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Chen, Zhimin

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Author ID: chen.zhimin Recent zbMATH articles by "Chen, Zhimin"
Published as: Chen, Z.; Chen, Z. M.; Chen, Z.-M.; Chen, Zhi Min; Chen, Zhi-Min; Chen, Zhi-min; Chen, ZhiMin; Chen, Zhimin
Documents Indexed: 145 Publications since 1979
all top 5

Serials

16 Journal of Mathematical Analysis and Applications
6 Nonlinearity
5 Applied Mathematics and Computation
4 Communications in Mathematical Physics
4 Chaos, Solitons and Fractals
4 Journal of Mathematical Fluid Mechanics
3 Wave Motion
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Journal of Engineering Mathematics
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
2 Discrete and Continuous Dynamical Systems. Series B
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 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 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 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 Chaos
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Communications in Nonlinear Science and Numerical Simulation
1 Nonlinear Analysis. Real World Applications
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Communications in Mathematical Sciences
1 Control and Decision
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

Publications by Year

Citations contained in zbMATH

86 Publications have been cited 671 times in 479 Documents Cited by Year
A particle method for history-dependent materials. Zbl 0851.73078
Sulsky, D.; Chen, Z.; Schreyer, H. L.
109
1994
Asymptotic profiles of solutions to the 2D viscous incompressible micropolar fluid flows. Zbl 1170.35336
Dong, Bo-Qing; Chen, Zhi-Min
38
2009
Regularity criteria of weak solutions to the three-dimensional micropolar flows. Zbl 1283.76016
Dong, Boqing; Chen, Zhimin
32
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.
29
2015
Pressure regularity criteria of the three-dimensional micropolar fluid flows. Zbl 1219.35189
Dong, Bo-Qing; Jia, Yan; Chen, Zhi-Min
20
2011
A remark on regularity criterion for the dissipative quasi-geostrophic equations. Zbl 1154.76339
Dong, Bo-Qing; Chen, Zhi-Min
18
2007
Asymptotic stability of the critical and super-critical dissipative quasi-geostrophic equation. Zbl 1109.76063
Dong, Boqing; Chen, Zhi-Min
18
2006
Nonstandard discretizations of the generalized Nagumo reaction-diffusion equation. Zbl 1019.65067
Chen, Z.; Gumel, A. B.; Mickens, R. E.
17
2003
Omni-Lie algebroids. Zbl 1210.17003
Chen, Z.; Liu, Z.-J.
16
2010
Uniform attractors of non-homogeneous micropolar fluid flows in non-smooth domains. Zbl 1155.37043
Chen, Jianwen; Chen, Zhi-Min; Dong, Bo-Qing
16
2007
Global attractors of two-dimensional micropolar fluid flows in some unbounded domains. Zbl 1103.76008
Dong, Boqing; Chen, Zhimin
16
2006
Decay properties of weak solutions to a perturbed Navier-Stokes system in \(\mathbb{R}^n\). Zbl 0893.35092
Chen, Zhimin; Miyakawa, Tetsuro
16
1997
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.
15
2006
Homogeneity criterion for the Navier-Stokes equations in the whole spaces. Zbl 0982.35081
Chen, Zhi Min; Xin, Zhouping
15
2001
Existence of \(H^{2}\)-global attractors of two-dimensional micropolar fluid flows. Zbl 1098.35035
Chen, Jianwen; Chen, Zhi-Min; Dong, Bo-Qing
13
2006
Solutions of the stationary and nonstationary Navier-Stokes equations in exterior domains. Zbl 0787.35062
Chen, Zhimin
12
1993
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
11
2007
Hopf bifurcation in quasi-geostrophic channel flow. Zbl 1126.76327
Chen, Zhi-Min; Ghil, Michael; Simonnet, Eric; Wang, Shouhong
11
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
10
2008
Time decay rates of non-Newtonian flows in \(\mathbf {R}^{n}_{+}\). Zbl 1102.76014
Dong, Bo-Qing; Chen, Zhi-Min
10
2006
On the relation between Rayleigh-Bénard convection and Lorenz system. Zbl 1084.76026
Chen, Zhi-Min; Price, W. G.
