $$n$$-dimensional Boussinesq system with viscosity depending on temperature. Zbl 1408.35133
Zhai, Xiaoping; Chen, Zhi-Min
2018
A conjecture on the least stable mode for the energy stability of plane parallel flows. Zbl 1430.76172
Xiong, Xiangming; Chen, Zhi-Min
2019
A kinetic theory-based axisymmetric lattice Boltzmann flux solver for isothermal and thermal swirling flows. Zbl 1452.76188
Zhang, L. Q.; Chen, Z.; Shu, C.; Zhang, M. Q.
2019
Low-index equilibrium and multiple period-doubling cascades to chaos of atmospheric flow in beta-plane channel. Zbl 1345.34083
Chen, Zhi-Min
2016
Firefly algorithm intelligence optimized particle filter. Zbl 1363.68173
Tian, Mengchu; Bo, Yuming; Chen, Zhimin; Wu, Panlong; Zhao, Gaopeng
2016
A partitioned-modeling approach with moving jump conditions for localization. Zbl 0921.73147
Chen, Z.; Sulsky, D.
1995
A prehomogeneous vector space of characteristic 3. Zbl 0595.20046
Chen, Z.
1986
Flow field analysis of a 3D wing with flap based on N-S solution. Zbl 0989.76055
Zhu, Z. Q.; Wu, Z. C.; Li, J.; Chen, Z. M.
2001
Smoothing dissimilarities to cluster binary data. Zbl 1452.62448
Hitchcock, David B.; Chen, Zhimin
2008
A remark on flow invariance for semilinear parabolic equations. Zbl 0774.35033
Chen, Zhimin
1991
A wide-spectrum language for object-based development of real-time systems. Zbl 0943.68024
Chen, Z.; Zedan, H.; Cau, A.; Yang, H.
1999
$$L^ n$$ solutions of the stationary and nonstationary Navier-Stokes equations in $$\mathbb{R}^ n$$. Zbl 0787.35061
Chen, Zhimin
1993
$$L^ r$$ stability of viscous incompressible fluid motions in unbounded domains. Zbl 0808.76017
Chen, Zhimin
1994
On the design of improved failure detection experiments in synchronous sequential machines based on terminal measurements. Zbl 0421.68061
Das, S. R.; Chen, Z.; Wu, S. M.; Lee, S. Y.; Bhattacharyya, A.
1979
Sloshing simulation of standing wave with time-independent finite difference method for Euler equations. Zbl 1384.76012
Luo, Zhiqiang; Chen, Zhimin
2011
Global solution to the $$n$$-dimensional non-resistive MHD system with damping in magnetic field. Zbl 1390.35289
Zhai, Xiao-Ping; Chen, Zhi-Min
2018
Large-time regular solutions to the modified quasi-geostrophic equation in Besov spaces. Zbl 1420.35264
Tan, Wen; Dong, Bo-Qing; Chen, Zhi-Min
2019
New formulation of the finite depth free surface Green function. Zbl 1454.76020
Chen, Zhi-Min
2020
Use of magnetomyographic (MMG) signals to calculate the dependency properties of the active sensors in myometrial activity monitoring. Zbl 1049.92512
Bayrak, C.; Chen, Z.; Norton, J.; Preissl, H.; Lowery, C.; Eswaran, H.; Wilson, J. D.
2003
Spontaneous bending of piezoelectric nanoribbons: mechanics, polarization, and space charge coupling. Zbl 1193.74113
Majidi, C.; Chen, Z.; Srolovitz, D. J.; Haataja, M.
2010
Weak formulation of a multidimensional Muskat problem. Zbl 0723.35084
Jiang, L.; Chen, Z.
1990
Stability of oscillatory gravity wave trains with energy dissipation and Benjamin-Feir instability. Zbl 1253.35117
Chen, Zhi-Min; Wilson, Philip A.
