Random attractors for non-autonomous stochasticwave equations with multiplicative noise

B Wang - Discrete and continuous dynamical systems, 2013 - aimsciences.org
This paper is concerned with the asymptotic behavior of solutions of the damped non-
autonomous stochastic wave equations driven by multiplicative white noise. We prove the …

Asymptotic behavior of fractional nonclassical diffusion equations driven by nonlinear colored noise on

R Wang, L Shi, B Wang - Nonlinearity, 2019 - iopscience.iop.org
This paper is concerned with the asymptotic behavior of the solutions of the fractional
nonclassical diffusion equations driven by nonlinear colored noise defined on the entire …

Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains

T Caraballo, B Guo, NH Tuan, R Wang - Proceedings of the Royal …, 2021 - cambridge.org
This paper is concerned with the asymptotic behaviour of solutions to a class of non-
autonomous stochastic nonlinear wave equations with dispersive and viscosity dissipative …

[HTML][HTML] Random dynamics of p-Laplacian lattice systems driven by infinite-dimensional nonlinear noise

R Wang, B Wang - Stochastic Processes and their Applications, 2020 - Elsevier
This article is concerned with the global existence and random dynamics of the non-
autonomous p-Laplacian lattice system defined on the entire integer set driven by infinite …

[PDF][PDF] Random dynamics of fractional nonclassical diffusion equations driven by colored noise.

R Wang, Y Li, B Wang - Discrete & Continuous Dynamical …, 2019 - researchgate.net
The random dynamics in H s (Rn) with s∈(0, 1) is investigated for the fractional nonclassical
diffusion equations driven by colored noise. Both existence and uniqueness of pullback …

Attractors of non-autonomous stochastic lattice systems in weighted spaces

PW Bates, K Lu, B Wang - Physica D: Nonlinear Phenomena, 2014 - Elsevier
We study the asymptotic behavior of solutions to a class of non-autonomous stochastic
lattice systems driven by multiplicative white noise. We prove the existence and uniqueness …

Weak pullback attractors for mean random dynamical systems in Bochner spaces

B Wang - Journal of Dynamics and Differential Equations, 2019 - Springer
This paper is concerned with weak pullback mean random attractors for mean random
dynamical systems defined in Bochner spaces. We first introduce the concept of weak …

[HTML][HTML] Regularity of random attractors for fractional stochastic reaction–diffusion equations on Rn

A Gu, D Li, B Wang, H Yang - Journal of Differential Equations, 2018 - Elsevier
We investigate the regularity of random attractors for the non-autonomous non-local
fractional stochastic reaction–diffusion equations in H s (R n) with s∈(0, 1). We prove the …

Long-time dynamics of fractional nonclassical diffusion equations with nonlinear colored noise and delay on unbounded domains

P Chen, R Wang, X Zhang - Bulletin Des Sciences Mathématiques, 2021 - Elsevier
This paper deals with the long-time dynamics for a class of highly nonlinear fractional
nonclassical diffusion equations with nonlinear colored noise and time delay defined on the …

Existence and upper semicontinuity of attractors for stochastic equations with deterministic non-autonomous terms

B Wang - Stochastics and Dynamics, 2014 - World Scientific
We prove the existence and uniqueness of tempered random attractors for stochastic
Reaction–Diffusion equations on unbounded domains with multiplicative noise and …