Edit Profile Zhao, Caidi Compute Distance To: Compute Author ID: zhao.caidi Published as: Zhao, C.; Zhao, Cai Di; Zhao, Cai-Di; Zhao, CaiDi; Zhao, Caidi; Zhao, caidi Documents Indexed: 91 Publications since 1995 Reviewing Activity: 28 Reviews all top 5 Co-Authors 9 single-authored 27 Zhou, Shengfan 13 Li, Yongsheng 6 Wang, Weiming 5 Liu, Guowei 4 Caraballo Garrido, Tomás 4 Jia, Xiaolin 4 Liang, Yunyun 4 Yang, Xinbo 3 Cao, Juan 3 Duan, Jinqiao 3 Hsu, Cheng-Hsiung 3 Li, Bei 3 Li, Chunqiu 3 Li, Yanjiao 3 Yang, Ling 3 Zhang, Mingshu 3 Zhao, Min 3 Zhu, Zeqi 2 Cai, Yongli 2 Dong, Boqing 2 Li, Chujin 2 Liao, Xinyuan 2 Lin, Jian Jhong 2 Song, Zhongchun 2 Sun, Wenlong 2 Wang, Chengzhi 2 Xue, Gang 2 You, Yuncheng 2 Zhu, Hongjin 1 An, Rong 1 Chen, Tao 1 Du, Guangyin 1 Guo, Zhengguang 1 Kong, Lei 1 Li, Liangpan 1 Li, Yongjun 1 Lian, Xinze 1 Łukaszewicz, Grzegorz 1 Qin, Xiaohong 1 Sang, Yanmiao 1 Wang, Jinfeng 1 Wang, Jintao 1 Wang, Yejuan 1 Wu, Heling 1 Yang, Ting-Hui 1 Ying, Yulin 1 Zhang, Linghai 1 Zhao, Mei 1 Zhou, Shenfan 1 Zhu, Zheqi all top 5 Serials 9 Applied Mathematics and Computation 6 Acta Mathematica Scientia. Series A. (Chinese Edition) 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 4 Journal of Differential Equations 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 1 Mathematical Methods in the Applied Sciences 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 Mathematica Applicata 1 Applied Mathematical Modelling 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 all top 5 Fields 76 Partial differential equations (35-XX) 43 Fluid mechanics (76-XX) 27 Dynamical systems and ergodic theory (37-XX) 13 Ordinary differential equations (34-XX) 3 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 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 72 Publications have been cited 510 times in 247 Documents Cited by ▼ Year ▼ Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applications. Zbl 1192.37106Zhao, Caidi; Zhou, Shengfan 41 2009 Pullback attractors for a non-autonomous incompressible non-Newtonian fluid. Zbl 1152.35012Zhao, Caidi; Zhou, Shengfan 29 2007 \(H^{2}\)-compact attractor for a non-Newtonian system in two-dimensional unbounded domains. Zbl 1073.35044Zhao, Caidi; Li, Yongsheng 27 2004 Compact uniform attractors for dissipative lattice dynamical systems with delays. Zbl 1153.37037Zhao, Caidi; Zhou, Shengfan 22 2008 Compact kernel sections for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. Zbl 1113.37057Zhao, Caidi; Zhou, Shengfan 19 2007 Random attractor for the Ladyzhenskaya model with additive noise. Zbl 1185.35347Zhao, Caidi; Duan, Jinqiao 18 2010 Upper bound of decay rate for solutions to the Navier-Stokes-Voigt equations in \(\mathbb{R}^3\). Zbl 1338.35378Zhao, Caidi; Zhu, Hongjin 17 2015 Regularity of trajectory attractor and upper semicontinuity of global attractor for a 2D non-Newtonian fluid. Zbl 1182.35048Zhao, Caidi; Li, Yongsheng; Zhou, Shengfan 17 2009 Attractors of retarded first order lattice systems. Zbl 1130.34053Zhao, Caidi; Zhou, Shengfan 17 2007 Trajectory attractor and global attractor for a two-dimensional incompressible non-Newtonian fluid. Zbl 1112.35032Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng 15 2007 Compact uniform attractors for dissipative non-autonomous lattice dynamical systems. Zbl 1136.37043Zhou, Shenfan; Zhao, Caidi; Liao, Xinyuan 12 2007 A note on the asymptotic smoothing effect