2012
Global well-posedness for the density-dependent incompressible flow of liquid crystals. Zbl 1405.35172
Zhai, Xiaoping; Chen, Zhi-Min
2018
Modelling epidemics with fractional-dose vaccination in response to limited vaccine supply. Zbl 1429.92097
Chen, Zhimin; Liu, Kaihui; Liu, Xiuxiang; Lou, Yijun
2020
A comparative study of truly incompressible and weakly compressible SPH methods for free surface incompressible flows. Zbl 1455.76036
Chen, Z.; Zong, Z.; Liu, M. B.; Li, H. T.
2013
Global existence of solutions of the time fractional Cahn-Hilliard equation in $$\mathbb{R}^3$$. Zbl 1470.35420
Ye, Hailong; Liu, Qiang; Chen, Zhi-Min
2021
Global existence of solutions of the time fractional Cahn-Hilliard equation in $$\mathbb{R}^3$$. Zbl 1470.35420
Ye, Hailong; Liu, Qiang; Chen, Zhi-Min
2021
On the stability and bifurcation of the non-rotating Boussinesq equation with the Kolmogorov forcing at a low Péclet number. Zbl 1444.76058
Mao, Yiqiu; Chen, Zhimin; Kieu, Chanh; Wang, Quan
2020
New formulation of the finite depth free surface Green function. Zbl 1454.76020
Chen, Zhi-Min
2020
Modelling epidemics with fractional-dose vaccination in response to limited vaccine supply. Zbl 1429.92097
Chen, Zhimin; Liu, Kaihui; Liu, Xiuxiang; Lou, Yijun
2020
Effect of hyperbolic heat conduction on the linear and nonlinear vibration of CNT reinforced size-dependent functionally graded microbeams. Zbl 1425.74228
Pourasghar, A.; Chen, Z.
2019
Global well-posedness for 2-D Boussinesq system with the temperature-dependent viscosity and supercritical dissipation. Zbl 1414.35153
Zhai, Xiaoping; Dong, Bo-Qing; Chen, Zhi-Min
2019
Global large solutions and incompressible limit for the compressible Navier-Stokes equations. Zbl 1416.35181
Chen, Zhi-Min; Zhai, Xiaoping
2019
A multiphase smoothed particle hydrodynamics model with lower numerical diffusion. Zbl 1451.76097
Zheng, B. X.; Chen, Z.
2019
A conjecture on the least stable mode for the energy stability of plane parallel flows. Zbl 1430.76172
Xiong, Xiangming; Chen, Zhi-Min
2019
A kinetic theory-based axisymmetric lattice Boltzmann flux solver for isothermal and thermal swirling flows. Zbl 1452.76188
Zhang, L. Q.; Chen, Z.; Shu, C.; Zhang, M. Q.
2019
Large-time regular solutions to the modified quasi-geostrophic equation in Besov spaces. Zbl 1420.35264
Tan, Wen; Dong, Bo-Qing; Chen, Zhi-Min
2019
Global well-posedness for the MHD-Boussinesq system with the temperature-dependent viscosity. Zbl 1406.35308
Zhai, Xiaoping; Chen, Zhi-Min
2018
Global well-posedness for $$n$$-dimensional Boussinesq system with viscosity depending on temperature. Zbl 1408.35133
Zhai, Xiaoping; Chen, Zhi-Min
2018
Global solution to the $$n$$-dimensional non-resistive MHD system with damping in magnetic field. Zbl 1390.35289
Zhai, Xiao-Ping; Chen, Zhi-Min
2018
Global well-posedness for the density-dependent incompressible flow of liquid crystals. Zbl 1405.35172
Zhai, Xiaoping; Chen, Zhi-Min
2018
Equilibrium states of the Charney-DeVore quasi-geostrophic equation in mid-latitude atmosphere. Zbl 1351.86017
Chen, Zhi-Min; Xiong, Xiangming
2016
Commutator estimate in terms of partial derivatives of solutions for the dissipative quasi-geostrophic equation. Zbl 1346.35028
Chen, Jianwen; Chen, Zhi-Min
2016
Bifurcating steady-state solutions of the dissipative quasi-geostrophic equation in Lagrangian formulation. Zbl 1353.35231
Chen, Zhi-Min
2016
Low-index equilibrium and multiple period-doubling cascades to chaos of atmospheric flow in beta-plane channel. Zbl 1345.34083
Chen, Zhi-Min
2016
Firefly algorithm intelligence optimized particle filter. Zbl 1363.68173
Tian, Mengchu; Bo, Yuming; Chen, Zhimin; Wu, Panlong; Zhao, Gaopeng
2016
An SPH model for multiphase flows with complex interfaces and large density differences. Zbl 1351.76231
Chen, Z.; Zong, Z.; Liu, M. B.; Zou, L.; Li, H. T.; Shu, C.
