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Author ID: zhao.caidi Recent zbMATH articles by "Zhao, Caidi"
Published as: Zhao, Caidi; Zhao, Cai Di; Zhao, Cai-Di; Zhao, caidi; Zhao, CaiDi
External Links: ORCID · ResearchGate · dblp
Documents Indexed: 110 Publications since 2002
1 Contribution as Editor
Reviewing Activity: 41 Reviews
Co-Authors: 66 Co-Authors with 102 Joint Publications
1,926 Co-Co-Authors
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 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 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 Discrete and Continuous Dynamical Systems. Series S
1 Science China. Mathematics
1 Electronic Research Archive

Publications by Year

Citations contained in zbMATH Open

93 Publications have been cited 1,158 times in 455 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
41
2019
Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications. Zbl 1436.35050
Zhao, Caidi; Li, Yanjiao; Caraballo, Tomás
38
2020
Dynamics of a Leslie-Gower predator-prey model with additive Allee effect. Zbl 1443.92149
Cai, Yongli; Zhao, Caidi; Wang, Weiming; Wang, Jinfeng
36
2015
Pullback attractors for a non-autonomous incompressible non-Newtonian fluid. Zbl 1152.35012
Zhao, Caidi; Zhou, Shengfan
35
2007
Attractors of retarded first order lattice systems. Zbl 1130.34053
Zhao, Caidi; Zhou, Shengfan
34
2007
Pullback attractors and invariant measures for discrete Klein-Gordon-Schrödinger equations. Zbl 1415.35059
Zhao, Caidi; Xue, Gang; Łukaszewicz, Grzegorz
34
2018
Pullback attractors and invariant measures for the non-autonomous globally modified Navier-Stokes equations. Zbl 1391.35073
Zhao, Caidi; Yang, Ling
31
2017
Compact uniform attractors for dissipative lattice dynamical systems with delays. Zbl 1153.37037
Zhao, Caidi; Zhou, Shengfan
31
2008
Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations. Zbl 1459.35060
Zhao, Caidi; Caraballo, Tomás; Łukaszewicz, Grzegorz
31
2021
\(H^{2}\)-compact attractor for a non-Newtonian system in two-dimensional unbounded domains. Zbl 1073.35044
Zhao, Caidi; Li, Yongsheng
30
2004
Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays. Zbl 1454.35262
Wang, Jintao; Zhao, Caidi; Caraballo, Tomás
30
2020
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
26
2022
Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations. Zbl 1425.37047
Zhao, Caidi; Song, Zhongchun; Caraballo, Tomás
25
2020
Compact kernel sections for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. Zbl 1113.37057
Zhao, Caidi; Zhou, Shengfan
24
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
22
2009
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
Trajectory statistical solutions for the 3D Navier-Stokes equations: the trajectory attractor approach. Zbl 1433.35249
Zhao, Caidi; Li, Yanjiao; Song, Zhongchun
22
2020
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
Random attractor for the Ladyzhenskaya model with additive noise. Zbl 1185.35347
Zhao, Caidi; Duan, Jinqiao
20
2010
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
20
2015
Statistical solution and partial degenerate regularity for the 2D non-autonomous magneto-micropolar fluids. Zbl 1467.35267
Zhao, Caidi; Li, Yanjiao; Łukaszewicz, Grzegorz
20
2020
Pullback attractor and invariant measures for the three-dimensional regularized MHD equations. Zbl 1397.35039
Zhu, Zeqi; Zhao, Caidi
19
2018
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
18
2014
Invariant Borel probability measures for discrete long-wave-short-wave resonance equations. Zbl 1428.35053
Wang, Chengzhi; Xue, Gang; Zhao, Caidi
18
2018
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
16
2007
Dynamics of the discrete coupled nonlinear Schrödinger-Boussinesq equations. Zbl 1291.39019
Yang, Xinbo; Zhao, Caidi; Cao, Juan
16
2013
The existence of uniform attractors for 3D Brinkman-Forchheimer equations. Zbl 1252.35083
You, Yuncheng; Zhao, Caidi; Zhou, Shengfan
15
2012
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
Smooth pullback attractors for a non-autonomous 2D non-Newtonian fluid and their tempered behaviors. Zbl 1293.35051
Zhao, Caidi; Liu, Guowei; Wang, Weiming
15
2014
Pullback attractors and invariant measures for the discrete Zakharov equations. Zbl 1462.37087
Zhu, Zeqi; Sang, Yanmiao; Zhao, Caidi
15
2019
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
