Edit Profile (opens in new tab) Zhao, Caidi Co-Author Distance Author ID: zhao.caidi Published as: Zhao, Caidi; Zhao, Cai Di; Zhao, Cai-Di; Zhao, caidi; Zhao, CaiDi; Zhao, C. more...less External Links: ORCID · ResearchGate · dblp Documents Indexed: 113 Publications since 2002 1 Contribution as Editor Reviewing Activity: 42 Reviews Co-Authors: 67 Co-Authors with 105 Joint Publications 1,820 Co-Co-Authors all top 5 Co-Authors 9 single-authored 27 Zhou, Shengfan 13 Caraballo Garrido, Tomás 13 Li, Yongsheng 7 Liu, Guowei 6 Li, Yanjiao 6 Wang, Weiming 4 Han, Xiaoling 4 Jia, Xiaolin 4 Li, Chunqiu 4 Liang, Yunyun 4 Łukaszewicz, Grzegorz 4 Yang, Hujun 4 Yang, Xinbo 4 Zhang, Mingshu 4 Zhu, Zeqi 3 Cao, Juan 3 Duan, Jinqiao 3 Hsu, Cheng-Hsiung 3 Jiang, Huite 3 Li, Bei 3 Li, Chujin 3 Sang, Yanmiao 3 Wang, Jintao 3 Yang, Ling 3 Zhao, Min 2 Cai, Yongli 2 Dong, Boqing 2 Liao, Xinyuan 2 Lin, Jian Jhong 2 Lin, Zehan 2 Song, Zhongchun 2 Sun, Wenlong 2 Tachim Medjo, Theodore 2 Wang, Chengzhi 2 Xue, Gang 2 You, Yuncheng 2 Zhang, Yongkang 2 Zhu, Hongjin 1 An, Rong 1 Chen, Tao 1 Chen, Xiaolin 1 Du, Guangyin 1 Guo, Zhengguang 1 Huang, Zhongyu 1 Kong, Lei 1 Lesnic, Daniel 1 Li, Kaiqiang 1 Li, Liangpan 1 Li, Yongjun 1 Lian, Xinze 1 Miao, Binbin 1 Qin, Xiaohong 1 Wang, Jinfeng 1 Wang, Yejuan 1 Wu, Heling 1 Xu, Chongbin 1 Xu, Mingyue 1 Xue, Rui 1 Yang, Ting-Hui 1 Ying, Yulin 1 Zhang, Linghai 1 Zhang, Xiaoqian 1 Zhao, Mei 1 Zhou, Shenfan 1 Zhu, Zheqi 1 Zhuang, Rong 1 Zou, Tianfang all top 5 Serials 10 Applied Mathematics and Computation 8 Journal of Differential Equations 8 Acta Mathematica Scientia. Series A. (Chinese Edition) 6 Acta Mathematica Scientia. Series B. (English Edition) 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Discrete and Continuous Dynamical Systems 4 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Applied Mathematics Letters 3 Nonlinear Analysis. Real World Applications 3 Discrete and Continuous Dynamical Systems. Series B 3 Acta Mathematica Sinica. Chinese Series 2 Nonlinearity 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Acta Mathematicae Applicatae Sinica 2 Abstract and Applied Analysis 2 Communications in Nonlinear Science and Numerical Simulation 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Communications in Mathematical Sciences 2 Dynamics of Partial Differential Equations 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Applied Analysis and Computation 1 Journal of Computational and Applied Mathematics 1 Quarterly of Applied Mathematics 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 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 Advances in Differential Equations 1 Journal of Difference Equations and Applications 1 Differential Equations and Dynamical Systems 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 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 Acta Analysis Functionalis Applicata. AAFA 1 Journal of Evolution Equations 1 Journal of Applied Mathematics 1 Stochastics and Dynamics 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 1 Evolution Equations and Control Theory 1 Electronic Research Archive all top 5 Fields 99 Partial differential equations (35-XX) 61 Fluid mechanics (76-XX) 32 Dynamical systems and ergodic theory (37-XX) 23 Ordinary differential equations (34-XX) 6 Difference and functional equations (39-XX) 3 Numerical analysis (65-XX) 3 Computer science (68-XX) 3 Biology and other natural sciences (92-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 93 Publications have been cited 1,272 times in 497 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 54 2009 Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier-Stokes equations. Zbl 1411.35051 Zhao, Caidi; Caraballo, Tomás 46 2019 Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications. Zbl 1436.35050 Zhao, Caidi; Li, Yanjiao; Caraballo, Tomás 43 2020 Dynamics of a Leslie-Gower predator-prey model with additive Allee effect. Zbl 1443.92149 Cai, Yongli; Zhao, Caidi; Wang, Weiming; Wang, Jinfeng 42 2015 Pullback attractors and invariant measures for discrete Klein-Gordon-Schrödinger equations. Zbl 1415.35059 Zhao, Caidi; Xue, Gang; Łukaszewicz, Grzegorz 38 2018 Attractors of retarded first order lattice systems. Zbl 1130.34053 Zhao, Caidi; Zhou, Shengfan 37 2007 Pullback attractors for a non-autonomous