2015
Regular wave integral approach to numerical simulation of radiation and diffraction of surface waves. Zbl 1454.76019
Chen, Zhi-Min
2015
Steady-state bifurcation analysis of a strong nonlinear atmospheric vorticity equation. Zbl 1319.35271
Chen, Zhi-Min
2015
Straightforward approximation of the translating and pulsating free surface Green function. Zbl 1302.31010
Chen, Zhi-Min
2014
Regular wave integral approach to the prediction of hydrodynamic performance of submerged spheroid. Zbl 1456.76016
Chen, Zhi-Min
2014
Harmonic function expansion for translating Green functions and dissipative free-surface waves. Zbl 1360.74073
Chen, Zhi-Min
2013
A comparative study of truly incompressible and weakly compressible SPH methods for free surface incompressible flows. Zbl 1455.76036
Chen, Z.; Zong, Z.; Liu, M. B.; Li, H. T.
2013
On the weak-strong uniqueness of the dissipative surface quasi-geostrophic equation. Zbl 1241.35158
Dong, Bo-Qing; Chen, Zhi-Min
2012
Stability of oscillatory gravity wave trains with energy dissipation and Benjamin-Feir instability. Zbl 1253.35117
Chen, Zhi-Min; Wilson, Philip A.
2012
Pressure regularity criteria of the three-dimensional micropolar fluid flows. Zbl 1219.35189
Dong, Bo-Qing; Jia, Yan; Chen, Zhi-Min
2011
On the regularity criteria of the 3D Navier-Stokes equations in critical spaces. Zbl 1240.35382
Dong, Boqing; Gala, Sadek; Chen, Zhimin
2011
Improved material point method for simulating the zona failure response in piezo-assisted intracytoplasmic sperm injection. Zbl 1223.74046
Gan, Y.; Chen, Z.; Montgomery-Smith, S.
2011
Sloshing simulation of standing wave with time-independent finite difference method for Euler equations. Zbl 1384.76012
Luo, Zhiqiang; Chen, Zhimin
2011
Stochastic non-Newtonian fluid motion equations of a nonlinear bipolar viscous fluid. Zbl 1200.76009
Chen, Jianwen; Chen, Zhi-Min
2010
Spontaneous bending of piezoelectric nanoribbons: mechanics, polarization, and space charge coupling. Zbl 1193.74113
Majidi, C.; Chen, Z.; Srolovitz, D. J.; Haataja, M.
2010
Asymptotic profiles of solutions to the 2D viscous incompressible micropolar fluid flows. Zbl 1170.35336
Dong, Bo-Qing; Chen, Zhi-Min
2009
Regularity criteria of weak solutions to the three-dimensional micropolar flows. Zbl 1283.76016
Dong, Boqing; Chen, Zhimin
2009
Applications of additive sequence of permutations. Zbl 1229.05007
Chen, Z.; Wu, D.; Fan, P.
2009
Regularity criterion of weak solutions to the 3D Navier-Stokes equations via two velocity components. Zbl 1132.35432
Dong, Bo-Qing; Chen, Zhi-Min
2008
Stability and instability analyses of the dissipative quasi-geostrophic equation. Zbl 1133.76024
Chen, Zhi-Min; Price, W. G.