of solutions to a non-Newtonian system in 2-D unbounded domains. Zbl 1058.35047Zhao, Caidi; Li, Yongsheng 12 2005 Global attractor and Kolmogorov entropy of three component reversible Gray-Scott model on infinite lattices. Zbl 1264.34018Jia, Xiaolin; Zhao, Caidi; Yang, Xinbo 11 2012 Dynamics of a Leslie-Gower predator-prey model with additive Allee effect. Zbl 1443.92149Cai, Yongli; Zhao, Caidi; Wang, Weiming; Wang, Jinfeng 10 2015 Upper and lower bounds of time decay rate of solutions to a class of incompressible third grade fluid equations. Zbl 1297.35194Zhao, Caidi; Liang, Yunyun; Zhao, Min 10 2014 Compact kernel sections for lattice systems with delays. Zbl 1169.34055Zhao, Caidi; Zhou, Shengfan; Wang, Weiming 10 2009 Finite dimensionality and upper semicontinuity of compact kernel sections of non-autonomous lattice systems. Zbl 1148.37040Zhou, Shengfan; Zhao, Caidi; Wang, Yejuan 10 2008 Smooth pullback attractors for a non-autonomous 2D non-Newtonian fluid and their tempered behaviors. Zbl 1293.35051Zhao, Caidi; Liu, Guowei; Wang, Weiming 9 2014 Compact kernel sections of long-wave-short-wave resonance equations on infinite lattices. Zbl 1133.34031Zhao, Caidi; Zhou, Shengfan 9 2008 \(L^2\)-compact uniform attractors for a nonautonomous incompressible non-Newtonian fluid with locally uniformly integrable external forces in distribution space. Zbl 1137.37332Zhao, Caidi; Zhou, Shengfan 9 2007 Pullback dynamical behaviors of the non-autonomous micropolar fluid flows. Zbl 1327.35042Zhao, Caidi; Sun, Wenlong; Hsu, Cheng Hsiung 8 2015 Spatiotemporal complexity of a Leslie-Gower predator-prey model with the weak Allee effect. Zbl 1397.92563Cai, Yongli; Zhao, Caidi; Wang, Weiming 7 2013 Dynamics of the discrete coupled nonlinear Schrödinger-Boussinesq equations. Zbl 1291.39019Yang, Xinbo; Zhao, Caidi; Cao, Juan 7 2013 \(H^1\)-uniform attractor and asymptotic smoothing effect of solutions for a nonautonomous micropolar fluid flow in 2D unbounded domains. Zbl 1192.37105Zhao, Caidi; Zhou, Shengfan; Lian, Xinze 7 2008 Pullback attractors and invariant measures for the non-autonomous globally modified Navier-Stokes equations. Zbl 1391.35073Zhao, Caidi; Yang, Ling 6 2017 Pullback asymptotic behavior of solutions for a non-autonomous non-Newtonian fluid on two-dimensional unbounded domains. Zbl 1331.76020Zhao, Caidi 6 2012 Approximation of the incompressible convective Brinkman-Forchheimer equations. Zbl 1259.35170Zhao, Caidi; You, Yuncheng 6 2012 Existence and regularity of pullback attractors for an incompressible non-Newtonian fluid with delays. Zbl 1180.35128Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng 6 2009 Pullback trajectory attractors for evolution equations and application to 3D incompressible non-Newtonian fluid. Zbl 1163.35327Zhao, Caidi; Zhou, Shengfan 6 2008 Limit behavior of global attractors for the complex Ginzburg-Landau equation on infinite lattices. Zbl 1138.37048Zhao, Caidi; Zhou, Shengfan 6 2008 Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier-Stokes equations. Zbl 1411.35051Zhao, Caidi; Caraballo, Tomás 5 2019 Global dynamics and traveling wave solutions of two predators-one prey models. Zbl 1348.37124Lin, Jian-Jhong; Wang, Weiming; Zhao, Caidi; Yang, Ting-Hui 5 2015 The trajectory attractor and its limiting behavior for the convective Brinkman-Forchheimer equations. Zbl 1362.35056Zhao, Caidi; Kong, Lei; Liu, Guowei; Zhao, Min 5 2014 \(H^4\)-boundedness of pullback attractor for a 2D non-Newtonian fluid flow. Zbl 1315.35172Liu, Guowei; Zhao, Caidi; Cao, Juan 5 2013 Approximation of the incompressible non-Newtonian fluid equations by the artificial compressibility method. Zbl 1267.35171Zhao, Caidi 5 2013 The existence of uniform attractors for 3D Brinkman-Forchheimer equations. Zbl 1252.35083You, Yuncheng; Zhao, Caidi; Zhou, Shengfan 5 2012 Attractors for discrete nonlinear Schrödinger equation with delay. Zbl 1221.39004Chen, Tao; Zhou, Sheng-Fan; Zhao, Cai-Di 5 2010 Upper semicontinuity of attractors for lattice systems under singular perturbations. Zbl 1189.34021Zhao, Caidi; Zhou, Shengfan 5 2010 Limiting behavior of a global attractor for lattice nonclassical parabolic equations. Zbl 1260.37053Zhao, Caidi; Zhou, Shengfan 5 2007 Uniform attractors for nonautonomous incompressible non-Newtonian fluid with locally uniform integrable external forces. Zbl 1111.35047Zhao, Caidi; Zhou, Shengfan; Liao, Xinyuan 5 2006 Algorithmization formula and mechanization to Cauchy problem of high dimensional wave equation. Zbl 1080.65101Zhao, Caidi 5 2005 Global well-posedness and pullback attractors for a two-dimensional non-autonomous micropolar fluid flows with infinite delays. Zbl 1360.35153Zhao, Caidi; Sun, Wenlong 4 2017 Perturbation of regular sampling in shift-invariant spaces for frames. Zbl 1310.94056Zhao, P.; Zhao, C.; Casazza, P. G. 4 2006 Algorithm and mechanization to Cauchy problem of parabolic equation. Zbl 1080.65102Zhao, Caidi 4 2005 Global attractor for a system of the non-Newtonian incompressible fluid in 2D unbounded domains. Zbl 1053.35117Li, Yongsheng; Zhao, Caidi 4 2002 Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations. Zbl 1425.37047Zhao, Caidi; Song, Zhongchun; Caraballo, Tomás 3 2020 Pullback attractors and invariant measures for discrete Klein-Gordon-Schrödinger equations. Zbl 1415.35059Zhao, Caidi; Xue, Gang; Łukaszewicz, Grzegorz 3 2018 Pullback attractor and invariant measures for the three-dimensional regularized MHD equations. Zbl 1397.35039Zhu, Zeqi; Zhao, Caidi 3 2018 Compact kernel sections and Kolmogorov entropy for the lattice Zakharov equations with a quantum correction. Zbl 1324.35172Liang, Yunyun; Li, Chujin; Zhao, Caidi 3 2014 Global attractors for the discrete Klein-Gordon-Schrödinger type equations. Zbl 1304.35121Li, Chunqiu; Hsu, Cheng Hsiung; Lin, Jian Jhong; Zhao, Caidi 3 2014 Approximation algorithms for some graph partitioning problems. Zbl 0969.05057He, George; Liu, J.; Zhao, C. 3 2000 Trajectory statistical solutions for the 3D Navier-Stokes equations: the trajectory attractor approach. Zbl 1433.35249Zhao, Caidi; Li, Yanjiao; Song, Zhongchun 2 2020 Global well-posedness and pullback attractors for an incompressible non-Newtonian fluid with infinite delays. Zbl 1361.35136Zhao, Caidi; Liu, Guowei; An, Rong 2 2017 Time decay rate of solutions to the hyperbolic MHD equations in \(\mathbb{R}^3\). Zbl 1374.35313Li, Bei; Zhu, Hongjin; Zhao, Caidi 2 2016 Convergence of global attractors of a 2D non-Newtonian system to the global attractor of the 2D Navier-Stokes system. Zbl 1280.35102Zhao, CaiDi; Duan, JinQiao 2 2013 Upper semicontinuity of global attractors for 2D Navier-Stokes equations. Zbl 1270.35356Zhao, Caidi; Duan, Jinqiao 2 2012 A random attractor for a two-dimensional incompressible non-Newtonian fluid with multiplicative noise. Zbl 1240.35059Zhao, Caidi; Li, Yongsheng; Zhou, Shengfan 