incompressible non-Newtonian fluid. Zbl 1152.35012 Zhao, Caidi; Zhou, Shengfan 37 2007 Pullback attractors and invariant measures for the non-autonomous globally modified Navier-Stokes equations. Zbl 1391.35073 Zhao, Caidi; Yang, Ling 37 2017 Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations. Zbl 1459.35060 Zhao, Caidi; Caraballo, Tomás; Łukaszewicz, Grzegorz 35 2021 Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays. Zbl 1454.35262 Wang, Jintao; Zhao, Caidi; Caraballo, Tomás 34 2020 \(H^{2}\)-compact attractor for a non-Newtonian system in two-dimensional unbounded domains. Zbl 1073.35044 Zhao, Caidi; Li, Yongsheng 32 2004 Compact uniform attractors for dissipative lattice dynamical systems with delays. Zbl 1153.37037 Zhao, Caidi; Zhou, Shengfan 32 2008 Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations. Zbl 1484.35101 Zhao, Caidi; Wang, Jintao; Caraballo, Tomás 29 2022 Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations. Zbl 1425.37047 Zhao, Caidi; Song, Zhongchun; Caraballo, Tomás 27 2020 Compact kernel sections for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. Zbl 1113.37057 Zhao, Caidi; Zhou, Shengfan 26 2007 Statistical solution and partial degenerate regularity for the 2D non-autonomous magneto-micropolar fluids. Zbl 1467.35267 Zhao, Caidi; Li, Yanjiao; Łukaszewicz, Grzegorz 25 2020 Trajectory statistical solutions for the 3D Navier-Stokes equations: the trajectory attractor approach. Zbl 1433.35249 Zhao, Caidi; Li, Yanjiao; Song, Zhongchun 24 2020 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 24 2009 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 23 2015 Upper bound of decay rate for solutions to the Navier-Stokes-Voigt equations in \(\mathbb{R}^3\). Zbl 1338.35378 Zhao, Caidi; Zhu, Hongjin 22 2015 Pullback attractor and invariant measures for the three-dimensional regularized MHD equations. Zbl 1397.35039 Zhu, Zeqi; Zhao, Caidi 22 2018 Global attractor and Kolmogorov entropy of three component reversible Gray-Scott model on infinite lattices. Zbl 1264.34018 Jia, Xiaolin; Zhao, Caidi; Yang, Xinbo 21 2012 Invariant Borel probability measures for discrete long-wave-short-wave resonance equations. Zbl 1428.35053 Wang, Chengzhi; Xue, Gang; Zhao, Caidi 20 2018 Random attractor for the Ladyzhenskaya model with additive noise. Zbl 1185.35347 Zhao, Caidi; Duan, Jinqiao 20 2010 Dynamics of the discrete coupled nonlinear Schrödinger-Boussinesq equations. Zbl 1291.39019 Yang, Xinbo; Zhao, Caidi; Cao, Juan 19 2013 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 19 2014 Pullback attractors and invariant measures for the discrete Zakharov equations. Zbl 1462.37087 Zhu, Zeqi; Sang, Yanmiao; Zhao, Caidi 17 2019 Compact uniform attractors for dissipative non-autonomous lattice dynamical systems. Zbl 1136.37043 Zhou, Shenfan; Zhao, Caidi; Liao, Xinyuan 17 2007 The existence of uniform attractors for 3D Brinkman-Forchheimer equations. Zbl 1252.35083 You, Yuncheng; Zhao, Caidi; Zhou, Shengfan 17 2012 Smooth pullback attractors for a non-autonomous 2D non-Newtonian fluid and their tempered behaviors. Zbl 1293.35051 Zhao, Caidi; Liu, Guowei; Wang, Weiming 17 2014 Approximation of the incompressible convective Brinkman-Forchheimer equations. Zbl 1259.35170 Zhao, Caidi; You, Yuncheng 16 2012 Trajectory statistical solutions and Liouville type theorem for nonlinear wave equations with polynomial growth. Zbl 1480.35056 Jiang, Huite; Zhao, Caidi 16 2021 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 15 2005 Attractors for discrete nonlinear Schrödinger equation with delay. Zbl 1221.39004 Chen, Tao; Zhou, Sheng-Fan; Zhao, Cai-Di 15 2010 Limit behavior of global attractors for the complex Ginzburg-Landau equation on infinite lattices. Zbl 1138.37048 Zhao, Caidi; Zhou, Shengfan 15 2008 Trajectory attractor and global attractor for a two-dimensional incompressible non-Newtonian fluid. Zbl 1112.35032 Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng 15 2007 Pullback dynamical behaviors of the non-autonomous micropolar fluid flows. Zbl 1327.35042 Zhao, Caidi; Sun, Wenlong; Hsu, Cheng Hsiung 14 2015 Finite dimensionality and upper semicontinuity of compact kernel sections of non-autonomous lattice systems. Zbl 1148.37040 Zhou, Shengfan; Zhao, Caidi; Wang, Yejuan 14 2008 Compact kernel sections for