2008
Smoothing dissimilarities to cluster binary data. Zbl 1452.62448
Hitchcock, David B.; Chen, Zhimin
2008
Uniform attractors of non-homogeneous micropolar fluid flows in non-smooth domains. Zbl 1155.37043
Chen, Jianwen; Chen, Zhi-Min; Dong, Bo-Qing
2007
A remark on regularity criterion for the dissipative quasi-geostrophic equations. Zbl 1154.76339
Dong, Bo-Qing; Chen, Zhi-Min
2007
On upper and lower bounds of higher order derivatives for solutions to the 2D micropolar fluid equations. Zbl 1158.35074
Dong, Bo-Qing; Chen, Zhi-Min
2007
Theoretical analysis of the evolution from ignition kernel to flame ball and planar flame. Zbl 1113.80024
Chen, Z.; Ju, Y.
2007
Pullback attractors of non-autonomous micropolar fluid flows. Zbl 1152.37030
Chen, Jianwen; Dong, Bo-Qing; Chen, Zhi-Min
2007
An investigation of the combined size and rate effects on the mechanical responses of FCC metals. Zbl 1144.74006
Guo, Y.; Zhuang, Z.; Li, X. Y.; Chen, Z.
2007
Asymptotic stability of the critical and super-critical dissipative quasi-geostrophic equation. Zbl 1109.76063
Dong, Boqing; Chen, Zhi-Min
2006
Global attractors of two-dimensional micropolar fluid flows in some unbounded domains. Zbl 1103.76008
Dong, Boqing; Chen, Zhimin
2006
Decay estimates of linearized micropolar fluid flows in $$\mathbb{R}^{3}$$ space with applications to $$L_{3}$$-strong solutions. Zbl 1213.76012
Chen, Zhi-Min; Price, W. G.
2006
Existence of $$H^{2}$$-global attractors of two-dimensional micropolar fluid flows. Zbl 1098.35035
Chen, Jianwen; Chen, Zhi-Min; Dong, Bo-Qing
2006
On the relation between Rayleigh-Bénard convection and Lorenz system. Zbl 1084.76026
Chen, Zhi-Min; Price, W. G.
2006
Linguistic group decision-making: opinion aggregation and measures of consensus. Zbl 1127.68098
Ben-Arieh, D.; Chen, Z.
2006
Time decay rates of non-Newtonian flows in $$\mathbf {R}^{n}_{+}$$. Zbl 1102.76014
Dong, Bo-Qing; Chen, Zhi-Min
2006
Asymptotic stability of non-Newtonian flows with large perturbation in $$\mathbb{R}^{2}$$. Zbl 1138.35380
Dong, Bo-Qing; Chen, Zhi-Min
2006
Computing Lyapunov exponents based on the solution expression of the variational system. Zbl 1090.65142
Chen, Z.-M.; Djidjeli, K.; Price, W. G.
2006
Remarks on upper and lower bounds of solutions to the Navier–Stokes equations in $$\mathbb R^{2}$$. Zbl 1103.76016
Dong, Boqing; Chen, Zhimin
2006
Transition to chaos in a fluid motion system. Zbl 1074.76011
Chen, Zhi-Min; Price, W. G.
2005
A bifurcation-based decohesion model for simulating the transition from localization to decohesion with the MPM. Zbl 1075.74076
Chen, Z.; Shen, L.; Mai, Y.-W.; Shen, Y.-G.
2005
Onset of chaotic Kolmogorov flows resulting from interacting oscillatory modes. Zbl 1127.76024
Chen, Zhi-Min; Price, W. G.
2005
Secondary fluid flows driven electromagnetically in a two-dimensional extended duct. Zbl 1139.76316
Chen, Zhi-Min; Price, W. G.
2005
Bifurcating periodic solutions of wind-driven circulation equations. Zbl 1063.35028
Chen, Zhi-Min; Price, W. G.
2005
Chaotic behavior of a Galerkin model of a two-dimensional flow. Zbl 1080.37093
Chen, Zhi-Min; Price, W. G.
2004
Nonstandard discretizations of the generalized Nagumo reaction-diffusion equation. Zbl 1019.65067
Chen, Z.; Gumel, A. B.; Mickens, R. E.