10
2006
On the weak-strong uniqueness of the dissipative surface quasi-geostrophic equation. Zbl 1241.35158
Dong, Bo-Qing; Chen, Zhi-Min
9
2012
Remarks on the time dependent periodic Navier-Stokes flows on a two-dimensional torus. Zbl 0969.76016
Chen, Zhimin; Price, W. Geraint
9
1999
Bifurcations of a steady-state solution to the two-dimensional Navier-Stokes equations. Zbl 0943.35061
Chen, Zhi-Min
9
1999
On the regularity criteria of the 3D Navier-Stokes equations in critical spaces. Zbl 1240.35382
Dong, Boqing; Gala, Sadek; Chen, Zhimin
8
2011
Linguistic group decision-making: opinion aggregation and measures of consensus. Zbl 1127.68098
Ben-Arieh, D.; Chen, Z.
8
2006
Transition to chaos in a fluid motion system. Zbl 1074.76011
Chen, Zhi-Min; Price, W. G.
8
2005
Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations. Zbl 1022.35036
Chen, Zhi-Min; Price, W. G.
8
2001
Time dependent periodic Navier-Stokes flows on a two-dimensional torus. Zbl 0853.76015
Chen, Zhimin; Price, W. G.
8
1996
Pullback attractors of non-autonomous micropolar fluid flows. Zbl 1152.37030
Chen, Jianwen; Dong, Bo-Qing; Chen, Zhi-Min
7
2007
Asymptotic stability of non-Newtonian flows with large perturbation in \(\mathbb{R}^{2}\). Zbl 1138.35380
Dong, Bo-Qing; Chen, Zhi-Min
7
2006
Blow-up rate estimates for weak solutions of the Navier-Stokes equations. Zbl 1009.76015
Chen, Zhi-Min; Price, W. G.
7
2001
A sharp decay result on strong solutions of the Navier-Stokes equations in the whole space. Zbl 0741.35056
Chen, Zhi-Min
7
1991
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.
6
2019
Stability and instability analyses of the dissipative quasi-geostrophic equation. Zbl 1133.76024
Chen, Zhi-Min; Price, W. G.
6
2008
Theoretical analysis of the evolution from ignition kernel to flame ball and planar flame. Zbl 1113.80024
Chen, Z.; Ju, Y.
6
2007
Computing Lyapunov exponents based on the solution expression of the variational system. Zbl 1090.65142
Chen, Z.-M.; Djidjeli, K.; Price, W. G.
6
2006
A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors. Zbl 0783.58044
Chen, Zhi-Min
6
1993
Harmonic function expansion for translating Green functions and dissipative free-surface waves. Zbl 1360.74073
Chen, Zhi-Min
5
2013
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.
5
2007
Chaotic behavior of a Galerkin model of a two-dimensional flow. Zbl 1080.37093
Chen, Zhi-Min; Price, W. G.
5
2004
Remarks on stability of purely conductive steady states to the exterior Boussinesq problem. Zbl 0777.35055
Chen, Zhimin; Kagei, Yoshiyuki; Miyakawa, Tetsuro
5
1992
On (co-)morphisms of Lie pseudoalgebras and groupoids. Zbl 1129.22002
Chen, Z.; Liu, Z.-J.
4
2007
Steady-state bifurcation analysis of a strong nonlinear atmospheric vorticity equation. Zbl 1319.35271
Chen, Zhi-Min
3
2015
Stochastic non-Newtonian fluid motion equations of a nonlinear bipolar viscous fluid. Zbl 1200.76009
Chen, Jianwen; Chen, Zhi-Min
3
2010
Remarks on upper and lower bounds of solutions to the Navier–Stokes equations in \(\mathbb R^{2}\). Zbl 1103.76016
Dong, Boqing; Chen, Zhimin
3
2006
Onset of chaotic Kolmogorov flows resulting from interacting oscillatory modes. Zbl 1127.76024
Chen, Zhi-Min; Price, W. G.
3
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.
3
2005
On transitive Lie bialgebroids and Poisson groupoids. Zbl 1159.58306
Chen, Z.; Liu, Z.-J.
3
2005
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.
