35 citations · 59 across the 10 of their papers we have counts for
10 papers
Pullback -Attractors of the Stochastic Calmed 3 Navier-Stokes Equations
Yawen Duan, Anhui Gu
In this paper, we investigate a calmed version of the 3 rotational Navier-Stokes equations driven by additive noise. First, we use the Ornstein-Uhlenbeck process to transform th…
Weak Pullback Mean Random Attractors for Stochastic Evolution Equations and Applications
Anhui Gu
In this paper, we investigate the existence and uniqueness of weak pullback mean random attractors for abstract stochastic evolution equations with general diffusion terms in Bochn…
Rough Path Theory to approximate Random Dynamical Systems
Hongjun Gao, María J. Garrido-Atienza, Anhui Gu +2
We consider the rough differential equation $dY=f(Y)d\bm \om$ where $\bm \om=(ω,\bbomega)$ is a rough path defined by a Brownian motion on $\RR^m$. