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## Zhao, Caidi

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 Author ID: zhao.caidi Published as: Zhao, Caidi; Zhao, C.; Zhao, Cai Di; Zhao, Cai-Di; Zhao, caidi; Zhao, CaiDi
 Documents Indexed: 96 Publications since 1995 Reviewing Activity: 34 Reviews
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#### Co-Authors

 9 single-authored 27 Zhou, Shengfan 13 Li, Yongsheng 6 Caraballo Garrido, Tomás 6 Wang, Weiming 5 Li, Yanjiao 5 Liu, Guowei 4 Jia, Xiaolin 4 Liang, Yunyun 4 Yang, Xinbo 4 Zhang, Mingshu 4 Zhu, Zeqi 3 Cao, Juan 3 Duan, Jinqiao 3 Hsu, Cheng-Hsiung 3 Li, Bei 3 Li, Chunqiu 3 Łukaszewicz, Grzegorz 3 Yang, Ling 3 Zhao, Min 2 Cai, Yongli 2 Dong, Boqing 2 Li, Chujin 2 Liao, Xinyuan 2 Lin, Jian Jhong 2 Sang, Yanmiao 2 Song, Zhongchun 2 Sun, Wenlong 2 Wang, Chengzhi 2 Xue, Gang 2 You, Yuncheng 2 Zhu, Hongjin 1 An, Rong 1 Casazza, Peter George 1 Chen, Tao 1 Dendrinos, Dimitrios S. 1 Du, Guangyin 1 Guo, Zhengguang 1 Jiang, Huite 1 Kong, Lei 1 Lesnic, Daniel 1 Li, Liangpan 1 Li, Yongjun 1 Lian, Xinze 1 Qin, Xiaohong 1 Tomas, Caraballo 1 Wang, Jinfeng 1 Wang, Jintao 1 Wang, Yejuan 1 Wu, Heling 1 Xu, Mingyue 1 Yang, Ting-Hui 1 Ying, Yulin 1 Zhang, Linghai 1 Zhao, Mei 1 Zhou, Shenfan 1 Zhu, Zheqi
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#### Serials

 10 Applied Mathematics and Computation 7 Acta Mathematica Scientia. Series A. (Chinese Edition) 5 Journal of Differential Equations 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Discrete and Continuous Dynamical Systems 5 Acta Mathematica Scientia. Series B. (English Edition) 4 Journal of Mathematical Analysis and Applications 3 Journal of Mathematical Physics 3 Applied Mathematics Letters 3 Nonlinear Analysis. Real World Applications 3 Acta Mathematica Sinica. Chinese Series 2 Nonlinearity 2 Abstract and Applied Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications in Mathematical Sciences 2 Dynamics of Partial Differential Equations 2 Journal of Applied Analysis and Computation 1 IEEE Transactions on Information Theory 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Computational and Applied Mathematics 1 Quarterly of Applied Mathematics 1 Acta Mathematicae Applicatae Sinica 1 Chinese Annals of Mathematics. Series A 1 Acta Mathematicae Applicatae Sinica. English Series 1 Annals of Differential Equations 1 Mathematical and Computer Modelling 1 Mathematica Applicata 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Difference Equations and Applications 1 Differential Equations and Dynamical Systems 1 Chinese Quarterly Journal of Mathematics 1 Discrete Dynamics in Nature and Society 1 Journal of Mathematical Fluid Mechanics 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Acta Analysis Functionalis Applicata. AAFA 1 Journal of Evolution Equations 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Communications on Pure and Applied Analysis 1 Journal of Zhejiang Normal University. Natural Sciences 1 Frontiers of Mathematics in China 1 Science China. Mathematics
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#### Fields

 81 Partial differential equations (35-XX) 46 Fluid mechanics (76-XX) 29 Dynamical systems and ergodic theory (37-XX) 16 Ordinary differential equations (34-XX) 4 Difference and functional equations (39-XX) 3 Numerical analysis (65-XX) 3 Computer science (68-XX) 3 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

76 Publications have been cited 646 times in 292 Documents Cited by Year
Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applications. Zbl 1192.37106
Zhao, Caidi; Zhou, Shengfan
2009
Pullback attractors for a non-autonomous incompressible non-Newtonian fluid. Zbl 1152.35012
Zhao, Caidi; Zhou, Shengfan
2007
$$H^{2}$$-compact attractor for a non-Newtonian system in two-dimensional unbounded domains. Zbl 1073.35044