lattice systems with delays. Zbl 1169.34055 Zhao, Caidi; Zhou, Shengfan; Wang, Weiming 14 2009 Compact kernel sections of long-wave-short-wave resonance equations on infinite lattices. Zbl 1133.34031 Zhao, Caidi; Zhou, Shengfan 13 2008 Global attractors for the discrete Klein-Gordon-Schrödinger type equations. Zbl 1304.35121 Li, Chunqiu; Hsu, Cheng Hsiung; Lin, Jian Jhong; Zhao, Caidi 11 2014 Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on infinite lattices. Zbl 1510.35158 Zhao, Caidi; Jiang, Huite; Caraballo, Tomás 11 2021 The trajectory attractor and its limiting behavior for the convective Brinkman-Forchheimer equations. Zbl 1362.35056 Zhao, Caidi; Kong, Lei; Liu, Guowei; Zhao, Min 11 2014 Time decay rate of weak solutions to the generalized MHD equations in \(\mathbb{R}^2\). Zbl 1410.76477 Zhao, Caidi; Li, Bei 10 2017 \(H^1\)-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 10 2008 \(L^2\)-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 10 2007 Spatiotemporal complexity of a Leslie-Gower predator-prey model with the weak Allee effect. Zbl 1397.92563 Cai, Yongli; Zhao, Caidi; Wang, Weiming 10 2013 Existence and regularity of pullback attractors for an incompressible non-Newtonian fluid with delays. Zbl 1180.35128 Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng 9 2009 Pullback trajectory attractors for evolution equations and application to 3D incompressible non-Newtonian fluid. Zbl 1163.35327 Zhao, Caidi; Zhou, Shengfan 9 2008 Time decay rate of solutions to the hyperbolic MHD equations in \(\mathbb{R}^3\). Zbl 1374.35313 Li, Bei; Zhu, Hongjin; Zhao, Caidi 9 2016 Using trajectory attractor to construct trajectory statistical solution for the 3D incompressible micropolar flows. Zbl 07800095 Zhao, Caidi; Li, Yanjiao; Sang, Yanmiao 9 2020 Pullback asymptotic behavior of solutions for a non-autonomous non-Newtonian fluid on two-dimensional unbounded domains. Zbl 1331.76020 Zhao, Caidi 9 2012 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 9 2017 Statistical solutions for a nonautonomous modified Swift-Hohenberg equation. Zbl 1485.35327 Wang, Jintao; Zhang, Xiaoqian; Zhao, Caidi 8 2021 Approximation of the incompressible non-Newtonian fluid equations by the artificial compressibility method. Zbl 1267.35171 Zhao, Caidi 7 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 7 2013 Upper semicontinuity of attractors for lattice systems under singular perturbations. Zbl 1189.34021 Zhao, Caidi; Zhou, Shengfan 7 2010 Global well-posedness and pullback attractors for an incompressible non-Newtonian fluid with infinite delays. Zbl 1361.35136 Zhao, Caidi; Liu, Guowei; An, Rong 7 2017 Uniform attractors for nonautonomous incompressible non-Newtonian fluid with locally uniform integrable external forces. Zbl 1111.35047 Zhao, Caidi; Zhou, Shengfan; Liao, Xinyuan 6 2006 Limiting behavior of a global attractor for lattice nonclassical parabolic equations. Zbl 1260.37053 Zhao, Caidi; Zhou, Shengfan 6 2007 Upper semicontinuity of global attractors for 2D Navier-Stokes equations. Zbl 1270.35356 Zhao, Caidi; Duan, Jinqiao 6 2012 \(H^4\)-boundedness of pullback attractor for a 2D non-Newtonian fluid flow. Zbl 1315.35172 Liu, Guowei; Zhao, Caidi; Cao, Juan 5 2013 Global attractor for a system of the non-Newtonian incompressible fluid in 2D unbounded domains. Zbl 1053.35117 Li, Yongsheng; Zhao, Caidi 5 2002 Algorithmization formula and mechanization to Cauchy problem of high dimensional wave equation. Zbl 1080.65101 Zhao, Caidi 5 2005 Analyticity of the global attractor for the 3D regularized MHD equations. Zbl 1383.35179 Zhao, Caidi; Li, Bei 5 2016 Statistical solution and Kolmogorov entropy for the impulsive discrete Klein-Gordon-Schrödinger-type equations. Zbl 1498.35606 Lin, Zehan; Xu, Chongbin; Zhao, Caidi; Li, Chujin 5 2023 Compact kernel sections and Kolmogorov entropy for the lattice Zakharov equations with a quantum correction. Zbl 1324.35172 Liang, Yunyun; Li, Chujin; Zhao, Caidi 4 2014 Determining nodes of the global attractor for an incompressible non-Newtonian fluid. Zbl 1456.35044 Zhao, Caidi; Li, Yanjiao; Zhang, Mingshu 4 2018 Algorithm and mechanization to Cauchy problem of parabolic equation. Zbl 1080.65102 Zhao, Caidi 4 2005 Uniform attractor of the non-autonomous discrete Selkov model. Zbl 1309.37073 