3
1997
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
2
2019
Numerical investigation on the water entry of convex objects using a multiphase smoothed particle hydrodynamics model. Zbl 1404.76222
Zou, Li; Zhu, G. X.; Chen, Z.; Pei, Y. G.; Zong, Z.
2
2018
Equilibrium states of the Charney-DeVore quasi-geostrophic equation in mid-latitude atmosphere. Zbl 1351.86017
Chen, Zhi-Min; Xiong, Xiangming
2
2016
Commutator estimate in terms of partial derivatives of solutions for the dissipative quasi-geostrophic equation. Zbl 1346.35028
Chen, Jianwen; Chen, Zhi-Min
2
2016
Regular wave integral approach to numerical simulation of radiation and diffraction of surface waves. Zbl 07062884
Chen, Zhi-Min
2
2015
Straightforward approximation of the translating and pulsating free surface Green function. Zbl 1302.31010
Chen, Zhi-Min
2
2014
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.
2
2011
Applications of additive sequence of permutations. Zbl 1229.05007
Chen, Z.; Wu, D.; Fan, P.
2
2009
Supercritical regimes of liquid-metal fluid motions in electromagnetic fields: Wall-bounded flows. Zbl 1015.76030
Chen, Zhi-Min; Price, W. G.
2
2002
Steady-state bifurcations of the three-dimensional Kolmogorov problem. Zbl 0947.35105
Chen, Zhi-Min; Wang, Shouhong
2
2000
On nonlocal damage models for interface problems. Zbl 0945.74677
Chen, Z.; Schreyer, H. L.
2
1994
Long time small solutions to nonlinear parabolic equations. Zbl 0733.35061
Chen, Zhimin
2
1990
A general failure criterion for plain concrete. Zbl 0609.73067
Boswell, L. F.; Chen, Z.
2
1987
A conjecture on the least stable mode for the energy stability of plane parallel flows. Zbl 1430.76172
Xiong, Xiangming; Chen, Zhi-Min
1
2019
Global well-posedness for \(n\)-dimensional Boussinesq system with viscosity depending on temperature. Zbl 1408.35133
Zhai, Xiaoping; Chen, Zhi-Min
1
2018
Bifurcating steady-state solutions of the dissipative quasi-geostrophic equation in Lagrangian formulation. Zbl 1353.35231
Chen, Zhi-Min
1
2016
Low-index equilibrium and multiple period-doubling cascades to chaos of atmospheric flow in beta-plane channel. Zbl 1345.34083
Chen, Zhi-Min
1
2016
Regular wave integral approach to the prediction of hydrodynamic performance of submerged spheroid. Zbl 07026946
Chen, Zhi-Min
1
2014
Stability of oscillatory gravity wave trains with energy dissipation and Benjamin-Feir instability. Zbl 1253.35117
Chen, Zhi-Min; Wilson, Philip A.
1
2012
Sloshing simulation of standing wave with time-independent finite difference method for Euler equations. Zbl 1384.76012
Luo, Zhiqiang; Chen, Zhimin
1
2011
Spontaneous bending of piezoelectric nanoribbons: mechanics, polarization, and space charge coupling. Zbl 1193.74113
Majidi, C.; Chen, Z.; Srolovitz, D. J.; Haataja, M.
1
2010
Smoothing dissimilarities to cluster binary data. Zbl 05565050
Hitchcock, David B.; Chen, Zhimin
1
2008
Secondary fluid flows driven electromagnetically in a two-dimensional extended duct. Zbl 1139.76316
Chen, Zhi-Min; Price, W. G.
1
2005
Bifurcating periodic solutions of wind-driven circulation equations. Zbl 1063.35028
Chen, Zhi-Min; Price, W. G.
1
2005
A computational model for impact failure with shear-induced dilatancy. Zbl 1038.74615
Chen, Z.; Feng, R.; Xin, X.; Shen, L.
1
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.
1
2003
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.
1
2001
A wide-spectrum language for object-based development of real-time systems. Zbl 0943.68024
Chen, Z.; Zedan, H.; Cau, A.; Yang, H.
1
1999
Hopf bifurcation of the three-dimensional Navier-Stokes equations. Zbl 0938.35115
Chen, Zhi-Min
1
1999
A partitioned-modeling approach with moving jump conditions for localization. Zbl 0921.73147
Chen, Z.; Sulsky, D.