Trajectory statistical solutions and Liouville type theorem for nonlinear wave equations with polynomial growth. Zbl 1480.35056
Jiang, Huite; Zhao, Caidi
14
2021
Approximation of the incompressible convective Brinkman-Forchheimer equations. Zbl 1259.35170
Zhao, Caidi; You, Yuncheng
14
2012
Limit behavior of global attractors for the complex Ginzburg-Landau equation on infinite lattices. Zbl 1138.37048
Zhao, Caidi; Zhou, Shengfan
13
2008
Pullback dynamical behaviors of the non-autonomous micropolar fluid flows. Zbl 1327.35042
Zhao, Caidi; Sun, Wenlong; Hsu, Cheng Hsiung
13
2015
Attractors for discrete nonlinear Schrödinger equation with delay. Zbl 1221.39004
Chen, Tao; Zhou, Sheng-Fan; Zhao, Cai-Di
13
2010
Compact kernel sections for lattice systems with delays. Zbl 1169.34055
Zhao, Caidi; Zhou, Shengfan; Wang, Weiming
12
2009
Compact kernel sections of long-wave-short-wave resonance equations on infinite lattices. Zbl 1133.34031
Zhao, Caidi; Zhou, Shengfan
12
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
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
Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on infinite lattices. Zbl 1510.35158
Zhao, Caidi; Jiang, Huite; Caraballo, Tomás
10
2021
\(L^2\)-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
9
2007
\(H^1\)-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
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
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 weak solutions to the generalized MHD equations in \(\mathbb{R}^2\). Zbl 1410.76477
Zhao, Caidi; Li, Bei
9
2017
Existence and regularity of pullback attractors for an incompressible non-Newtonian fluid with delays. Zbl 1180.35128
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
8
2009
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
8
2017
Statistical solutions for a nonautonomous modified Swift-Hohenberg equation. Zbl 1485.35327
Wang, Jintao; Zhang, Xiaoqian; Zhao, Caidi
8
2021
Pullback asymptotic behavior of solutions for a non-autonomous non-Newtonian fluid on two-dimensional unbounded domains. Zbl 1331.76020
Zhao, Caidi
8
2012
Spatiotemporal complexity of a Leslie-Gower predator-prey model with the weak Allee effect. Zbl 1397.92563
Cai, Yongli; Zhao, Caidi; Wang, Weiming
8
2013
Upper semicontinuity of attractors for lattice systems under singular perturbations. Zbl 1189.34021
Zhao, Caidi; Zhou, Shengfan
7
2010
Approximation of the incompressible non-Newtonian fluid equations by the artificial compressibility method. Zbl 1267.35171
Zhao, Caidi
7
2013
Limiting behavior of a global attractor for lattice nonclassical parabolic equations. Zbl 1260.37053
Zhao, Caidi; Zhou, Shengfan
6
2007
Global well-posedness and pullback attractors for an incompressible non-Newtonian fluid with infinite delays. Zbl 1361.35136
Zhao, Caidi; Liu, Guowei; An, Rong
6
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
6
2013
Uniform attractors for nonautonomous incompressible non-Newtonian fluid with locally uniform integrable external forces. Zbl 1111.35047
Zhao, Caidi; Zhou, Shengfan; Liao, Xinyuan
5
2006
Algorithmization formula and mechanization to Cauchy problem of high dimensional wave equation. Zbl 1080.65101
Zhao, Caidi
5
2005
\(H^4\)-boundedness of pullback attractor for a 2D non-Newtonian fluid flow. Zbl 1315.35172
Liu, Guowei; Zhao, Caidi; Cao, Juan
5
2013
Algorithm and mechanization to Cauchy problem of parabolic equation. Zbl 1080.65102
Zhao, Caidi
4
2005
Analyticity of the global attractor for the 3D regularized MHD equations. Zbl 1383.35179
Zhao, Caidi; Li, Bei
4
2016
Global attractor for a system of the non-Newtonian incompressible fluid in 2D unbounded domains. Zbl 1053.35117
Li, Yongsheng; Zhao, Caidi
4
2002
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
Upper semicontinuity of global attractors for 2D Navier-Stokes equations. Zbl 1270.35356
Zhao, Caidi; Duan, Jinqiao
4
2012
Uniform attractor of the non-autonomous discrete Selkov model. Zbl 1309.37073
Jia, Xiaolin; Zhao, Caidi; Cao, Juan
4
2014
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
4
2023
Sufficient conditions for the existence of exponential attractors for lattice systems and applications. Zbl 1224.35044
Zhao, Caidi; Zhou, Shengfan
3
2010
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
The existence of exponential attractor for discrete Ginzburg-Landau equation. Zbl 1418.37045