Jia, Xiaolin; Zhao, Caidi; Cao, Juan 4 2014 A random attractor for a two-dimensional incompressible non-Newtonian fluid with multiplicative noise. Zbl 1240.35059 Zhao, Caidi; Li, Yongsheng; Zhou, Shengfan 3 2011 Sufficient conditions for the existence of exponential attractors for lattice systems and applications. Zbl 1224.35044 Zhao, Caidi; Zhou, Shengfan 3 2010 The existence of exponential attractor for discrete Ginzburg-Landau equation. Zbl 1418.37045 Du, Guangyin; Zhu, Zeqi; Zhao, Caidi 3 2015 Existence of the uniform trajectory attractor for a 3D incompressible non-Newtonian fluid flow. Zbl 1399.35080 Wang, Chengzhi; Zhang, Mingshu; Zhao, Caidi 3 2018 Global well-posedness and pullback attractor of a delayed non-Newtonian fluid on two-dimensional unbounded domains. Zbl 1399.35093 Zhao, Caidi; Yang, Ling; Liu, Guowei; Hsu, Cheng Hsiung 3 2017 Pullback exponential attractors for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. Zbl 1470.34146 Li, Chunqiu; Zhao, Min; Zhao, Caidi 3 2013 Statistical solutions and degenerate regularity for the micropolar fluid with generalized Newton constitutive law. Zbl 1531.35270 Zhao, Caidi; Zhang, Yongkang; Caraballo, Tomás; Łukaszewicz, Grzegorz 3 2023 Statistical solutions and Liouville theorem for the second order lattice systems with varying coefficients. Zbl 1527.37089 Zhao, Caidi; Zhuang, Rong 3 2023 Algorithm and mechanization to Cauchy problem of wave equation with linear damping and source terms. Zbl 1092.65078 Zhao, Caidi 2 2006 Uniform attractor for nonautonomous incompressible non-Newtonian fluid with a new class of external forces. Zbl 1249.35029 Zhao, Caidi; Jia, Xiaolin; Yang, Xinbo 2 2011 Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid. Zbl 1143.76010 Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng 2 2008 A note on nonautonomous Klein-Gordon-Schrödinger equations with homogeneous Dirichlet boundary condition. Zbl 1199.35361 Zhao, 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 1165.35329 Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng 2 2008 Finite dimensionality and upper semicontinuity of kernel sections for the discrete Zakharov equations. Zbl 1358.34020 Liang, Yunyun; Guo, Zhengguang; Ying, Yulin; Zhao, Caidi 2 2017 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 2 2015 Dynamics of non-autonomous equations of non-Newtonian fluid on 2D unbounded domains. Zbl 1282.35085 Zhao, Caidi 2 2013 Trajectory attractor for a class of three-dimensional incompressible non-Newtonian fluids. Zbl 1340.35281 Zhao, Caidi; Wu, Heling; Li, Chujin 1 2015 Invariant measures and Liouville type equation for first-order lattice system. Zbl 1463.35105 Li, Yongjun; Sang, Yanmiao; Zhao, Caidi 1 2020 Existence of compact kernel sections for non-autonomous dissipative Schrödinger-Boussinesq equations. Zbl 1313.35027 Li, Chunqiu; Zhao, Caidi; Wang, Weiming 1 2014 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 1 2007 Existence, degenerate regularity and limit behavior of trajectory statistical solution for the 3D incompressible micropolar fluids flows with damping term. Zbl 1518.35560 Zhao, Caidi; Miao, Binbin; Caraballo, Tomás 1 2023 Gevrey class regularity for the global attractor of a two-dimensional non-Newtonian fluid. Zbl 1524.76014 Zhao, Caidi; Lin, Zehan; Medjo, T. Tachim 1 2022 Homogenization of trajectory statistical solutions for the 3D incompressible magneto-micropolar fluids. Zbl 1527.35036 Yang, Hujun; Han, Xiaoling; Wang, Xuan; Zhao, Caidi 1 2023 Statistical solution and Kolmogorov entropy for the impulsive discrete Klein-Gordon-Schrödinger-type equations. Zbl 1498.35606 Lin, Zehan; Xu, Chongbin; Zhao, Caidi; Li, Chujin 5 2023 Statistical solutions and degenerate regularity for the micropolar fluid with generalized Newton constitutive law. Zbl 1531.35270 Zhao, Caidi; Zhang, Yongkang; Caraballo, Tomás; Łukaszewicz, Grzegorz 3 2023 Statistical solutions and Liouville theorem for the second order lattice systems with varying coefficients. Zbl 1527.37089 Zhao, Caidi; Zhuang, Rong 3 2023 Existence, degenerate regularity and limit behavior of trajectory statistical solution for the 3D incompressible micropolar fluids flows with damping term. Zbl 1518.35560 Zhao, Caidi; Miao, Binbin; Caraballo, Tomás 1 2023 Homogenization of trajectory statistical solutions for the 3D incompressible