2 2011 Sufficient conditions for the existence of exponential attractors for lattice systems and applications. Zbl 1224.35044Zhao, Caidi; Zhou, Shengfan 2 2010 A note on nonautonomous Klein-Gordon-Schrödinger equations with homogeneous Dirichlet boundary condition. Zbl 1199.35361Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng 2 2008 Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid. Zbl 1143.76010Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng 2 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 1165.35329Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng 2 2008 Algorithm and mechanization to Cauchy problem of wave equation with linear damping and source terms. Zbl 1092.65078Zhao, Caidi 2 2006 Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications. Zbl 1436.35050Zhao, Caidi; Li, Yanjiao; Caraballo, Tomás 1 2020 Invariant Borel probability measures for discrete long-wave-short-wave resonance equations. Zbl 1428.35053Wang, Chengzhi; Xue, Gang; Zhao, Caidi 1 2018 Time decay rate of weak solutions to the generalized MHD equations in \(\mathbb{R}^2\). Zbl 1410.76477Zhao, Caidi; Li, Bei 1 2017 Analyticity of the global attractor for the 3D regularized MHD equations. Zbl 1383.35179Zhao, Caidi; Li, Bei 1 2016 Finite fractal dimension of kernel sections for long-wave-short-wave resonance equations on infinite lattices. Zbl 1349.37079Liang, Yunyun; Zhu, Zeqi; Zhao, Mei; Zhao, caidi 1 2015 Trajectory attractor for a class of three-dimensional incompressible non-Newtonian fluids. Zbl 1340.35281Zhao, Caidi; Wu, Heling; Li, Chujin 1 2015 Uniform attractor of the non-autonomous discrete Selkov model. Zbl 1309.37073Jia, Xiaolin; Zhao, Caidi; Cao, Juan 1 2014 Pullback exponential attractors for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. Zbl 07095376Li, Chunqiu; Zhao, Min; Zhao, Caidi 1 2013 Dynamics of non-autonomous equations of non-Newtonian fluid on 2D unbounded domains. Zbl 1282.35085Zhao, Caidi 1 2013 Asymptotic smoothing effect of solutions to Davey-Stewartson systems on the whole plane. Zbl 1135.35019Zhao, Cai Di; Li, Yong Sheng; Zhou, Sheng Fan 1 2007 Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations. Zbl 1425.37047Zhao, Caidi; Song, Zhongchun; Caraballo, Tomás 3 2020 Trajectory statistical solutions for the 3D Navier-Stokes equations: the trajectory attractor approach. Zbl 1433.35249Zhao, Caidi; Li, Yanjiao; Song, Zhongchun 2 2020 Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications. Zbl 1436.35050Zhao, Caidi; Li, Yanjiao; Caraballo, Tomás 1 2020 Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier-Stokes equations. Zbl 1411.35051Zhao, Caidi; Caraballo, Tomás 5 2019 Pullback attractors and invariant measures for discrete Klein-Gordon-Schrödinger equations. Zbl 1415.35059Zhao, Caidi; Xue, Gang; Łukaszewicz, Grzegorz 3 2018 Pullback attractor and invariant measures for the three-dimensional regularized MHD equations. Zbl 1397.35039Zhu, Zeqi; Zhao, Caidi 3 2018 Invariant Borel probability measures for discrete long-wave-short-wave resonance equations. Zbl 1428.35053Wang, Chengzhi; Xue, Gang; Zhao, Caidi 1 2018 Pullback attractors and invariant measures for the non-autonomous globally modified Navier-Stokes equations. Zbl 1391.35073Zhao, Caidi; Yang, Ling 6 2017 Global well-posedness and pullback attractors for a two-dimensional non-autonomous micropolar fluid flows with infinite