Du, Guangyin; Zhu, Zeqi; Zhao, Caidi
3
2015
Statistical solutions and Liouville theorem for the second order lattice systems with varying coefficients. Zbl 1527.37089
Zhao, Caidi; Zhuang, Rong
3
2023
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 exponential attractors for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. Zbl 1470.34146
Li, Chunqiu; Zhao, Min; Zhao, Caidi
3
2013
Using trajectory attractor to construct trajectory statistical solution for the 3D incompressible micropolar flows. Zbl 07800095
Zhao, Caidi; Li, Yanjiao; Sang, Yanmiao
3
2020
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
2
2017
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
A note on nonautonomous Klein-Gordon-Schrödinger equations with homogeneous Dirichlet boundary condition. Zbl 1199.35361
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2
2008
Algorithm and mechanization to Cauchy problem of wave equation with linear damping and source terms. Zbl 1092.65078
Zhao, Caidi
2
2006
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
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
Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid. Zbl 1143.76010
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2
2008
Determining nodes of the global attractor for an incompressible non-Newtonian fluid. Zbl 1456.35044
Zhao, Caidi; Li, Yanjiao; Zhang, Mingshu
2
2018
Statistical solutions and degenerate regularity for the micropolar fluid with generalized Newton constitutive law. Zbl 07783860
Zhao, Caidi; Zhang, Yongkang; Caraballo, Tomás; Łukaszewicz, Grzegorz
2
2023
Dynamics of non-autonomous equations of non-Newtonian fluid on 2D unbounded domains. Zbl 1282.35085
Zhao, Caidi
2
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
1
2007
Trajectory attractor for a class of three-dimensional incompressible non-Newtonian fluids. Zbl 1340.35281
Zhao, Caidi; Wu, Heling; Li, Chujin
1
2015
Existence of compact kernel sections for non-autonomous dissipative Schrödinger-Boussinesq equations. Zbl 1313.35027
Li, Chunqiu; Zhao, Caidi; Wang, Weiming
1
2014
Invariant measures and Liouville type equation for first-order lattice system. Zbl 1463.35105
Li, Yongjun; Sang, Yanmiao; Zhao, Caidi
1
2020
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
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
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
4
2023
Statistical solutions and Liouville theorem for the second order lattice systems with varying coefficients. Zbl 1527.37089
Zhao, Caidi; Zhuang, Rong
3
2023
Statistical solutions and degenerate regularity for the micropolar fluid with generalized Newton constitutive law. Zbl 07783860
Zhao, Caidi; Zhang, Yongkang; Caraballo, Tomás; Łukaszewicz, Grzegorz
2
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
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
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
26
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
31
2021
Trajectory statistical solutions and Liouville type theorem for nonlinear wave equations with polynomial growth. Zbl 1480.35056
Jiang, Huite; Zhao, Caidi
14
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
10
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
38
2020
Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays. Zbl 1454.35262
Wang, Jintao; Zhao, Caidi; Caraballo, Tomás
30
2020
Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations. Zbl 1425.37047
Zhao, Caidi; Song, Zhongchun; Caraballo, Tomás
25
2020
Trajectory statistical solutions for the 3D Navier-Stokes equations: the trajectory attractor approach. Zbl 1433.35249
Zhao, Caidi; Li, Yanjiao; Song, Zhongchun
22
2020
Statistical solution and partial degenerate regularity for the 2D non-autonomous magneto-micropolar fluids. Zbl 1467.35267
Zhao, Caidi; Li, Yanjiao; Łukaszewicz, Grzegorz
20
2020
Using trajectory attractor to construct trajectory statistical solution for the 3D incompressible micropolar flows. Zbl 07800095
Zhao, Caidi; Li, Yanjiao; Sang, Yanmiao
3
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
41
2019
Pullback attractors and invariant measures for the discrete Zakharov equations. Zbl 1462.37087
Zhu, Zeqi; Sang, Yanmiao; Zhao, Caidi
15
2019
Pullback attractors and invariant measures for discrete Klein-Gordon-Schrödinger equations. Zbl 1415.35059