1
1995
\(L^ r\) stability of viscous incompressible fluid motions in unbounded domains. Zbl 0808.76017
Chen, Zhimin
1
1994
\(L^ n\) solutions of the stationary and nonstationary Navier-Stokes equations in \(\mathbb{R}^ n\). Zbl 0787.35061
Chen, Zhimin
1
1993
A remark on flow invariance for semilinear parabolic equations. Zbl 0774.35033
Chen, Zhimin
1
1991
Weak formulation of a multidimensional Muskat problem. Zbl 0723.35084
Jiang, Li Shang; Chen, Zhong Xiang
1
1990
A prehomogeneous vector space of characteristic 3. Zbl 0595.20046
Chen, Z.
1
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.
1
1979
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.
6
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
2
2019
A conjecture on the least stable mode for the energy stability of plane parallel flows. Zbl 1430.76172
Xiong, Xiangming; Chen, Zhi-Min
1
2019
Numerical investigation on the water entry of convex objects using a multiphase smoothed particle hydrodynamics model. Zbl 1404.76222
Zou, Li; Zhu, G. X.; Chen, Z.; Pei, Y. G.; Zong, Z.
2
2018
Global well-posedness for \(n\)-dimensional Boussinesq system with viscosity depending on temperature. Zbl 1408.35133
Zhai, Xiaoping; Chen, Zhi-Min
1
2018
Equilibrium states of the Charney-DeVore quasi-geostrophic equation in mid-latitude atmosphere. Zbl 1351.86017
Chen, Zhi-Min; Xiong, Xiangming
2
2016
Commutator estimate in terms of partial derivatives of solutions for the dissipative quasi-geostrophic equation. Zbl 1346.35028
Chen, Jianwen; Chen, Zhi-Min
2
2016
Bifurcating steady-state solutions of the dissipative quasi-geostrophic equation in Lagrangian formulation. Zbl 1353.35231
Chen, Zhi-Min
1
2016
Low-index equilibrium and multiple period-doubling cascades to chaos of atmospheric flow in beta-plane channel. Zbl 1345.34083
Chen, Zhi-Min
1
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.
29
2015
Steady-state bifurcation analysis of a strong nonlinear atmospheric vorticity equation. Zbl 1319.35271
Chen, Zhi-Min
3
2015
Regular wave integral approach to numerical simulation of radiation and diffraction of surface waves. Zbl 07062884
Chen, Zhi-Min
2
2015
Straightforward approximation of the translating and pulsating free surface Green function. Zbl 1302.31010
Chen, Zhi-Min
2
2014
Regular wave integral approach to the prediction of hydrodynamic performance of submerged spheroid. Zbl 07026946
Chen, Zhi-Min
1
2014
Harmonic function expansion for translating Green functions and dissipative free-surface waves. Zbl 1360.74073
Chen, Zhi-Min
5
2013
On the weak-strong uniqueness of the dissipative surface quasi-geostrophic equation. Zbl 1241.35158
Dong, Bo-Qing; Chen, Zhi-Min
9
2012
Stability of oscillatory gravity wave trains with energy dissipation and Benjamin-Feir instability. Zbl 1253.35117
Chen, Zhi-Min; Wilson, Philip A.
1
2012
Pressure regularity criteria of the three-dimensional micropolar fluid flows. Zbl 1219.35189
Dong, Bo-Qing; Jia, Yan; Chen, Zhi-Min
20
2011
On the regularity criteria of the 3D Navier-Stokes equations in critical spaces. Zbl 1240.35382
Dong, Boqing; Gala, Sadek; Chen, Zhimin
8
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.
2
2011
Sloshing simulation of standing wave with time-independent finite difference method for Euler equations. Zbl 1384.76012
Luo, Zhiqiang; Chen, Zhimin
1
2011
Omni-Lie algebroids. Zbl 1210.17003
Chen, Z.; Liu, Z.-J.
16
2010
Stochastic non-Newtonian fluid motion equations of a nonlinear bipolar viscous fluid. Zbl 1200.76009
Chen, Jianwen; Chen, Zhi-Min
3
2010
Spontaneous bending of piezoelectric nanoribbons: mechanics, polarization, and space charge coupling. Zbl 1193.74113
Majidi, C.; Chen, Z.; Srolovitz, D. J.; Haataja, M.