delays. Zbl 1360.35153Zhao, Caidi; Sun, Wenlong 4 2017 Global well-posedness and pullback attractors for an incompressible non-Newtonian fluid with infinite delays. Zbl 1361.35136Zhao, Caidi; Liu, Guowei; An, Rong 2 2017 Time decay rate of weak solutions to the generalized MHD equations in \(\mathbb{R}^2\). Zbl 1410.76477Zhao, Caidi; Li, Bei 1 2017 Time decay rate of solutions to the hyperbolic MHD equations in \(\mathbb{R}^3\). Zbl 1374.35313Li, Bei; Zhu, Hongjin; Zhao, Caidi 2 2016 Analyticity of the global attractor for the 3D regularized MHD equations. Zbl 1383.35179Zhao, Caidi; Li, Bei 1 2016 Upper bound of decay rate for solutions to the Navier-Stokes-Voigt equations in \(\mathbb{R}^3\). Zbl 1338.35378Zhao, Caidi; Zhu, Hongjin 17 2015 Dynamics of a Leslie-Gower predator-prey model with additive Allee effect. Zbl 1443.92149Cai, Yongli; Zhao, Caidi; Wang, Weiming; Wang, Jinfeng 10 2015 Pullback dynamical behaviors of the non-autonomous micropolar fluid flows. Zbl 1327.35042Zhao, Caidi; Sun, Wenlong; Hsu, Cheng Hsiung 8 2015 Global dynamics and traveling wave solutions of two predators-one prey models. Zbl 1348.37124Lin, Jian-Jhong; Wang, Weiming; Zhao, Caidi; Yang, Ting-Hui 5 2015 Finite fractal dimension of kernel sections for long-wave-short-wave resonance equations on infinite lattices. Zbl 1349.37079Liang, Yunyun; Zhu, Zeqi; Zhao, Mei; Zhao, caidi 1 2015 Trajectory attractor for a class of three-dimensional incompressible non-Newtonian fluids. Zbl 1340.35281Zhao, Caidi; Wu, Heling; Li, Chujin 1 2015 Upper and lower bounds of time decay rate of solutions to a class of incompressible third grade fluid equations. Zbl 1297.35194Zhao, Caidi; Liang, Yunyun; Zhao, Min 10 2014 Smooth pullback attractors for a non-autonomous 2D non-Newtonian fluid and their tempered behaviors. Zbl 1293.35051Zhao, Caidi; Liu, Guowei; Wang, Weiming 9 2014 The trajectory attractor and its limiting behavior for the convective Brinkman-Forchheimer equations. Zbl 1362.35056Zhao, Caidi; Kong, Lei; Liu, Guowei; Zhao, Min 5 2014 Compact kernel sections and Kolmogorov entropy for the lattice Zakharov equations with a quantum correction. Zbl 1324.35172Liang, Yunyun; Li, Chujin; Zhao, Caidi 3 2014 Global attractors for the discrete Klein-Gordon-Schrödinger type equations. Zbl 1304.35121Li, Chunqiu; Hsu, Cheng Hsiung; Lin, Jian Jhong; Zhao, Caidi 3 2014 Uniform attractor of the non-autonomous discrete Selkov model. Zbl 1309.37073Jia, Xiaolin; Zhao, Caidi; Cao, Juan 1 2014 Spatiotemporal complexity of a Leslie-Gower predator-prey model with the weak Allee effect. Zbl 1397.92563Cai, Yongli; Zhao, Caidi; Wang, Weiming 7 2013 Dynamics of the discrete coupled nonlinear Schrödinger-Boussinesq equations. Zbl 1291.39019Yang, Xinbo; Zhao, Caidi; Cao, Juan 7 2013 \(H^4\)-boundedness of pullback attractor for a 2D non-Newtonian fluid flow. Zbl 1315.35172Liu, Guowei; Zhao, Caidi; Cao, Juan 5 2013 Approximation of the incompressible non-Newtonian fluid equations by the artificial compressibility method. Zbl 1267.35171Zhao, Caidi 5 2013 Convergence of global attractors of a 2D non-Newtonian system to the global attractor of the 2D Navier-Stokes system. Zbl 1280.35102Zhao, CaiDi; Duan, JinQiao 2 2013 Pullback exponential attractors for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. Zbl 07095376Li, Chunqiu; Zhao, Min; Zhao, Caidi 1 2013 Dynamics of non-autonomous equations of non-Newtonian fluid on 2D unbounded