magneto-micropolar fluids. Zbl 1527.35036 Yang, Hujun; Han, Xiaoling; Wang, Xuan; Zhao, Caidi 1 2023 Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations. Zbl 1484.35101 Zhao, Caidi; Wang, Jintao; Caraballo, Tomás 29 2022 Gevrey class regularity for the global attractor of a two-dimensional non-Newtonian fluid. Zbl 1524.76014 Zhao, Caidi; Lin, Zehan; Medjo, T. Tachim 1 2022 Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations. Zbl 1459.35060 Zhao, Caidi; Caraballo, Tomás; Łukaszewicz, Grzegorz 35 2021 Trajectory statistical solutions and Liouville type theorem for nonlinear wave equations with polynomial growth. Zbl 1480.35056 Jiang, Huite; Zhao, Caidi 16 2021 Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on infinite lattices. Zbl 1510.35158 Zhao, Caidi; Jiang, Huite; Caraballo, Tomás 11 2021 Statistical solutions for a nonautonomous modified Swift-Hohenberg equation. Zbl 1485.35327 Wang, Jintao; Zhang, Xiaoqian; Zhao, Caidi 8 2021 Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications. Zbl 1436.35050 Zhao, Caidi; Li, Yanjiao; Caraballo, Tomás 43 2020 Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays. Zbl 1454.35262 Wang, Jintao; Zhao, Caidi; Caraballo, Tomás 34 2020 Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations. Zbl 1425.37047 Zhao, Caidi; Song, Zhongchun; Caraballo, Tomás 27 2020 Statistical solution and partial degenerate regularity for the 2D non-autonomous magneto-micropolar fluids. Zbl 1467.35267 Zhao, Caidi; Li, Yanjiao; Łukaszewicz, Grzegorz 25 2020 Trajectory statistical solutions for the 3D Navier-Stokes equations: the trajectory attractor approach. Zbl 1433.35249 Zhao, Caidi; Li, Yanjiao; Song, Zhongchun 24 2020 Using trajectory attractor to construct trajectory statistical solution for the 3D incompressible micropolar flows. Zbl 07800095 Zhao, Caidi; Li, Yanjiao; Sang, Yanmiao 9 2020 Invariant measures and Liouville type equation for first-order lattice system. Zbl 1463.35105 Li, Yongjun; Sang, Yanmiao; Zhao, Caidi 1 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 46 2019 Pullback attractors and invariant measures for the discrete Zakharov equations. Zbl 1462.37087 Zhu, Zeqi; Sang, Yanmiao; Zhao, Caidi 17 2019 Pullback attractors and invariant measures for discrete Klein-Gordon-Schrödinger equations. Zbl 1415.35059 Zhao, Caidi; Xue, Gang; Łukaszewicz, Grzegorz 38 2018 Pullback attractor and invariant measures for the three-dimensional regularized MHD equations. Zbl 1397.35039 Zhu, Zeqi; Zhao, Caidi 22 2018 Invariant Borel probability measures for discrete long-wave-short-wave resonance equations. Zbl 1428.35053 Wang, Chengzhi; Xue, Gang; Zhao, Caidi 20 2018 Determining nodes of the global attractor for an incompressible non-Newtonian fluid. Zbl 1456.35044 Zhao, Caidi; Li, Yanjiao; Zhang, Mingshu 4 2018 Existence of the uniform trajectory attractor for a 3D incompressible non-Newtonian fluid flow. Zbl 1399.35080 Wang, Chengzhi; Zhang, Mingshu; Zhao, Caidi 3 2018 Pullback attractors and invariant measures for the non-autonomous globally modified Navier-Stokes equations. Zbl 1391.35073 Zhao, Caidi; Yang, Ling 37 2017 Time decay rate of weak solutions to the generalized MHD equations in \(\mathbb{R}^2\). Zbl 1410.76477 Zhao, Caidi; Li, Bei 10 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 9 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 7 2017 Global well-posedness and pullback attractor of a delayed non-Newtonian fluid on two-dimensional unbounded domains. Zbl 1399.35093 Zhao, Caidi; Yang, Ling; Liu, Guowei; Hsu, Cheng Hsiung 3 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 2 2017 Time decay rate of solutions to the hyperbolic MHD equations in \(\mathbb{R}^3\). Zbl 1374.35313 Li, Bei; Zhu, Hongjin; Zhao, Caidi 9 2016 Analyticity of the global attractor for the 3D regularized MHD equations. Zbl 1383.35179 Zhao, Caidi; Li, Bei 5 2016 Dynamics of a Leslie-Gower predator-prey model with additive Allee effect. Zbl 1443.92149 Cai, Yongli; Zhao, Caidi; Wang, Weiming; Wang, Jinfeng 42 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 23 2015 Upper bound of decay rate for solutions to the Navier-Stokes-Voigt equations in \(\mathbb{R}^3\). Zbl 1338.35378 Zhao, Caidi; Zhu, Hongjin 22 2015 Pullback dynamical behaviors of the non-autonomous micropolar fluid flows. Zbl 1327.35042 Zhao, Caidi; Sun, Wenlong; Hsu, Cheng Hsiung 14 2015 The existence of exponential attractor for discrete Ginzburg-Landau equation. Zbl 1418.37045 Du, Guangyin; Zhu, Zeqi; Zhao, Caidi 3 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 2 2015 Trajectory attractor for a class of three-dimensional incompressible non-Newtonian fluids. Zbl 1340.35281 Zhao, 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 1297.35194 Zhao, Caidi; Liang, Yunyun; Zhao, Min 19 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 17 2014 Global attractors for the discrete Klein-Gordon-Schrödinger type equations. Zbl 1304.35121 Li, Chunqiu; Hsu, Cheng Hsiung; Lin, Jian Jhong; Zhao, Caidi 11 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 11 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 4 2014 Uniform attractor of the non-autonomous discrete Selkov model. Zbl 1309.37073 Jia, Xiaolin; Zhao, Caidi; Cao, Juan 4 2014 Existence of compact kernel sections for non-autonomous dissipative Schrödinger-Boussinesq equations. Zbl 1313.35027 Li, Chunqiu; Zhao, Caidi; Wang, Weiming 1 2014 Dynamics of the discrete coupled nonlinear Schrödinger-Boussinesq equations. Zbl 1291.39019 Yang, Xinbo; Zhao, Caidi; Cao, Juan 19 2013 Spatiotemporal complexity of a Leslie-Gower predator-prey model with the weak Allee effect. Zbl 1397.92563 Cai, Yongli; Zhao, Caidi; Wang, Weiming 10 2013 Approximation of the incompressible non-Newtonian fluid equations by the artificial compressibility method. Zbl 1267.35171 Zhao, Caidi 7 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 7 2013 \(H^4\)-boundedness of pullback attractor for a 2D non-Newtonian fluid flow. Zbl 1315.35172 Liu, Guowei; Zhao, Caidi; Cao, Juan 5 2013 Pullback exponential attractors for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. Zbl 1470.34146 Li, Chunqiu; Zhao, Min; Zhao, Caidi 3 2013 Dynamics of non-autonomous equations of non-Newtonian fluid on 2D unbounded domains. Zbl 1282.35085 Zhao, Caidi 2 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 21 2012 The existence of uniform attractors for 3D Brinkman-Forchheimer equations. Zbl 1252.35083 You, Yuncheng; Zhao, Caidi; Zhou, Shengfan 17 2012 Approximation of the incompressible convective Brinkman-Forchheimer equations. Zbl 1259.35170 Zhao, Caidi; You, Yuncheng 16 2012 Pullback asymptotic behavior of solutions for a non-autonomous non-Newtonian fluid on two-dimensional unbounded domains. Zbl 1331.76020 Zhao, Caidi 9 2012 Upper semicontinuity of global attractors for 2D Navier-Stokes equations. Zbl 1270.35356 Zhao, Caidi; Duan, Jinqiao 6 2012 A random attractor for a two-dimensional incompressible non-Newtonian fluid with multiplicative noise. Zbl 1240.35059 Zhao, Caidi; Li, Yongsheng; Zhou, Shengfan 3 2011 Uniform attractor for nonautonomous incompressible non-Newtonian fluid with a new class of external forces. Zbl 1249.35029 Zhao, Caidi; Jia, Xiaolin; Yang, Xinbo 2 2011 Random attractor for the Ladyzhenskaya model with additive noise. Zbl 1185.35347 Zhao, Caidi; Duan, Jinqiao 20 2010 Attractors for discrete nonlinear Schrödinger equation with delay. Zbl 1221.39004 Chen, Tao; Zhou, Sheng-Fan; Zhao, Cai-Di 15 2010 Upper semicontinuity of attractors for lattice systems under singular perturbations. Zbl 1189.34021 Zhao, Caidi; Zhou, Shengfan 7 2010 Sufficient conditions for the existence of exponential attractors for lattice systems and applications. Zbl 1224.35044 Zhao, Caidi; Zhou, Shengfan 3 2010 Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applications. Zbl 1192.37106 Zhao, Caidi; Zhou, Shengfan 54 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 24 2009 Compact kernel sections for lattice systems with delays. Zbl 1169.34055 Zhao, Caidi; Zhou, Shengfan; Wang, Weiming 14 2009 Existence and regularity of pullback attractors for an incompressible non-Newtonian fluid with delays. Zbl 1180.35128 Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng 9 2009 Compact uniform attractors for dissipative lattice dynamical systems with delays. Zbl 1153.37037 Zhao, Caidi; Zhou, Shengfan 32 2008 Limit behavior of global attractors for the complex Ginzburg-Landau equation on infinite lattices. Zbl 1138.37048 Zhao, Caidi; Zhou, Shengfan 15 2008 Finite dimensionality and upper semicontinuity of compact kernel sections of non-autonomous lattice