1
2010
Asymptotic profiles of solutions to the 2D viscous incompressible micropolar fluid flows. Zbl 1170.35336
Dong, Bo-Qing; Chen, Zhi-Min
38
2009
Regularity criteria of weak solutions to the three-dimensional micropolar flows. Zbl 1283.76016
Dong, Boqing; Chen, Zhimin
32
2009
Applications of additive sequence of permutations. Zbl 1229.05007
Chen, Z.; Wu, D.; Fan, P.
2
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
10
2008
Stability and instability analyses of the dissipative quasi-geostrophic equation. Zbl 1133.76024
Chen, Zhi-Min; Price, W. G.
6
2008
Smoothing dissimilarities to cluster binary data. Zbl 05565050
Hitchcock, David B.; Chen, Zhimin
1
2008
A remark on regularity criterion for the dissipative quasi-geostrophic equations. Zbl 1154.76339
Dong, Bo-Qing; Chen, Zhi-Min
18
2007
Uniform attractors of non-homogeneous micropolar fluid flows in non-smooth domains. Zbl 1155.37043
Chen, Jianwen; Chen, Zhi-Min; Dong, Bo-Qing
16
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
11
2007
Pullback attractors of non-autonomous micropolar fluid flows. Zbl 1152.37030
Chen, Jianwen; Dong, Bo-Qing; Chen, Zhi-Min
7
2007
Theoretical analysis of the evolution from ignition kernel to flame ball and planar flame. Zbl 1113.80024
Chen, Z.; Ju, Y.
6
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.
5
2007
On (co-)morphisms of Lie pseudoalgebras and groupoids. Zbl 1129.22002
Chen, Z.; Liu, Z.-J.
4
2007
Asymptotic stability of the critical and super-critical dissipative quasi-geostrophic equation. Zbl 1109.76063
Dong, Boqing; Chen, Zhi-Min
18
2006
Global attractors of two-dimensional micropolar fluid flows in some unbounded domains. Zbl 1103.76008
Dong, Boqing; Chen, Zhimin
16
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.
15
2006
Existence of \(H^{2}\)-global attractors of two-dimensional micropolar fluid flows. Zbl 1098.35035
Chen, Jianwen; Chen, Zhi-Min; Dong, Bo-Qing
13
2006
Time decay rates of non-Newtonian flows in \(\mathbf {R}^{n}_{+}\). Zbl 1102.76014
Dong, Bo-Qing; Chen, Zhi-Min
10
2006
On the relation between Rayleigh-Bénard convection and Lorenz system. Zbl 1084.76026
Chen, Zhi-Min; Price, W. G.
10
2006
Linguistic group decision-making: opinion aggregation and measures of consensus. Zbl 1127.68098
Ben-Arieh, D.; Chen, Z.
8
2006
Asymptotic stability of non-Newtonian flows with large perturbation in \(\mathbb{R}^{2}\). Zbl 1138.35380
Dong, Bo-Qing; Chen, Zhi-Min
7
2006
Computing Lyapunov exponents based on the solution expression of the variational system. Zbl 1090.65142
Chen, Z.-M.; Djidjeli, K.; Price, W. G.
6
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
3
2006
Transition to chaos in a fluid motion system. Zbl 1074.76011
Chen, Zhi-Min; Price, W. G.
8
2005
Onset of chaotic Kolmogorov flows resulting from interacting oscillatory modes. Zbl 1127.76024
Chen, Zhi-Min; Price, W. G.
3
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.
3
2005
On transitive Lie bialgebroids and Poisson groupoids. Zbl 1159.58306
Chen, Z.; Liu, Z.-J.
3
2005
Secondary fluid flows driven electromagnetically in a two-dimensional extended duct. Zbl 1139.76316
Chen, Zhi-Min; Price, W. G.
1
2005
Bifurcating periodic solutions of wind-driven circulation equations. Zbl 1063.35028
Chen, Zhi-Min; Price, W. G.
1
2005
Chaotic behavior of a Galerkin model of a two-dimensional flow. Zbl 1080.37093
Chen, Zhi-Min; Price, W. G.
