1 citations · 1 across the 11 of their papers we have counts for
11 papers
Hausdorff dimension of random attractors for a stochastic delayed parabolic equation in Banach spaces
Wenjie Hu, TomásCaraballo, Yueliang Duan
The main purpose of this paper is to give an upper bound of Hausdorff dimension of random attractors for a stochastic delayed parabolic equation in Banach spaces. The estimation of…
Exponential attractors for a nonlocal delayed reaction-diffusion equation on an unbounded domain
Wenjie Hu, Tomás Caraballo
The main objective of this paper is to investigate exponential attractors for a nonlocal delayed reaction-diffusion equation on an unbounded domain. We first obtain the existence o…
Existence and dimensions of global attractors for a delayed reaction-diffusion equation on an unbounded domain
Wenjie Hu, Tomás Caraballo, Alain Miranville
The purpose of this paper is to investigate the existence and Hausdorff dimension as well as fractal dimension of global attractors for a delayed reaction-diffusion equation on an…
Exponential attractors with explicit fractal dimensions for retarded functional differential equations
Wenjie Hu, Tomás Caraballo
The aim of this paper is to propose a new method to construct exponential attractors for infinite dimensional dynamical systems in Banach spaces with explicit fractal dimension. Th…
Lyapunov exponents and invariant manifolds for stochastic linear partial functional differential equations
Wenjie Hu, Tomás Caraballo
The main purpose of this work is to characterize the almost sure local structure stability of solutions to a class of linear stochastic partial functional differential equations (S…
Topological dimensions of attractors for partial functional differential equations in Banach spaces
Wenjie Hu, Tomás Caraballo
The main objective of this paper is to obtain estimations of Hausdorff dimension as well as fractal dimension of global attractors and pullback attractors for both autonomous and n…
Topological dimensions of global attractors for a delayed reaction-diffusion equation on an unbounded domain
Wenjie Hu, Tomás Caraballo
The purpose of this paper is to investigate the existence and estimation of Hausdorff and fractal dimension of global attractors for a delayed reaction-diffusion equation on an unb…
Random attractors of a stochastic Hopfield neural network model with delays
Wenjie Hu, Quanxin Zhu, Peter E. Kloeden
The global asymptotic behavior of a stochastic Hopfield neural network model (HNNM) with delays is explored by studying the existence and structure of random attractors. It is firs…
Topological dimensions of random attractors for stochastic partial differential equations with delay
Wenjie Hu, Tomás Caraballo
The aim of this paper is to obtain an estimation of Hausdorff as well as fractal dimensions of random attractors for a class of stochastic partial differential equations with delay…
Random attractors for a stochastic nonlocal delayed reaction-diffusion equation on a semi-infinite interval
Wenjie Hu, Quanxin Zhu, Tomás Caraballo
The aim of this paper is to prove the existence and qualitative property of random attractors for a stochastic nonlocal delayed reaction-diffusion equation (SNDRDE) on a semi-infin…
Invariant manifolds for stochastic delayed partial differential equations of parabolic type
Wenjie Hu, Quanxin Zhu, Tomás Caraballo
The aim of this paper is to prove the existence and smoothness of stable and unstable invariant manifolds for a stochastic delayed partial differential equation of parabolic type.…