Zhao, Caidi; Li, Yongsheng
2004
Compact uniform attractors for dissipative lattice dynamical systems with delays. Zbl 1153.37037
Zhao, Caidi; Zhou, Shengfan
2008
Compact kernel sections for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. Zbl 1113.37057
Zhao, Caidi; Zhou, Shengfan
2007
Upper bound of decay rate for solutions to the Navier-Stokes-Voigt equations in $$\mathbb{R}^3$$. Zbl 1338.35378
Zhao, Caidi; Zhu, Hongjin
2015
Attractors of retarded first order lattice systems. Zbl 1130.34053
Zhao, Caidi; Zhou, Shengfan
2007
Regularity of trajectory attractor and upper semicontinuity of global attractor for a 2D non-Newtonian fluid. Zbl 1182.35048
Zhao, Caidi; Li, Yongsheng; Zhou, Shengfan
2009
Zhao, Caidi; Duan, Jinqiao
2010
Global attractor and Kolmogorov entropy of three component reversible Gray-Scott model on infinite lattices. Zbl 1264.34018
Jia, Xiaolin; Zhao, Caidi; Yang, Xinbo
2012
Trajectory attractor and global attractor for a two-dimensional incompressible non-Newtonian fluid. Zbl 1112.35032
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2007
Dynamics of a Leslie-Gower predator-prey model with additive Allee effect. Zbl 1443.92149
Cai, Yongli; Zhao, Caidi; Wang, Weiming; Wang, Jinfeng
2015
Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier-Stokes equations. Zbl 1411.35051
Zhao, Caidi; Caraballo, Tomás
2019
Compact uniform attractors for dissipative non-autonomous lattice dynamical systems. Zbl 1136.37043
Zhou, Shenfan; Zhao, Caidi; Liao, Xinyuan
2007
Upper and lower bounds of time decay rate of solutions to a class of incompressible third grade fluid equations. Zbl 1297.35194
Zhao, Caidi; Liang, Yunyun; Zhao, Min
2014
Pullback attractors and invariant measures for the non-autonomous globally modified Navier-Stokes equations. Zbl 1391.35073
Zhao, Caidi; Yang, Ling
2017
A note on the asymptotic smoothing effect of solutions to a non-Newtonian system in 2-D unbounded domains. Zbl 1058.35047
Zhao, Caidi; Li, Yongsheng
2005
Pullback attractors and invariant measures for discrete Klein-Gordon-Schrödinger equations. Zbl 1415.35059
Zhao, Caidi; Xue, Gang; Łukaszewicz, Grzegorz
2018
Dynamics of the discrete coupled nonlinear Schrödinger-Boussinesq equations. Zbl 1291.39019
Yang, Xinbo; Zhao, Caidi; Cao, Juan
2013
Smooth pullback attractors for a non-autonomous 2D non-Newtonian fluid and their tempered behaviors. Zbl 1293.35051
Zhao, Caidi; Liu, Guowei; Wang, Weiming
2014
Compact kernel sections for lattice systems with delays. Zbl 1169.34055
Zhao, Caidi; Zhou, Shengfan; Wang, Weiming
2009
Finite dimensionality and upper semicontinuity of compact kernel sections of non-autonomous lattice systems. Zbl 1148.37040
Zhou, Shengfan; Zhao, Caidi; Wang, Yejuan
2008
Pullback dynamical behaviors of the non-autonomous micropolar fluid flows. Zbl 1327.35042
Zhao, Caidi; Sun, Wenlong; Hsu, Cheng Hsiung
2015
Global dynamics and traveling wave solutions of two predators-one prey models. Zbl 1348.37124
Lin, Jian-Jhong; Wang, Weiming; Zhao, Caidi; Yang, Ting-Hui
2015
$$L^2$$-compact uniform attractors for a nonautonomous incompressible non-Newtonian fluid with locally uniformly integrable external forces in distribution space. Zbl 1137.37332
Zhao, Caidi; Zhou, Shengfan
2007
The existence of uniform attractors for 3D Brinkman-Forchheimer equations. Zbl 1252.35083
You, Yuncheng; Zhao, Caidi; Zhou, Shengfan
2012
Compact kernel sections of long-wave-short-wave resonance equations on infinite lattices. Zbl 1133.34031
Zhao, Caidi; Zhou, Shengfan
2008
Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations. Zbl 1425.37047
Zhao, Caidi; Song, Zhongchun; Caraballo, Tomás
2020
Approximation of the incompressible convective Brinkman-Forchheimer equations. Zbl 1259.35170
Zhao, Caidi; You, Yuncheng
2012
$$H^1$$-uniform attractor and asymptotic smoothing effect of solutions for a nonautonomous micropolar fluid flow in 2D unbounded domains. Zbl 1192.37105