5
2004
Nonstandard discretizations of the generalized Nagumo reaction-diffusion equation. Zbl 1019.65067
Chen, Z.; Gumel, A. B.; Mickens, R. E.
17
2003
Hopf bifurcation in quasi-geostrophic channel flow. Zbl 1126.76327
Chen, Zhi-Min; Ghil, Michael; Simonnet, Eric; Wang, Shouhong
11
2003
A computational model for impact failure with shear-induced dilatancy. Zbl 1038.74615
Chen, Z.; Feng, R.; Xin, X.; Shen, L.
1
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.
1
2003
Supercritical regimes of liquid-metal fluid motions in electromagnetic fields: Wall-bounded flows. Zbl 1015.76030
Chen, Zhi-Min; Price, W. G.
2
2002
Homogeneity criterion for the Navier-Stokes equations in the whole spaces. Zbl 0982.35081
Chen, Zhi Min; Xin, Zhouping
15
2001
Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations. Zbl 1022.35036
Chen, Zhi-Min; Price, W. G.
8
2001
Blow-up rate estimates for weak solutions of the Navier-Stokes equations. Zbl 1009.76015
Chen, Zhi-Min; Price, W. G.
7
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.
1
2001
Steady-state bifurcations of the three-dimensional Kolmogorov problem. Zbl 0947.35105
Chen, Zhi-Min; Wang, Shouhong
2
2000
Remarks on the time dependent periodic Navier-Stokes flows on a two-dimensional torus. Zbl 0969.76016
Chen, Zhimin; Price, W. Geraint
9
1999
Bifurcations of a steady-state solution to the two-dimensional Navier-Stokes equations. Zbl 0943.35061
Chen, Zhi-Min
9
1999
A wide-spectrum language for object-based development of real-time systems. Zbl 0943.68024
Chen, Z.; Zedan, H.; Cau, A.; Yang, H.
1
1999
Hopf bifurcation of the three-dimensional Navier-Stokes equations. Zbl 0938.35115
Chen, Zhi-Min
1
1999
Decay properties of weak solutions to a perturbed Navier-Stokes system in \(\mathbb{R}^n\). Zbl 0893.35092
Chen, Zhimin; Miyakawa, Tetsuro
16
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.
3
1997
Time dependent periodic Navier-Stokes flows on a two-dimensional torus. Zbl 0853.76015
Chen, Zhimin; Price, W. G.
8
1996
A partitioned-modeling approach with moving jump conditions for localization. Zbl 0921.73147
Chen, Z.; Sulsky, D.
1
1995
A particle method for history-dependent materials. Zbl 0851.73078
Sulsky, D.; Chen, Z.; Schreyer, H. L.
109
1994
On nonlocal damage models for interface problems. Zbl 0945.74677
Chen, Z.; Schreyer, H. L.
2
1994
\(L^ r\) stability of viscous incompressible fluid motions in unbounded domains. Zbl 0808.76017
Chen, Zhimin
1
1994
Solutions of the stationary and nonstationary Navier-Stokes equations in exterior domains. Zbl 0787.35062
Chen, Zhimin
12
1993
A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors. Zbl 0783.58044
Chen, Zhi-Min
6
1993
\(L^ n\) solutions of the stationary and nonstationary Navier-Stokes equations in \(\mathbb{R}^ n\). Zbl 0787.35061
Chen, Zhimin
1
1993
Remarks on stability of purely conductive steady states to the exterior Boussinesq problem. Zbl 0777.35055
Chen, Zhimin; Kagei, Yoshiyuki; Miyakawa, Tetsuro
5
1992
A sharp decay result on strong solutions of the Navier-Stokes equations in the whole space. Zbl 0741.35056
Chen, Zhi-Min
7
1991
A remark on flow invariance for semilinear parabolic equations. Zbl 0774.35033
Chen, Zhimin
1
1991
Long time small solutions to nonlinear parabolic equations. Zbl 0733.35061
Chen, Zhimin
2
1990
Weak formulation of a multidimensional Muskat problem. Zbl 0723.35084
Jiang, Li Shang; Chen, Zhong Xiang
1
1990
A general failure criterion for plain concrete. Zbl 0609.73067
Boswell, L. F.; Chen, Z.