2003
Hopf bifurcation in quasi-geostrophic channel flow. Zbl 1126.76327
Chen, Zhi-Min; Ghil, Michael; Simonnet, Eric; Wang, Shouhong
2003
A computational model for impact failure with shear-induced dilatancy. Zbl 1038.74615
Chen, Z.; Feng, R.; Xin, X.; Shen, L.
2003
Use of magnetomyographic (MMG) signals to calculate the dependency properties of the active sensors in myometrial activity monitoring. Zbl 1049.92512
Bayrak, C.; Chen, Z.; Norton, J.; Preissl, H.; Lowery, C.; Eswaran, H.; Wilson, J. D.
2003
Supercritical regimes of liquid-metal fluid motions in electromagnetic fields: Wall-bounded flows. Zbl 1015.76030
Chen, Zhi-Min; Price, W. G.
2002
Homogeneity criterion for the Navier-Stokes equations in the whole spaces. Zbl 0982.35081
Chen, Zhi Min; Xin, Zhouping
2001
Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations. Zbl 1022.35036
Chen, Zhi-Min; Price, W. G.
2001
Blow-up rate estimates for weak solutions of the Navier-Stokes equations. Zbl 1009.76015
Chen, Zhi-Min; Price, W. G.
2001
Flow field analysis of a 3D wing with flap based on N-S solution. Zbl 0989.76055
Zhu, Z. Q.; Wu, Z. C.; Li, J.; Chen, Z. M.
2001
Steady-state bifurcations of the three-dimensional Kolmogorov problem. Zbl 0947.35105
Chen, Zhi-Min; Wang, Shouhong
2000
Remarks on the time dependent periodic Navier-Stokes flows on a two-dimensional torus. Zbl 0969.76016
Chen, Zhimin; Price, W. Geraint
1999
Bifurcations of a steady-state solution to the two-dimensional Navier-Stokes equations. Zbl 0943.35061
Chen, Zhi-Min
1999
Hopf bifurcation of the three-dimensional Navier-Stokes equations. Zbl 0938.35115
Chen, Zhi-Min
1999
A wide-spectrum language for object-based development of real-time systems. Zbl 0943.68024
Chen, Z.; Zedan, H.; Cau, A.; Yang, H.
1999
Decay properties of weak solutions to a perturbed Navier-Stokes system in $$\mathbb{R}^n$$. Zbl 0893.35092
Chen, Zhimin; Miyakawa, Tetsuro
1997
Long-time behavior of Navier-Stokes flow on a two-dimensional torus excited by an external sinusoidal force. Zbl 0952.35501
Chen, Zhi-Min; Price, W. G.
1997
Time dependent periodic Navier-Stokes flows on a two-dimensional torus. Zbl 0853.76015
Chen, Zhimin; Price, W. G.
1996
A partitioned-modeling approach with moving jump conditions for localization. Zbl 0921.73147
Chen, Z.; Sulsky, D.
1995
A particle method for history-dependent materials. Zbl 0851.73078
Sulsky, D.; Chen, Z.; Schreyer, H. L.
1994
On nonlocal damage models for interface problems. Zbl 0945.74677
Chen, Z.; Schreyer, H. L.
1994
$$L^ r$$ stability of viscous incompressible fluid motions in unbounded domains. Zbl 0808.76017
Chen, Zhimin
1994
Solutions of the stationary and nonstationary Navier-Stokes equations in exterior domains. Zbl 0787.35062
Chen, Zhimin
1993
A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors. Zbl 0783.58044
Chen, Zhi-Min
1993
$$L^ n$$ solutions of the stationary and nonstationary Navier-Stokes equations in $$\mathbb{R}^ n$$. Zbl 0787.35061
Chen, Zhimin
1993
Remarks on stability of purely conductive steady states to the exterior Boussinesq problem. Zbl 0777.35055
Chen, Zhimin; Kagei, Yoshiyuki; Miyakawa, Tetsuro
1992
A sharp decay result on strong solutions of the Navier-Stokes equations in the whole space. Zbl 0741.35056
Chen, Zhi-Min
1991
A remark on flow invariance for semilinear parabolic equations. Zbl 0774.35033
Chen, Zhimin
1991
Long time small solutions to nonlinear parabolic equations. Zbl 0733.35061
Chen, Zhimin
1990
Weak formulation of a multidimensional Muskat problem. Zbl 0723.35084
Jiang, L.; Chen, Z.