domains. Zbl 1282.35085Zhao, Caidi 1 2013 Global attractor and Kolmogorov entropy of three component reversible Gray-Scott model on infinite lattices. Zbl 1264.34018Jia, Xiaolin; Zhao, Caidi; Yang, Xinbo 11 2012 Pullback asymptotic behavior of solutions for a non-autonomous non-Newtonian fluid on two-dimensional unbounded domains. Zbl 1331.76020Zhao, Caidi 6 2012 Approximation of the incompressible convective Brinkman-Forchheimer equations. Zbl 1259.35170Zhao, Caidi; You, Yuncheng 6 2012 The existence of uniform attractors for 3D Brinkman-Forchheimer equations. Zbl 1252.35083You, Yuncheng; Zhao, Caidi; Zhou, Shengfan 5 2012 Upper semicontinuity of global attractors for 2D Navier-Stokes equations. Zbl 1270.35356Zhao, Caidi; Duan, Jinqiao 2 2012 A random attractor for a two-dimensional incompressible non-Newtonian fluid with multiplicative noise. Zbl 1240.35059Zhao, Caidi; Li, Yongsheng; Zhou, Shengfan 2 2011 Random attractor for the Ladyzhenskaya model with additive noise. Zbl 1185.35347Zhao, Caidi; Duan, Jinqiao 18 2010 Attractors for discrete nonlinear Schrödinger equation with delay. Zbl 1221.39004Chen, Tao; Zhou, Sheng-Fan; Zhao, Cai-Di 5 2010 Upper semicontinuity of attractors for lattice systems under singular perturbations. Zbl 1189.34021Zhao, Caidi; Zhou, Shengfan 5 2010 Sufficient conditions for the existence of exponential attractors for lattice systems and applications. Zbl 1224.35044Zhao, Caidi; Zhou, Shengfan 2 2010 Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applications. Zbl 1192.37106Zhao, Caidi; Zhou, Shengfan 41 2009 Regularity of trajectory attractor and upper semicontinuity of global attractor for a 2D non-Newtonian fluid. Zbl 1182.35048Zhao, Caidi; Li, Yongsheng; Zhou, Shengfan 17 2009 Compact kernel sections for lattice systems with delays. Zbl 1169.34055Zhao, Caidi; Zhou, Shengfan; Wang, Weiming 10 2009 Existence and regularity of pullback attractors for an incompressible non-Newtonian fluid with delays. Zbl 1180.35128Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng 6 2009 Compact uniform attractors for dissipative lattice dynamical systems with delays. Zbl 1153.37037Zhao, Caidi; Zhou, Shengfan 22 2008 Finite dimensionality and upper semicontinuity of compact kernel sections of non-autonomous lattice systems. Zbl 1148.37040Zhou, Shengfan; Zhao, Caidi; Wang, Yejuan 10 2008 Compact kernel sections of long-wave-short-wave resonance equations on infinite lattices. Zbl 1133.34031Zhao, Caidi; Zhou, Shengfan 9 2008 \(H^1\)-uniform attractor and asymptotic smoothing effect of solutions for a nonautonomous micropolar fluid flow in 2D unbounded domains. Zbl 1192.37105Zhao, Caidi; Zhou, Shengfan; Lian, Xinze 7 2008 Pullback trajectory attractors for evolution equations and application to 3D incompressible non-Newtonian fluid. Zbl 1163.35327Zhao, Caidi; Zhou, Shengfan 6 2008 Limit behavior of global attractors for the complex Ginzburg-Landau equation on infinite lattices. Zbl 1138.37048Zhao, Caidi; Zhou, Shengfan 6 2008 A note on nonautonomous Klein-Gordon-Schrödinger equations with homogeneous Dirichlet boundary condition. Zbl 1199.35361Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng 2 2008 Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid. Zbl 1143.76010Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng 2 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 1165.35329Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng 2 2008 Pullback attractors for a non-autonomous incompressible non-Newtonian fluid. Zbl 1152.35012Zhao, Caidi; Zhou, Shengfan 29 2007 Compact kernel sections for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. Zbl 1113.37057Zhao, Caidi; Zhou, Shengfan 19 2007 Attractors of retarded first order lattice systems. Zbl 1130.34053Zhao, Caidi; Zhou, Shengfan 17 2007 Trajectory attractor and global attractor for a two-dimensional incompressible non-Newtonian fluid. Zbl 1112.35032Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng 15 2007 Compact uniform attractors for dissipative non-autonomous lattice dynamical systems. Zbl 1136.37043Zhou, Shenfan; Zhao, Caidi; Liao, Xinyuan 12 2007 \(L^2\)-compact uniform attractors for a nonautonomous incompressible non-Newtonian fluid with locally uniformly integrable external forces in distribution space. Zbl 1137.37332Zhao, Caidi; Zhou, Shengfan 9 2007 Limiting behavior of a global attractor for lattice nonclassical parabolic equations. Zbl 1260.37053Zhao, Caidi; Zhou, Shengfan 5 2007 Asymptotic smoothing effect of solutions to Davey-Stewartson systems on the whole plane. Zbl 1135.35019Zhao, Cai Di; Li, Yong Sheng; Zhou, Sheng Fan 1 2007 Uniform attractors for nonautonomous incompressible non-Newtonian fluid with locally uniform integrable external forces. Zbl 1111.35047Zhao, Caidi; Zhou, Shengfan; Liao, Xinyuan 5 2006 Perturbation of regular sampling in shift-invariant spaces for frames. Zbl 1310.94056Zhao, P.; Zhao, C.; Casazza, P. G. 4 2006 Algorithm and mechanization to Cauchy problem of wave equation with linear damping and source terms. Zbl 1092.65078Zhao, Caidi 2 2006 A note on the asymptotic smoothing effect of solutions to a non-Newtonian system in 2-D unbounded domains. Zbl 1058.35047Zhao, Caidi; Li, Yongsheng 12 2005 Algorithmization formula and mechanization to Cauchy problem of high dimensional wave equation. Zbl 1080.65101Zhao, Caidi 5 2005 Algorithm and mechanization to Cauchy problem of parabolic equation. Zbl 1080.65102Zhao, Caidi 4 2005 \(H^{2}\)-compact attractor for a non-Newtonian system in two-dimensional unbounded domains. Zbl 1073.35044Zhao, Caidi; Li, Yongsheng 27 2004 Global attractor for a system of the non-Newtonian incompressible fluid in 2D unbounded domains. Zbl 1053.35117Li, Yongsheng; Zhao, Caidi 4 2002 Approximation algorithms for some graph partitioning problems. Zbl 0969.05057He, George; Liu, J.; Zhao, C. 3 2000 all cited Publications top 5 cited Publications all top 5 Cited by 305 Authors 45 Zhao, Caidi 38 Zhou, Shengfan 11 Li, Yangrong 9 Caraballo Garrido, Tomás 8 Cung The Anh 8 Li, Yongsheng 8 Wang, Zhaojuan 7 Han, Xiaoying 7 Liu, Guowei 7 Morillas, Francisco G. 7 Shu, Ji 7 Valero, José 6 Abdallah, Ahmed Y. 6 Gu, Anhui 6 Zhao, Min 5 Tachim Medjo, Theodore 5 Zhao, Wenqiang 4 Guo, Chunxiao 4 Li, Dingshi 4 She, Lianbing 4 Song, Yukun 4 Straughan, Brian 4 Sun, Wenlong 4 Wang, Renhai 4 Wang, Weiming 3 Cao, Juan 3 Chen, Yang 3 Duan, Jinqiao 3 Guo, Boling 3 Huang, Jianhua 3 Huang, Tousheng 3 Lesnic, Daniel 3 Li, Jin 3 Lin, Jian Jhong 3 Liu, Hua 3 Łukaszewicz, Grzegorz 3 Ma, Ming 3 Nguyet, Tran Minh 3 Shi, Lin 3 Trang, Pham Thi 3 Wang, Xiaohu 3 Wei, Yumei 3 Yang, Xinguang 3 Yang, Zhijian 3 Ye, Yong 3 Zhang, Huayong 3 Zhang, Kai 3 Zhu, Zeqi 2 Atreas, Nikolaos D. 2 Bai, Qianqian 2 Chen, Shuai 2 Fan, Xiaoming 2 Guo, Shangjiang 2 Hsu, Cheng-Hsiung 2 Jia, Xiaolin 2 Jia, Yan 2 Li, Chunqiu 2 Li, Linyan 2 