Zhao, Caidi; Zhou, Shengfan; Lian, Xinze
2008
Pullback trajectory attractors for evolution equations and application to 3D incompressible non-Newtonian fluid. Zbl 1163.35327
Zhao, Caidi; Zhou, Shengfan
2008
The trajectory attractor and its limiting behavior for the convective Brinkman-Forchheimer equations. Zbl 1362.35056
Zhao, Caidi; Kong, Lei; Liu, Guowei; Zhao, Min
2014
Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications. Zbl 1436.35050
Zhao, Caidi; Li, Yanjiao; Caraballo, Tomás
2020
Existence and regularity of pullback attractors for an incompressible non-Newtonian fluid with delays. Zbl 1180.35128
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2009
Pullback attractor and invariant measures for the three-dimensional regularized MHD equations. Zbl 1397.35039
Zhu, Zeqi; Zhao, Caidi
2018
Trajectory statistical solutions for the 3D Navier-Stokes equations: the trajectory attractor approach. Zbl 1433.35249
Zhao, Caidi; Li, Yanjiao; Song, Zhongchun
2020
Global well-posedness and pullback attractors for a two-dimensional non-autonomous micropolar fluid flows with infinite delays. Zbl 1360.35153
Zhao, Caidi; Sun, Wenlong
2017
Perturbation of regular sampling in shift-invariant spaces for frames. Zbl 1310.94056
Zhao, P.; Zhao, C.; Casazza, P. G.
2006
Upper semicontinuity of attractors for lattice systems under singular perturbations. Zbl 1189.34021
Zhao, Caidi; Zhou, Shengfan
2010
Pullback asymptotic behavior of solutions for a non-autonomous non-Newtonian fluid on two-dimensional unbounded domains. Zbl 1331.76020
Zhao, Caidi
2012
Limiting behavior of a global attractor for lattice nonclassical parabolic equations. Zbl 1260.37053
Zhao, Caidi; Zhou, Shengfan
2007
Limit behavior of global attractors for the complex Ginzburg-Landau equation on infinite lattices. Zbl 1138.37048
Zhao, Caidi; Zhou, Shengfan
2008
Global attractors for the discrete Klein-Gordon-Schrödinger type equations. Zbl 1304.35121
Li, Chunqiu; Hsu, Cheng Hsiung; Lin, Jian Jhong; Zhao, Caidi
2014
Invariant Borel probability measures for discrete long-wave-short-wave resonance equations. Zbl 1428.35053
Wang, Chengzhi; Xue, Gang; Zhao, Caidi
2018
Spatiotemporal complexity of a Leslie-Gower predator-prey model with the weak Allee effect. Zbl 1397.92563
Cai, Yongli; Zhao, Caidi; Wang, Weiming
2013
Time decay rate of solutions to the hyperbolic MHD equations in $$\mathbb{R}^3$$. Zbl 1374.35313
Li, Bei; Zhu, Hongjin; Zhao, Caidi
2016
Algorithmization formula and mechanization to Cauchy problem of high dimensional wave equation. Zbl 1080.65101
Zhao, Caidi
2005
Attractors for discrete nonlinear Schrödinger equation with delay. Zbl 1221.39004
Chen, Tao; Zhou, Sheng-Fan; Zhao, Cai-Di
2010
Approximation of the incompressible non-Newtonian fluid equations by the artificial compressibility method. Zbl 1267.35171
Zhao, Caidi
2013
$$H^4$$-boundedness of pullback attractor for a 2D non-Newtonian fluid flow. Zbl 1315.35172
Liu, Guowei; Zhao, Caidi; Cao, Juan
2013
Time decay rate of weak solutions to the generalized MHD equations in $$\mathbb{R}^2$$. Zbl 1410.76477
Zhao, Caidi; Li, Bei
2017
Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays. Zbl 1454.35262
Wang, Jintao; Zhao, Caidi; Caraballo, Tomás
2020
Compact kernel sections and Kolmogorov entropy for the lattice Zakharov equations with a quantum correction. Zbl 1324.35172
Liang, Yunyun; Li, Chujin; Zhao, Caidi
2014
Algorithm and mechanization to Cauchy problem of parabolic equation. Zbl 1080.65102
Zhao, Caidi
2005
Uniform attractors for nonautonomous incompressible non-Newtonian fluid with locally uniform integrable external forces. Zbl 1111.35047
Zhao, Caidi; Zhou, Shengfan; Liao, Xinyuan
2006
Global attractor for a system of the non-Newtonian incompressible fluid in 2D unbounded domains. Zbl 1053.35117
Li, Yongsheng; Zhao, Caidi
2002
