The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion

T Caraballo, MJ Garrido-Atienza, T Taniguchi - Nonlinear Analysis: Theory …, 2011 - Elsevier
In this paper we investigate the existence, uniqueness and exponential asymptotic behavior
of mild solutions to stochastic delay evolution equations perturbed by a fractional Brownian …

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 …

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 …

[PDF][PDF] Asymptotic behavior of random FitzHugh-Nagumo systems driven by colored noise

A Gu, B Wang - Discrete Contin. Dyn. Syst. Ser. B, 2018 - researchgate.net
In this paper, we prove the existence and uniqueness of random attractors for the FitzHugh-
Nagumo system driven by colored noise with a nonlinear diffusion term. We demonstrate …

Asymptotic behavior of non-autonomous fractional stochastic reaction–diffusion equations

B Wang - Nonlinear Analysis, 2017 - Elsevier
We first apply the Galerkin method to prove the existence and uniqueness of solutions for a
class of non-autonomous fractional reaction–diffusion equations driven by multiplicative …

Random attractors for delay parabolic equations with additive noise and deterministic nonautonomous forcing

X Wang, K Lu, B Wang - SIAM Journal on Applied Dynamical Systems, 2015 - SIAM
In this paper, we consider the long term behavior of solutions to stochastic delay parabolic
equations with additive noise and deterministic nonautonomous forcing. We first establish …

Ergodicity of the infinite dimensional fractional Brownian motion

MJ Garrido-Atienza, B Schmalfuß - Journal of Dynamics and Differential …, 2011 - Springer
Ergodicity of the Infinite Dimensional Fractional Brownian Motion Page 1 J Dyn Diff Equat (2011)
23:671–681 DOI 10.1007/s10884-011-9222-5 Ergodicity of the Infinite Dimensional Fractional …

[PDF][PDF] ASYMPTOTIC BEHAVIOR OF RANDOM NAVIER-STOKES EQUATIONS DRIVEN BY WONG-ZAKAI APPROXIMATIONS.

A Gu, K Lu, B Wang - … & Continuous Dynamical Systems: Series A, 2019 - researchgate.net
In this paper, we investigate the asymptotic behavior of the solutions of the two-dimensional
stochastic Navier-Stokes equations via the stationary Wong-Zakai approximations given by …

Weak pullback attractors for stochastic Navier-Stokes equations with nonlinear diffusion terms

B Wang - Proceedings of the American Mathematical Society, 2019 - ams.org
This paper is concerned with the asymptotic behavior of the solutions of the two-dimensional
stochastic Navier-Stokes equations driven by white noise with nonlinear diffusion terms. We …