systems. Zbl 1148.37040 Zhou, Shengfan; Zhao, Caidi; Wang, Yejuan 14 2008 Compact kernel sections of long-wave-short-wave resonance equations on infinite lattices. Zbl 1133.34031 Zhao, Caidi; Zhou, Shengfan 13 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 10 2008 Pullback trajectory attractors for evolution equations and application to 3D incompressible non-Newtonian fluid. Zbl 1163.35327 Zhao, Caidi; Zhou, Shengfan 9 2008 Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid. Zbl 1143.76010 Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng 2 2008 A note on nonautonomous Klein-Gordon-Schrödinger equations with homogeneous Dirichlet boundary condition. Zbl 1199.35361 Zhao, 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 1165.35329 Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng 2 2008 Attractors of retarded first order lattice systems. Zbl 1130.34053 Zhao, Caidi; Zhou, Shengfan 37 2007 Pullback attractors for a non-autonomous incompressible non-Newtonian fluid. Zbl 1152.35012 Zhao, Caidi; Zhou, Shengfan 37 2007 Compact kernel sections for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. Zbl 1113.37057 Zhao, Caidi; Zhou, Shengfan 26 2007 Compact uniform attractors for dissipative non-autonomous lattice dynamical systems. Zbl 1136.37043 Zhou, Shenfan; Zhao, Caidi; Liao, Xinyuan 17 2007 Trajectory attractor and global attractor for a two-dimensional incompressible non-Newtonian fluid. Zbl 1112.35032 Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng 15 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 10 2007 Limiting behavior of a global attractor for lattice nonclassical parabolic equations. Zbl 1260.37053 Zhao, Caidi; Zhou, Shengfan 6 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 1 2007 Uniform attractors for nonautonomous incompressible non-Newtonian fluid with locally uniform integrable external forces. Zbl 1111.35047 Zhao, Caidi; Zhou, Shengfan; Liao, Xinyuan 6 2006 Algorithm and mechanization to Cauchy problem of wave equation with linear damping and source terms. Zbl 1092.65078 Zhao, Caidi 2 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 15 2005 Algorithmization formula and mechanization to Cauchy problem of high dimensional wave equation. Zbl 1080.65101 Zhao, Caidi 5 2005 Algorithm and mechanization to Cauchy problem of parabolic equation. Zbl 1080.65102 Zhao, Caidi 4 2005 \(H^{2}\)-compact attractor for a non-Newtonian system in two-dimensional unbounded domains. Zbl 1073.35044 Zhao, Caidi; Li, Yongsheng 32 2004 Global attractor for a system of the non-Newtonian incompressible fluid in 2D unbounded domains. Zbl 1053.35117 Li, Yongsheng; Zhao, Caidi 5 2002 all cited Publications top 5 cited Publications all top 5 Cited by 608 Authors 70 Zhao, Caidi 42 Zhou, Shengfan 26 Caraballo Garrido, Tomás 19 Li, Yangrong 17 Wang, Renhai 14 Wang, Jintao 13 Cung The Anh 12 Li, Chunqiu 12 Shu, Ji 11 Abdallah, Ahmed Y. 10 Han, Xiaoying 9 Gu, Anhui 9 Liu, Guowei 9 She, Lianbing 8 Chen, Zhang 8 Li, Dingshi 8 Li, Yongsheng 8 Wang, Zhaojuan 8 Yang, Xinguang 7 Guo, Jong-Shenq 7 Morillas, Francisco G. 7 Sun, Wenlong 7 Valero, José 7 Zhang, Qiangheng 6 Guo, Chunxiao 6 Jia, Yan 6 Li, Yanjiao 6 Liu, Hui 6 Łukaszewicz, Grzegorz 6 Wang, Bixiang 6 Zhao, Min 5 Huang, Jianhua 5 Mohan, Manil Thankamani 5 Wang, Weiming 5 Yang, Dandan 5 Zhao, Wenqiang 4 Caucao, Sergio 4 Duan, Jinqiao 4 Duan, Ning 4 Han, Xiaoling 4 Kinra, Kush 4 Li, Xintao 4 Li, You 4 Lu, Yongjin 4 Nguyen Huy Tuan 4 Qin, Yuming 4 Song, Yukun 4 Straughan, Brian 4 Sun, Chengfeng 4 Wang, Yejuan 4 Yang, Hujun 4 Ye, Yong 4 Zhang, Jian 4 Zhao, Xiaopeng 4 Zhu, Zeqi 3 Ai, Chengfei 3 Cao, Juan 3 Chen, Fengde 3 Chen, Yang 3 Gatica, Gabriel N. 3 Giletti, Thomas 3 Guo, Boling 3 Hennig, Dirk 3 Huang, Lan 3 Huang, Tousheng 3 Jiang, Huite 3 Kloeden, Peter Eris 3 Lesnic, Daniel 3 Li, Congcong 3 Li, Hui 3 Li, Jin 3 Li, Yong 3 Lin, Jian Jhong 3 Ma, Ming 3 Nguyet, Tran Minh 3 Pereira, Jardel Morais 3 Shi, Lin 3 Sun, Chunyou 3 Tan, Zhong 3 Trang, Pham Thi 3 Wang, Fengling 3 Wang, Xiaohu 3 Wannan, Rania T. 3 Wei, Yumei 3 Xie, Qianqian 3 Xie, Yongqin 3 Xin, Jie 3 Yang, Zhijian 3 Zhang, Huayong 3 Zhang, Kai 3 Zhang, Pan 3 Zhang, Xiaoqian 3 Zhu, Kaixuan 2 Abu-Shaab, Heba N. 2 Ağirseven, Deniz 2 Aguirre, Pablo 2 Al-Khader, Taqwa M. 2 Ashyralyev, Allaberen 2 Bai, Qianqian 2 