Global well-posedness and pullback attractors for an incompressible non-Newtonian fluid with infinite delays. Zbl 1361.35136
Zhao, Caidi; Liu, Guowei; An, Rong
2017
Convergence of global attractors of a 2D non-Newtonian system to the global attractor of the 2D Navier-Stokes system. Zbl 1280.35102
Zhao, CaiDi; Duan, JinQiao
2013
Analyticity of the global attractor for the 3D regularized MHD equations. Zbl 1383.35179
Zhao, Caidi; Li, Bei
2016
Algorithm and mechanization to Cauchy problem of wave equation with linear damping and source terms. Zbl 1092.65078
Zhao, Caidi
2006
A note on nonautonomous Klein-Gordon-Schrödinger equations with homogeneous Dirichlet boundary condition. Zbl 1199.35361
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2008
Sufficient conditions for the existence of exponential attractors for lattice systems and applications. Zbl 1224.35044
Zhao, Caidi; Zhou, Shengfan
2010
A random attractor for a two-dimensional incompressible non-Newtonian fluid with multiplicative noise. Zbl 1240.35059
Zhao, Caidi; Li, Yongsheng; Zhou, Shengfan
2011
Upper semicontinuity of global attractors for 2D Navier-Stokes equations. Zbl 1270.35356
Zhao, Caidi; Duan, Jinqiao
2012
Uniform attractor of the non-autonomous discrete Selkov model. Zbl 1309.37073
Jia, Xiaolin; Zhao, Caidi; Cao, Juan
2014
Theorems about the attractor for incompressible non-Newtonian flow driven by external forces that are rapidly oscillating in time but have a smooth average. Zbl 1165.35329
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2008
Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid. Zbl 1143.76010
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2008
Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations. Zbl 1459.35060
Zhao, Caidi; Caraballo, Tomás; Łukaszewicz, Grzegorz
2021
Pullback attractors and invariant measures for the discrete Zakharov equations. Zbl 1462.37087
Zhu, Zeqi; Sang, Yanmiao; Zhao, Caidi
2019
Statistical solution and partial degenerate regularity for the 2D non-autonomous magneto-micropolar fluids. Zbl 1467.35267
Zhao, Caidi; Li, Yanjiao; Łukaszewicz, Grzegorz
2020
Trajectory attractor for a class of three-dimensional incompressible non-Newtonian fluids. Zbl 1340.35281
Zhao, Caidi; Wu, Heling; Li, Chujin
2015
Finite fractal dimension of kernel sections for long-wave-short-wave resonance equations on infinite lattices. Zbl 1349.37079
Liang, Yunyun; Zhu, Zeqi; Zhao, Mei; Zhao, caidi
2015
Dynamics of non-autonomous equations of non-Newtonian fluid on 2D unbounded domains. Zbl 1282.35085
Zhao, Caidi
2013
Asymptotic smoothing effect of solutions to Davey-Stewartson systems on the whole plane. Zbl 1135.35019
Zhao, Cai Di; Li, Yong Sheng; Zhou, Sheng Fan
2007
Finite dimensionality and upper semicontinuity of kernel sections for the discrete Zakharov equations. Zbl 1358.34020
Liang, Yunyun; Guo, Zhengguang; Ying, Yulin; Zhao, Caidi
2017
Pullback exponential attractors for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. Zbl 1470.34146
Li, Chunqiu; Zhao, Min; Zhao, Caidi
2013
Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations. Zbl 1459.35060
Zhao, Caidi; Caraballo, Tomás; Łukaszewicz, Grzegorz
2021
Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations. Zbl 1425.37047
Zhao, Caidi; Song, Zhongchun; Caraballo, Tomás
2020
Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications. Zbl 1436.35050
Zhao, Caidi; Li, Yanjiao; Caraballo, Tomás
2020
Trajectory statistical solutions for the 3D Navier-Stokes equations: the trajectory attractor approach. Zbl 1433.35249
Zhao, Caidi; Li, Yanjiao; Song, Zhongchun
2020
Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays. Zbl 1454.35262
Wang, Jintao; Zhao, Caidi; Caraballo, Tomás
2020
Statistical solution and partial degenerate regularity for the 2D non-autonomous magneto-micropolar fluids. Zbl 1467.35267
Zhao, Caidi; Li, Yanjiao; Łukaszewicz, Grzegorz