2
1987
A prehomogeneous vector space of characteristic 3. Zbl 0595.20046
Chen, Z.
1
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.
1
1979
all top 5

Cited by 860 Authors

33 Chen, Zhimin
27 Dong, Boqing
15 Jia, Yan
11 Price, W. Geraint
11 Zhao, Caidi
9 Sulsky, Deborah L.
9 Zhang, Xiong
8 Gala, Sadek
8 Guilkey, James E.
8 Liu, Zhangju
7 Chen, Zhen
7 Hishida, Toshiaki
6 Brannon, Rebecca M.
6 Lian, Yanping
6 Ragusa, Maria Alessandra
6 Sheng, Yunhe
5 Bardenhagen, Scott G.
5 Liu, Guowei
5 Nairn, John A.
5 Wang, Yinxia
5 Wu, Jiahong
5 Yuan, Baoquan
4 Berzins, Martin
4 Chen, Zheng
4 Chen, Zhuo
4 Guterres, Robert H.
4 Nunes, Juliana R.
4 Perusato, Cilon F.
4 Roh, Jaiok
4 Schreyer, Howard L.
4 Shang, Haifeng
4 Smaoui, Nejib
4 Sun, Wenlong
4 Wang, Yuzhu
4 Yamazaki, Kazuo
4 Ye, Zhuan
4 Zhang, Hongwu
4 Zhao, Jihong
4 Zhu, Luoding
3 An, Rong
3 Augarde, Charles Edward
3 Charlton, Tim J.
3 Chen, Zhenpeng
3 Coombs, William M.
3 Kim, Sun-Chul
3 Komo, Christian
3 Liu, Qiao
3 Łukaszewicz, Grzegorz
3 Ming, Furen
3 Okamoto, Hisashi
3 Qiu, XinMing
3 Stainier, Laurent
3 Sun, Pengnan
3 Sze, Kam-Yim
3 Tian, Rong
3 Vitagliano, Luca
3 Wallstedt, P. C.
3 Wang, Huimin
3 Weinstein, Alan David
3 Xiang, Zhaoyin
3 Xie, Qianqian
3 Xu, Yejun
3 Zhang, Aman
3 Zhang, Duanzhi
3 Zhang, Wenliang
3 Zhang, Xingwei
3 Zhang, Zujin
3 Zheng, Yonggang
3 Zhou, Shengfan
3 Zong, Zhi
3 Zribi, Mohamed
2 Arranz Carreño, Aurelio
2 Bae, Hyeong-Ohk
2 Belghith, Safya
2 Benseridi, Hamid
2 Bi, Yanhui
2 Bonet, Javier
2 Borja, Ronaldo I.
2 Brackbill, Jeremiah U.
2 Breit, Dominic
2 Brennan, Andrew J.
2 Brown, Michael J.
2 Brydon, A. D.
2 Burghardt, Jeff
2 Cattaneo, Alberto Sergio
2 Chen, Jianwen
2 Chen, Jiun-Shyan
2 Chen, Rong
2 Constantin, Peter
2 Cortis, Michael
2 Dhakal, Tilak R.
2 Dhar, Anirban
2 Dherin, Benoit
2 Dong, Hongjie
2 Duan, Guangtao
2 Fahrenthold, Eric P.
2 Fan, Jiang
2 Farajpour, Ali
2 Farokhi, Hamed
2 Galvis, Andres F.
...and 760 more Authors
all top 5

Cited in 154 Serials

50 Computer Methods in Applied Mechanics and Engineering
23 Journal of Mathematical Analysis and Applications
18 Journal of Computational Physics
18 Applied Mathematics and Computation
13 International Journal for Numerical Methods in Engineering
13 Abstract and Applied Analysis
12 Nonlinear Analysis. Real World Applications
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Chaos, Solitons and Fractals
10 Journal of Differential Equations
10 Engineering Analysis with Boundary Elements
10 Boundary Value Problems
9 International Journal of Computational Methods
8 Journal of Fluid Mechanics
8 Applied Mathematics Letters
7 Computers & Mathematics with Applications
7 Computational Mechanics
6 Applicable Analysis
6 International Journal of Engineering Science
6 Journal of Mathematical Physics
6 Journal of Mathematical Fluid Mechanics
5 Archive for Rational Mechanics and Analysis
5 Computers and Fluids
5 Applied Mathematical Modelling
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Chaos
5 Communications in Nonlinear Science and Numerical Simulation
4 Communications in Mathematical Physics
4 Mathematical Methods in the Applied Sciences
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Journal of Geometry and Physics
4 Journal of Functional Analysis
4 Acta Mathematicae Applicatae Sinica. English Series
4 Journal of Difference Equations and Applications
4 European Journal of Mechanics. A. Solids
3 International Journal of Solids and Structures
3 Nonlinearity
3 Information Sciences
3 Transactions of the American Mathematical Society
3 SIAM Journal on Applied Mathematics