Ban, Ailing ...and 508 more Authors all top 5 Cited in 117 Serials 34 Discrete and Continuous Dynamical Systems. Series B 29 Journal of Differential Equations 25 Journal of Mathematical Physics 21 Journal of Mathematical Analysis and Applications 19 Applied Mathematics and Computation 15 Mathematical Methods in the Applied Sciences 14 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Nonlinear Analysis. Real World Applications 13 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 12 Advances in Difference Equations 11 Journal of Difference Equations and Applications 11 Discrete Dynamics in Nature and Society 10 Communications in Nonlinear Science and Numerical Simulation 10 Boundary Value Problems 9 Journal of Dynamics and Differential Equations 9 Discrete and Continuous Dynamical Systems 8 Abstract and Applied Analysis 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Applied Mathematics and Optimization 7 Discrete and Continuous Dynamical Systems. Series S 7 Journal of Applied Analysis and Computation 7 Electronic Research Archive 6 Applied Mathematics Letters 6 Communications on Pure and Applied Analysis 6 Evolution Equations and Control Theory 6 AIMS Mathematics 5 Applicable Analysis 5 Chaos, Solitons and Fractals 5 Qualitative Theory of Dynamical Systems 5 Dynamical Systems 5 Acta Mathematica Scientia. Series B. (English Edition) 5 Stochastics and Dynamics 4 Nonlinearity 4 Acta Applicandae Mathematicae 4 Journal of Mathematical Fluid Mechanics 4 Acta Mathematica Sinica. English Series 3 Computers & Mathematics with Applications 3 Journal of Computational and Applied Mathematics 3 Applied Mathematics and Mechanics. (English Edition) 3 Acta Mathematicae Applicatae Sinica. English Series 3 Complexity 3 Open Mathematics 2 Annales Polonici Mathematici 2 International Journal of Mathematics and Mathematical Sciences 2 Mathematics and Computers in Simulation 2 Studies in Applied Mathematics 2 Acta Mathematicae Applicatae Sinica 2 Physica D 2 Journal of Scientific Computing 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Journal of Nonlinear Science 2 Topological Methods in Nonlinear Analysis 2 Advances in Differential Equations 2 Mathematical Problems in Engineering 2 Journal of Evolution Equations 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Journal of Applied Mathematics 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Mediterranean Journal of Mathematics 2 Applications and Applied Mathematics 2 Banach Journal of Mathematical Analysis 2 Advances in Mathematical Physics 2 Science China. Mathematics 1 Communications in Mathematical Physics 1 Journal of Mathematical Biology 1 Physica A 1 Physics Letters. A 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 Acta Mathematica Vietnamica 1 Calcolo 1 Demonstratio Mathematica 1 Journal of the Korean Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Quarterly of Applied Mathematics 1 Ricerche di Matematica 1 Tamkang Journal of Mathematics 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Numerical Methods for Partial Differential Equations 1 Journal of Theoretical Probability 1 Asymptotic Analysis 1 Japan Journal of Industrial and Applied Mathematics 1 The Journal of Geometric Analysis 1 SIAM Journal on Mathematical Analysis 1 Stochastic Processes and their Applications 1 Journal of Partial Differential Equations 1 Georgian Mathematical Journal 1 Fractals 1 Filomat 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Differential Equations and Dynamical Systems 1 Taiwanese Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Communications of the Korean Mathematical Society 1 Applied Sciences ...and 17 more Serials all top 5 Cited in 24 Fields 340 Partial differential equations (35-XX) 186 Dynamical systems and ergodic theory (37-XX) 158 Fluid mechanics (76-XX) 96 Ordinary differential equations (34-XX) 94 Probability theory and stochastic processes (60-XX) 74 Biology and other natural sciences (92-XX) 22 Difference and functional equations (39-XX) 17 Numerical analysis (65-XX) 8 Operator theory (47-XX) 7 Real functions (26-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of deformable solids (74-XX) 7 Systems theory; control (93-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 Geophysics (86-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) Citations by Year