2020
Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier-Stokes equations. Zbl 1411.35051
Zhao, Caidi; Caraballo, Tomás
2019
Pullback attractors and invariant measures for the discrete Zakharov equations. Zbl 1462.37087
Zhu, Zeqi; Sang, Yanmiao; Zhao, Caidi
2019
Pullback attractors and invariant measures for discrete Klein-Gordon-Schrödinger equations. Zbl 1415.35059
Zhao, Caidi; Xue, Gang; Łukaszewicz, Grzegorz
2018
Pullback attractor and invariant measures for the three-dimensional regularized MHD equations. Zbl 1397.35039
Zhu, Zeqi; Zhao, Caidi
2018
Invariant Borel probability measures for discrete long-wave-short-wave resonance equations. Zbl 1428.35053
Wang, Chengzhi; Xue, Gang; Zhao, Caidi
2018
Pullback attractors and invariant measures for the non-autonomous globally modified Navier-Stokes equations. Zbl 1391.35073
Zhao, Caidi; Yang, Ling
2017
Global well-posedness and pullback attractors for a two-dimensional non-autonomous micropolar fluid flows with infinite delays. Zbl 1360.35153
Zhao, Caidi; Sun, Wenlong
2017
Time decay rate of weak solutions to the generalized MHD equations in $$\mathbb{R}^2$$. Zbl 1410.76477
Zhao, Caidi; Li, Bei
2017
Global well-posedness and pullback attractors for an incompressible non-Newtonian fluid with infinite delays. Zbl 1361.35136
Zhao, Caidi; Liu, Guowei; An, Rong
2017
Finite dimensionality and upper semicontinuity of kernel sections for the discrete Zakharov equations. Zbl 1358.34020
Liang, Yunyun; Guo, Zhengguang; Ying, Yulin; Zhao, Caidi
2017
Time decay rate of solutions to the hyperbolic MHD equations in $$\mathbb{R}^3$$. Zbl 1374.35313
Li, Bei; Zhu, Hongjin; Zhao, Caidi
2016
Analyticity of the global attractor for the 3D regularized MHD equations. Zbl 1383.35179
Zhao, Caidi; Li, Bei
2016
Upper bound of decay rate for solutions to the Navier-Stokes-Voigt equations in $$\mathbb{R}^3$$. Zbl 1338.35378
Zhao, Caidi; Zhu, Hongjin
2015
Dynamics of a Leslie-Gower predator-prey model with additive Allee effect. Zbl 1443.92149
Cai, Yongli; Zhao, Caidi; Wang, Weiming; Wang, Jinfeng
2015
Pullback dynamical behaviors of the non-autonomous micropolar fluid flows. Zbl 1327.35042
Zhao, Caidi; Sun, Wenlong; Hsu, Cheng Hsiung
2015
Global dynamics and traveling wave solutions of two predators-one prey models. Zbl 1348.37124
Lin, Jian-Jhong; Wang, Weiming; Zhao, Caidi; Yang, Ting-Hui
2015
Trajectory attractor for a class of three-dimensional incompressible non-Newtonian fluids. Zbl 1340.35281
Zhao, Caidi; Wu, Heling; Li, Chujin
2015
Finite fractal dimension of kernel sections for long-wave-short-wave resonance equations on infinite lattices. Zbl 1349.37079
Liang, Yunyun; Zhu, Zeqi; Zhao, Mei; Zhao, caidi
2015
Upper and lower bounds of time decay rate of solutions to a class of incompressible third grade fluid equations. Zbl 1297.35194
Zhao, Caidi; Liang, Yunyun; Zhao, Min
2014
Smooth pullback attractors for a non-autonomous 2D non-Newtonian fluid and their tempered behaviors. Zbl 1293.35051
Zhao, Caidi; Liu, Guowei; Wang, Weiming
2014
The trajectory attractor and its limiting behavior for the convective Brinkman-Forchheimer equations. Zbl 1362.35056
Zhao, Caidi; Kong, Lei; Liu, Guowei; Zhao, Min
2014
Global attractors for the discrete Klein-Gordon-Schrödinger type equations. Zbl 1304.35121
Li, Chunqiu; Hsu, Cheng Hsiung; Lin, Jian Jhong; Zhao, Caidi
2014
Compact kernel sections and Kolmogorov entropy for the lattice Zakharov equations with a quantum correction. Zbl 1324.35172
Liang, Yunyun; Li, Chujin; Zhao, Caidi
2014
Uniform attractor of the non-autonomous discrete Selkov model. Zbl 1309.37073
Jia, Xiaolin; Zhao, Caidi; Cao, Juan
2014
Dynamics of the discrete coupled nonlinear Schrödinger-Boussinesq equations. Zbl 1291.39019
Yang, Xinbo; Zhao, Caidi; Cao, Juan
2013
Spatiotemporal complexity of a Leslie-Gower predator-prey model with the weak Allee effect. Zbl 1397.92563