3 Discrete and Continuous Dynamical Systems
3 Mathematical Problems in Engineering
3 Computational Geosciences
3 Science China. Mathematics
2 Journal of Engineering Mathematics
2 Journal of the Mechanics and Physics of Solids
2 Wave Motion
2 Archiv der Mathematik
2 Proceedings of the American Mathematical Society
2 Zeitschrift für Analysis und ihre Anwendungen
2 Physica D
2 Science in China. Series A
2 International Journal of Mathematics
2 International Journal of Computer Mathematics
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of Applied Mathematics
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Bulletin of the Brazilian Mathematical Society. New Series
2 International Journal of Fracture
2 Acta Mechanica Sinica
2 Frontiers of Mathematics in China
2 Nonlinear Analysis. Theory, Methods & Applications
1 Communications in Algebra
1 Computer Physics Communications
1 Discrete Mathematics
1 International Journal of Heat and Mass Transfer
1 International Journal for Numerical Methods in Fluids
1 International Journal of Plasticity
1 Journal of the Franklin Institute
1 Journal of Statistical Physics
1 Reports on Mathematical Physics
1 Acta Mathematica
1 Applied Mathematics and Optimization
1 Journal of Computational and Applied Mathematics
1 Journal of the Mathematical Society of Japan
1 Journal of Pure and Applied Algebra
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Meccanica
1 Monatshefte für Mathematik
1 Numerical Functional Analysis and Optimization
1 Pacific Journal of Mathematics
1 Rendiconti del Seminario Matematico della Università di Padova
1 Results in Mathematics
1 Tohoku Mathematical Journal. Second Series
1 Applied Mathematics and Mechanics. (English Edition)
1 Chinese Annals of Mathematics. Series B
1 Acta Applicandae Mathematicae
1 Annals of Global Analysis and Geometry
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 ACM Transactions on Graphics
1 Computers & Operations Research
1 Numerical Methods for Partial Differential Equations
1 Mathematical and Computer Modelling
1 Journal of Scientific Computing
1 Japan Journal of Industrial and Applied Mathematics
1 Applications of Mathematics
1 Journal of Elasticity
1 Journal of Non-Newtonian Fluid Mechanics
...and 54 more Serials
all top 5

Cited in 37 Fields

261 Fluid mechanics (76-XX)
229 Partial differential equations (35-XX)
108 Mechanics of deformable solids (74-XX)
82 Numerical analysis (65-XX)
33 Dynamical systems and ergodic theory (37-XX)
22 Geophysics (86-XX)
18 Differential geometry (53-XX)
11 Ordinary differential equations (34-XX)
11 Classical thermodynamics, heat transfer (80-XX)
10 Nonassociative rings and algebras (17-XX)
10 Biology and other natural sciences (92-XX)
8 Mechanics of particles and systems (70-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Systems theory; control (93-XX)
6 Probability theory and stochastic processes (60-XX)
6 Optics, electromagnetic theory (78-XX)
5 Computer science (68-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Functions of a complex variable (30-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Operations research, mathematical programming (90-XX)
3 Operator theory (47-XX)
3 Information and communication theory, circuits (94-XX)
2 Combinatorics (05-XX)
2 Difference and functional equations (39-XX)
2 Functional analysis (46-XX)
2 Algebraic topology (55-XX)
2 Statistics (62-XX)
1 Mathematical logic and foundations (03-XX)
1 Algebraic geometry (14-XX)
1 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Quantum theory (81-XX)

Citations by Year