Li, Xiaojun 2 Li, Yanjiao 2 Li, You 2 Lian, Xinze 2 Lu, Yongjin 2 Pereira, Jardel Morais 2 Shao, Guangming 2 Song, Zhongchun 2 Wang, Bixiang 2 Wang, Chengzhi 2 Wang, Yejuan 2 Wannan, Rania T. 2 Xie, Qianqian 2 Xue, Gang 2 Yang, Hongju 2 Yang, Meihua 2 Yang, Xinbo 2 Yin, Jinyan 2 Zhang, Chengjian 2 Zhang, Yijin 2 Zhao, Lu 2 Zhong, Shihong 1 Abbaszadeh, Mostafa 1 Adamaszek, Anna 1 Ağirseven, Deniz 1 Ahmad, Bashir 1 Alsakaji, Hebatallah J. 1 Amigó, José María 1 An, Rong 1 Artés, Joan Carles 1 Ashyralyev, Allaberen 1 Bai, Kuang 1 Bai, Yu 1 Bakhet, Mohamed Y. A. 1 Biswas, Anjan 1 Bulíček, Miroslav 1 Cai, Yongli 1 Cao, Daomin 1 Chai, Xiaojuan 1 Chen, Hong 1 Chen, Tao 1 Ciarletta, Michele ...and 205 more Authors all top 5 Cited in 74 Serials 18 Applied Mathematics and Computation 17 Journal of Differential Equations 16 Journal of Mathematical Analysis and Applications 14 Journal of Mathematical Physics 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Discrete and Continuous Dynamical Systems. Series B 10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Discrete Dynamics in Nature and Society 9 Nonlinear Analysis. Real World Applications 8 Abstract and Applied Analysis 7 Journal of Difference Equations and Applications 7 Advances in Difference Equations 6 Discrete and Continuous Dynamical Systems 6 Boundary Value Problems 4 Chaos, Solitons and Fractals 4 Acta Mathematica Sinica. English Series 4 Communications on Pure and Applied Analysis 3 Applicable Analysis 3 Applied Mathematics and Mechanics. (English Edition) 3 Acta Applicandae Mathematicae 3 Acta Mathematicae Applicatae Sinica. English Series 3 Applied Mathematics Letters 3 Journal of Dynamics and Differential Equations 3 Complexity 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Stochastics and Dynamics 2 Computers & Mathematics with Applications 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Mathematical Fluid Mechanics 2 Communications in Nonlinear Science and Numerical Simulation 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Science China. Mathematics 2 Electronic Research Archive 1 Nonlinearity 1 Studia Mathematica 1 Acta Mathematica Vietnamica 1 Annales Polonici Mathematici 1 Applied Mathematics and Optimization 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 Circuits, Systems, and Signal Processing 1 Algorithmica 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Journal of Nonlinear Science 1 Topological Methods in Nonlinear Analysis 1 Advances in Computational Mathematics 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Taiwanese Journal of Mathematics 1 Qualitative Theory of Dynamical Systems 1 Dynamical Systems 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 Mediterranean Journal of 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 all top 5 Cited in 23 Fields 164 Partial differential equations (35-XX) 92 Dynamical systems and ergodic theory (37-XX) 73 Fluid mechanics (76-XX) 48 Probability theory and stochastic processes (60-XX) 40 Ordinary differential equations (34-XX) 23 Biology and other natural sciences (92-XX) 12 Difference and functional equations (39-XX) 11 Numerical analysis (65-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Computer science (68-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Combinatorics (05-XX) 3 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 2 Geophysics (86-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year