Cai, Yongli; Zhao, Caidi; Wang, Weiming
2013
Approximation of the incompressible non-Newtonian fluid equations by the artificial compressibility method. Zbl 1267.35171
Zhao, Caidi
2013
$$H^4$$-boundedness of pullback attractor for a 2D non-Newtonian fluid flow. Zbl 1315.35172
Liu, Guowei; Zhao, Caidi; Cao, Juan
2013
Convergence of global attractors of a 2D non-Newtonian system to the global attractor of the 2D Navier-Stokes system. Zbl 1280.35102
Zhao, CaiDi; Duan, JinQiao
2013
Dynamics of non-autonomous equations of non-Newtonian fluid on 2D unbounded domains. Zbl 1282.35085
Zhao, Caidi
2013
Pullback exponential attractors for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. Zbl 1470.34146
Li, Chunqiu; Zhao, Min; Zhao, Caidi
2013
Global attractor and Kolmogorov entropy of three component reversible Gray-Scott model on infinite lattices. Zbl 1264.34018
Jia, Xiaolin; Zhao, Caidi; Yang, Xinbo
2012
The existence of uniform attractors for 3D Brinkman-Forchheimer equations. Zbl 1252.35083
You, Yuncheng; Zhao, Caidi; Zhou, Shengfan
2012
Approximation of the incompressible convective Brinkman-Forchheimer equations. Zbl 1259.35170
Zhao, Caidi; You, Yuncheng
2012
Pullback asymptotic behavior of solutions for a non-autonomous non-Newtonian fluid on two-dimensional unbounded domains. Zbl 1331.76020
Zhao, Caidi
2012
Upper semicontinuity of global attractors for 2D Navier-Stokes equations. Zbl 1270.35356
Zhao, Caidi; Duan, Jinqiao
2012
A random attractor for a two-dimensional incompressible non-Newtonian fluid with multiplicative noise. Zbl 1240.35059
Zhao, Caidi; Li, Yongsheng; Zhou, Shengfan
2011
Zhao, Caidi; Duan, Jinqiao
2010
Upper semicontinuity of attractors for lattice systems under singular perturbations. Zbl 1189.34021
Zhao, Caidi; Zhou, Shengfan
2010
Attractors for discrete nonlinear Schrödinger equation with delay. Zbl 1221.39004
Chen, Tao; Zhou, Sheng-Fan; Zhao, Cai-Di
2010
Sufficient conditions for the existence of exponential attractors for lattice systems and applications. Zbl 1224.35044
Zhao, Caidi; Zhou, Shengfan
2010
Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applications. Zbl 1192.37106
Zhao, Caidi; Zhou, Shengfan
2009
Regularity of trajectory attractor and upper semicontinuity of global attractor for a 2D non-Newtonian fluid. Zbl 1182.35048
Zhao, Caidi; Li, Yongsheng; Zhou, Shengfan
2009
Compact kernel sections for lattice systems with delays. Zbl 1169.34055
Zhao, Caidi; Zhou, Shengfan; Wang, Weiming
2009
Existence and regularity of pullback attractors for an incompressible non-Newtonian fluid with delays. Zbl 1180.35128
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2009
Compact uniform attractors for dissipative lattice dynamical systems with delays. Zbl 1153.37037
Zhao, Caidi; Zhou, Shengfan
2008
Finite dimensionality and upper semicontinuity of compact kernel sections of non-autonomous lattice systems. Zbl 1148.37040
Zhou, Shengfan; Zhao, Caidi; Wang, Yejuan
2008
Compact kernel sections of long-wave-short-wave resonance equations on infinite lattices. Zbl 1133.34031
Zhao, Caidi; Zhou, Shengfan
2008
$$H^1$$-uniform attractor and asymptotic smoothing effect of solutions for a nonautonomous micropolar fluid flow in 2D unbounded domains. Zbl 1192.37105
Zhao, Caidi; Zhou, Shengfan; Lian, Xinze
2008
Pullback trajectory attractors for evolution equations and application to 3D incompressible non-Newtonian fluid. Zbl 1163.35327
Zhao, Caidi; Zhou, Shengfan
2008
Limit behavior of global attractors for the complex Ginzburg-Landau equation on infinite lattices. Zbl 1138.37048
Zhao, Caidi; Zhou, Shengfan
2008
A note on nonautonomous Klein-Gordon-Schrödinger equations with homogeneous Dirichlet boundary condition. Zbl 1199.35361
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2008