Zhao, Caidi; Xue, Gang; Łukaszewicz, Grzegorz
34
2018
Pullback attractor and invariant measures for the three-dimensional regularized MHD equations. Zbl 1397.35039
Zhu, Zeqi; Zhao, Caidi
19
2018
Invariant Borel probability measures for discrete long-wave-short-wave resonance equations. Zbl 1428.35053
Wang, Chengzhi; Xue, Gang; Zhao, Caidi
18
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
Determining nodes of the global attractor for an incompressible non-Newtonian fluid. Zbl 1456.35044
Zhao, Caidi; Li, Yanjiao; Zhang, Mingshu
2
2018
Pullback attractors and invariant measures for the non-autonomous globally modified Navier-Stokes equations. Zbl 1391.35073
Zhao, Caidi; Yang, Ling
31
2017
Time decay rate of weak solutions to the generalized MHD equations in \(\mathbb{R}^2\). Zbl 1410.76477
Zhao, Caidi; Li, Bei
9
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
8
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
6
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
2
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
4
2016
Dynamics of a Leslie-Gower predator-prey model with additive Allee effect. Zbl 1443.92149
Cai, Yongli; Zhao, Caidi; Wang, Weiming; Wang, Jinfeng
36
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
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
20
2015
Pullback dynamical behaviors of the non-autonomous micropolar fluid flows. Zbl 1327.35042
Zhao, Caidi; Sun, Wenlong; Hsu, Cheng Hsiung
13
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
18
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
15
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
16
2013
Spatiotemporal complexity of a Leslie-Gower predator-prey model with the weak Allee effect. Zbl 1397.92563
Cai, Yongli; Zhao, Caidi; Wang, Weiming
8
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
6
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
15
2012
Approximation of the incompressible convective Brinkman-Forchheimer equations. Zbl 1259.35170
Zhao, Caidi; You, Yuncheng
14
2012
Pullback asymptotic behavior of solutions for a non-autonomous non-Newtonian fluid on two-dimensional unbounded domains. Zbl 1331.76020
Zhao, Caidi
8
2012
Upper semicontinuity of global attractors for 2D Navier-Stokes equations. Zbl 1270.35356
Zhao, Caidi; Duan, Jinqiao
4
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
13
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
22
2009
Compact kernel sections for lattice systems with delays. Zbl 1169.34055
Zhao, Caidi; Zhou, Shengfan; Wang, Weiming
12
2009
Existence and regularity of pullback attractors for an incompressible non-Newtonian fluid with delays. Zbl 1180.35128
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
8
2009
Compact uniform attractors for dissipative lattice dynamical systems with delays. Zbl 1153.37037
Zhao, Caidi; Zhou, Shengfan
31
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
Limit behavior of global attractors for the complex Ginzburg-Landau equation on infinite lattices. Zbl 1138.37048
Zhao, Caidi; Zhou, Shengfan
13
2008
Compact kernel sections of long-wave-short-wave resonance equations on infinite lattices. Zbl 1133.34031
Zhao, Caidi; Zhou, Shengfan
12
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
9
2008
Pullback trajectory attractors for evolution equations and application to 3D incompressible non-Newtonian fluid. Zbl 1163.35327
Zhao, Caidi; Zhou, Shengfan
9
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
Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid. Zbl 1143.76010
Zhao, Caidi; Zhou, Shengfan; Li, Yongsheng
2
2008
Pullback attractors for a non-autonomous incompressible non-Newtonian fluid. Zbl 1152.35012
Zhao, Caidi; Zhou, Shengfan
35
2007
Attractors of retarded first order lattice systems. Zbl 1130.34053
Zhao, Caidi; Zhou, Shengfan
34
2007
Compact kernel sections for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. Zbl 1113.37057
Zhao, Caidi; Zhou, Shengfan
24
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
16
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
9
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
5
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
30
2004
Global attractor for a system of the non-Newtonian incompressible fluid in 2D unbounded domains. Zbl 1053.35117
Li, Yongsheng; Zhao, Caidi
4
2002
all top 5

Cited by 561 Authors