1990
A general failure criterion for plain concrete. Zbl 0609.73067
Boswell, L. F.; Chen, Z.
1987
A prehomogeneous vector space of characteristic 3. Zbl 0595.20046
Chen, Z.
1986
On the design of improved failure detection experiments in synchronous sequential machines based on terminal measurements. Zbl 0421.68061
Das, S. R.; Chen, Z.; Wu, S. M.; Lee, S. Y.; Bhattacharyya, A.
1979
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### Cited by 386 Authors

 36 Chen, Zhimin 29 Dong, Boqing 17 Jia, Yan 12 Gala, Sadek 11 Price, W. Geraint 10 Ragusa, Maria Alessandra 10 Zhao, Caidi 8 Wang, Quan 6 Hishida, Toshiaki 6 Wu, Fan 6 Wu, Jiahong 6 Yuan, Baoquan 5 Liu, Guowei 5 Mao, Yiqiu 5 Shang, Haifeng 5 Sun, Wenlong 5 Wang, Yinxia 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 Wu, Huiyu 4 Xie, Qianqian 4 Yamazaki, Kazuo 4 Yang, Chenjun 4 Zhai, Xiaoping 4 Zhao, Jihong 4 Zhu, Renchuan 3 An, Rong 3 Benseridi, Hamid 3 Chamorro, Diego 3 Guo, Yana 3 Kim, Sun-Chul 3 Komo, Christian 3 Liu, Qiao 3 Łukaszewicz, Grzegorz 3 Okamoto, Hisashi 3 Pan, Zhigang 3 Tan, Zhong 3 Wang, Yanqing 3 Xiang, Zhaoyin 3 Ye, Hailong 3 Ye, Zhuan 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 Dong, Hongjie 2 Gritli, Hassene 2 Gustafson, Stephen J. 2 Han, Daozhi 2 Han, Pigong 2 Hashim, Ishak 2 He, Jiao 2 He, Xiaowei 2 Idris, R. 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 Tsai, Tai-Peng 2 Wang, Shouhong 2 Xiao, Yuelong 2 Xu, Qiuju 2 Xu, Wenqing 2 Yu, Huan 2 Zhang, Zhifei 2 Zhou, Guopeng 2 Zhou, Shengfan 2 Zhu, Weipeng 1 Abo-Dahab, Sayed M. 1 Aguirre Estibalez, Julián 1 Ai, Chengfei ...and 286 more Authors
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### Cited in 111 Serials

 27 Journal of Mathematical Analysis and Applications 16 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 10 Chaos, Solitons and Fractals 10 Journal of Differential Equations 10 Boundary Value Problems 9 Applied Mathematics Letters 8 Journal of Mathematical Fluid Mechanics 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Applicable Analysis 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 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 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Computers & Mathematics with Applications 3 Nonlinearity 3 Transactions of the American Mathematical Society 3 SIAM Journal on Applied Mathematics 3 Mathematical Problems in Engineering 3 Communications in Nonlinear Science and Numerical Simulation 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 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 Journal of Dynamics and Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Applied Mathematics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Communications on Pure and Applied Analysis 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 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 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tohoku 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 Journal of Nonlinear Science 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 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 SIAM Journal on Applied Dynamical Systems 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Frontiers of Mathematics in China 1 Communications in Computational Physics 1 Kinetic and Related Models 1 Differential Equations and Applications ...and 11 more Serials
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### Cited in 28 Fields

 263 Partial differential equations (35-XX) 237 Fluid mechanics (76-XX) 38 Dynamical systems and ergodic theory (37-XX) 25 Geophysics (86-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Ordinary differential equations (34-XX) 9 Probability theory and stochastic processes (60-XX) 7 Numerical analysis (65-XX) 7 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) 4 Optics, electromagnetic theory (78-XX) 3 Real functions (26-XX) 3 Operator theory (47-XX) 2 Measure and integration (28-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)