Theorems about the attractor for incompressible non-Newtonian flow driven by external forces that are rapidly oscillating in time but have a smooth average. Zbl 1165.35329
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2008
Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid. Zbl 1143.76010
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2008
Pullback attractors for a non-autonomous incompressible non-Newtonian fluid. Zbl 1152.35012
Zhao, Caidi; Zhou, Shengfan
2007
Compact kernel sections for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. Zbl 1113.37057
Zhao, Caidi; Zhou, Shengfan
2007
Attractors of retarded first order lattice systems. Zbl 1130.34053
Zhao, Caidi; Zhou, Shengfan
2007
Trajectory attractor and global attractor for a two-dimensional incompressible non-Newtonian fluid. Zbl 1112.35032
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2007
Compact uniform attractors for dissipative non-autonomous lattice dynamical systems. Zbl 1136.37043
Zhou, Shenfan; Zhao, Caidi; Liao, Xinyuan
2007
$$L^2$$-compact uniform attractors for a nonautonomous incompressible non-Newtonian fluid with locally uniformly integrable external forces in distribution space. Zbl 1137.37332
Zhao, Caidi; Zhou, Shengfan
2007
Limiting behavior of a global attractor for lattice nonclassical parabolic equations. Zbl 1260.37053
Zhao, Caidi; Zhou, Shengfan
2007
Asymptotic smoothing effect of solutions to Davey-Stewartson systems on the whole plane. Zbl 1135.35019
Zhao, Cai Di; Li, Yong Sheng; Zhou, Sheng Fan
2007
Perturbation of regular sampling in shift-invariant spaces for frames. Zbl 1310.94056
Zhao, P.; Zhao, C.; Casazza, P. G.
2006
Uniform attractors for nonautonomous incompressible non-Newtonian fluid with locally uniform integrable external forces. Zbl 1111.35047
Zhao, Caidi; Zhou, Shengfan; Liao, Xinyuan
2006
Algorithm and mechanization to Cauchy problem of wave equation with linear damping and source terms. Zbl 1092.65078
Zhao, Caidi
2006
A note on the asymptotic smoothing effect of solutions to a non-Newtonian system in 2-D unbounded domains. Zbl 1058.35047
Zhao, Caidi; Li, Yongsheng
2005
Algorithmization formula and mechanization to Cauchy problem of high dimensional wave equation. Zbl 1080.65101
Zhao, Caidi
2005
Algorithm and mechanization to Cauchy problem of parabolic equation. Zbl 1080.65102
Zhao, Caidi
2005
$$H^{2}$$-compact attractor for a non-Newtonian system in two-dimensional unbounded domains. Zbl 1073.35044
Zhao, Caidi; Li, Yongsheng
2004
Global attractor for a system of the non-Newtonian incompressible fluid in 2D unbounded domains. Zbl 1053.35117
Li, Yongsheng; Zhao, Caidi
2002
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#### Cited by 335 Authors

 50 Zhao, Caidi 38 Zhou, Shengfan 13 Li, Yangrong 11 Caraballo Garrido, Tomás 11 Shu, Ji 10 Cung The Anh 9 Han, Xiaoying 8 Abdallah, Ahmed Y. 8 Li, Yongsheng 8 Wang, Zhaojuan 7 Liu, Guowei 7 Morillas, Francisco G. 7 Valero, José 7 Wang, Renhai 6 Gu, Anhui 6 Yang, Xinguang 6 Zhao, Min 5 Jia, Yan 5 Łukaszewicz, Grzegorz 5 She, Lianbing 5 Sun, Wenlong 5 Tachim Medjo, Theodore 5 Zhao, Wenqiang 4 Guo, Chunxiao 4 Huang, Jianhua 4 Li, Chunqiu 4 Li, Dingshi 4 Li, Yanjiao 4 Song, Yukun 4 Straughan, Brian 4 Wang, Weiming 4 Ye, Yong 4 Zhang, Jian 4 Zhu, Zeqi 3 Cao, Juan 3 Chen, Yang 3 Duan, Jinqiao 3 Guo, Boling 3 Guo, Jong-Shenq 3 Lesnic, Daniel 3 Li, Jin 3 Lin, Jian Jhong 3 Liu, Hua 3 Lu, Yongjin 3 Ma, Ming 3 Nguyet, Tran Minh 3 Qin, Yuming 3 Shi, Lin 3 Trang, Pham Thi 3 Wang, Bixiang 3 Wang, Jintao 3 Wang, Yejuan 3 Wei, Yumei 3 Xie, Qianqian 3 Yang, Zhijian 3 Zhang, Kai 2 Bai, Qianqian 2 Chai, Xiaojuan 2 Chen, Shuai 2 Chen, Yushuo 2 Dong, Boqing 2 Fan, Xiaoming 2 Giletti, Thomas 2 Guo, Shangjiang 2 Guo, Yana 2 Hajduk, Karol W. 2 Hsu, Cheng-Hsiung 2 Huang, Lan 2 Huang, Tousheng 2 Jia, Xiaolin 2 Kloeden, Peter Eris 2 Li, Linyan 2 Li, Lu 2 Li, Xiaojun 2 Li, You 2 Lian, Xinze 2 Pereira, Jardel Morais 2 Robinson, James Cooper 2 Schenke, Andre 2 Shao, Guangming 2 Song, Zhongchun 2 Sun, Chengfeng 2 Toi, Vu Manh 2 Wang, Chengzhi 2 Wang, Jinliang 2 Wang, Xiaohu 2 Wannan, Rania T. 2 Xue, Gang 2 Yang, Hongju 2 Yang, Meihua 2 Yang, Xinbo 2 Yang, Yuan 2 Ye, Hailong 2 Yin, Jinyan 2 Zhang, Chengjian 2 Zhang, Huayong 2 Zhang, Mingshu 2 Zhang, Qiangheng 2 Zhang, Yijin 2 Zhao, Lu ...and 235 more Authors