66 Zhao, Caidi
41 Zhou, Shengfan
26 Caraballo Garrido, Tomás
18 Li, Yangrong
14 Wang, Renhai
12 Cung The Anh
12 Shu, Ji
12 Wang, Jintao
11 Abdallah, Ahmed Y.
11 Li, Chunqiu
10 Han, Xiaoying
9 Gu, Anhui
9 She, Lianbing
8 Chen, Zhang
8 Li, Yongsheng
8 Liu, Guowei
8 Wang, Zhaojuan
7 Guo, Jong-Shenq
7 Li, Dingshi
7 Morillas, Francisco G.
7 Valero, José
7 Yang, Xinguang
7 Zhao, Min
6 Jia, Yan
6 Li, Yanjiao
6 Liu, Hui
6 Łukaszewicz, Grzegorz
6 Sun, Wenlong
6 Wang, Bixiang
6 Zhang, Qiangheng
5 Guo, Chunxiao
5 Huang, Jianhua
5 Yang, Dandan
5 Zhao, Wenqiang
4 Duan, Jinqiao
4 Duan, Ning
4 Mohan, Manil Thankamani
4 Nguyen Huy Tuan
4 Song, Yukun
4 Straughan, Brian
4 Sun, Chengfeng
4 Wang, Weiming
4 Wang, Yejuan
4 Ye, Yong
4 Zhang, Jian
4 Zhao, Xiaopeng
4 Zhu, Zeqi
3 Cao, Juan
3 Caucao, Sergio
3 Chen, Fengde
3 Chen, Yang
3 Giletti, Thomas
3 Guo, Boling
3 Han, Xiaoling
3 Hennig, Dirk
3 Huang, Lan
3 Jiang, Huite
3 Kinra, Kush
3 Kloeden, Peter Eris
3 Lesnic, Daniel
3 Li, Congcong
3 Li, Hui
3 Li, Jin
3 Li, Xintao
3 Li, You
3 Lin, Jian Jhong
3 Lu, Yongjin
3 Ma, Ming
3 Nguyet, Tran Minh
3 Pereira, Jardel Morais
3 Qin, Yuming
3 Shi, Lin
3 Sun, Chunyou
3 Trang, Pham Thi
3 Wang, Xiaohu
3 Wannan, Rania T.
3 Wei, Yumei
3 Xie, Qianqian
3 Xie, Yongqin
3 Xin, Jie
3 Yang, Hujun
3 Yang, Zhijian
3 Zhang, Kai
3 Zhang, Pan
3 Zhu, Kaixuan
2 Abu-Shaab, Heba N.
2 Ağirseven, Deniz
2 Ai, Chengfei
2 Al-Khader, Taqwa M.
2 Ashyralyev, Allaberen
2 Bai, Qianqian
2 Ban, Ailing
2 Bhadauria, Beer Singh
2 Chai, Xiaojuan
2 Chen, Lijuan
2 Chen, Shuai
2 Chen, Yushuo
2 Ding, Xiaoquan
2 Dong, Boqing
2 Gatica, Gabriel N.
...and 461 more Authors
all top 5

Cited in 110 Serials

32 Discrete and Continuous Dynamical Systems. Series B
28 Journal of Differential Equations
25 Journal of Mathematical Physics
21 Journal of Mathematical Analysis and Applications
19 Applied Mathematics and Computation
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
13 Nonlinear Analysis. Real World Applications
12 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 Boundary Value Problems
9 Journal of Dynamics and Differential Equations
9 Communications in Nonlinear Science and Numerical Simulation
8 Discrete and Continuous Dynamical Systems
8 Abstract and Applied Analysis
7 Mathematical Methods in the Applied Sciences
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Applied Mathematics and Optimization
7 Electronic Research Archive
6 Communications on Pure and Applied Analysis
6 AIMS Mathematics
5 Applied Mathematics Letters
5 Acta Mathematica Scientia. Series B. (English Edition)
5 Stochastics and Dynamics
5 Journal of Applied Analysis and Computation
4 Applicable Analysis
4 Nonlinearity
4 Chaos, Solitons and Fractals
4 Acta Applicandae Mathematicae
4 Journal of Mathematical Fluid Mechanics
4 Acta Mathematica Sinica. English Series
4 Qualitative Theory of Dynamical Systems
4 Dynamical Systems
4 Discrete and Continuous Dynamical Systems. Series S
4 Evolution Equations and Control Theory
3 Applied Mathematics and Mechanics. (English Edition)
3 Acta Mathematicae Applicatae Sinica. English Series
3 Complexity
2 Computers & Mathematics with Applications
2 Annales Polonici Mathematici
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Computational and Applied Mathematics
2 Studies in Applied Mathematics
2 Acta Mathematicae Applicatae Sinica
2 Physica D
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 Journal of Applied Mathematics
2 Acta Mathematica Scientia. Series A. (Chinese Edition)
2 Mediterranean Journal of Mathematics
2 Applications and Applied Mathematics
2 Science China. Mathematics
2 Open Mathematics
1 Journal of Mathematical Biology
1 Physica A
1 Russian Mathematical Surveys
1 Acta Mathematica Vietnamica
1 Calcolo
1 Demonstratio Mathematica
1 Mathematics and Computers in Simulation
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 Numerical Methods for Partial Differential Equations
1 Journal of Theoretical Probability
1 Asymptotic Analysis
1 Journal of Scientific Computing
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
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Computational Methods in Applied Mathematics
1 Journal of Applied Mathematics and Computing
1 SIAM Journal on Applied Dynamical Systems
1 Mathematical Biosciences and Engineering
1 Stochastics
1 Frontiers of Mathematics in China
1 Banach Journal of Mathematical Analysis
...and 10 more Serials

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