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#### Cited in 78 Serials

 19 Applied Mathematics and Computation 19 Journal of Differential Equations 18 Journal of Mathematical Analysis and Applications 16 Journal of Mathematical Physics 14 Discrete and Continuous Dynamical Systems. Series B 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11 Discrete Dynamics in Nature and Society 10 Journal of Difference Equations and Applications 10 Nonlinear Analysis. Real World Applications 8 Abstract and Applied Analysis 7 Advances in Difference Equations 6 Discrete and Continuous Dynamical Systems 6 Boundary Value Problems 5 Applied Mathematics and Optimization 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Communications on Pure and Applied Analysis 5 Journal of Applied Analysis and Computation 5 Electronic Research Archive 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Applied Mathematics Letters 4 Journal of Dynamics and Differential Equations 4 Acta Mathematica Sinica. English Series 4 Stochastics and Dynamics 3 Applicable Analysis 3 Chaos, Solitons and Fractals 3 Applied Mathematics and Mechanics. (English Edition) 3 Acta Applicandae Mathematicae 3 Acta Mathematicae Applicatae Sinica. English Series 3 Complexity 3 Journal of Mathematical Fluid Mechanics 3 Acta Mathematica Scientia. Series B. (English Edition) 2 Computers & Mathematics with Applications 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 Annales Polonici Mathematici 2 Applied Mathematical Modelling 2 Communications in Nonlinear Science and Numerical Simulation 2 Qualitative Theory of Dynamical Systems 2 Dynamical Systems 2 Science China. Mathematics 1 Acta Mathematica Vietnamica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Quarterly of Applied Mathematics 1 Ricerche di Matematica 1 Bulletin of the Korean Mathematical Society 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of Computer Mathematics 1 Stochastic Processes and their Applications 1 Journal of Nonlinear Science 1 Topological Methods in Nonlinear Analysis 1 Georgian Mathematical Journal 1 NoDEA. Nonlinear Differential Equations and Applications 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Taiwanese Journal of Mathematics 1 Communications of the Korean Mathematical Society 1 Journal of Evolution Equations 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Mediterranean Journal of Mathematics 1 Proceedings of the Indian Academy of Sciences 1 Applications and Applied Mathematics 1 Frontiers of Mathematics in China 1 International Journal of Biomathematics 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 Journal of Geometric Mechanics 1 Analysis and Mathematical Physics 1 Evolution Equations and Control Theory 1 Nonautonomous Dynamical Systems 1 Open Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Korean Journal of Mathematics 1 Bollettino dell’Unione Matematica Italiana
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#### Cited in 21 Fields

 202 Partial differential equations (35-XX) 109 Dynamical systems and ergodic theory (37-XX) 95 Fluid mechanics (76-XX) 57 Probability theory and stochastic processes (60-XX) 50 Ordinary differential equations (34-XX) 31 Biology and other natural sciences (92-XX) 15 Difference and functional equations (39-XX) 8 Numerical analysis (65-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of deformable solids (74-XX) 4 Systems theory; control (93-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 Quantum theory (81-XX)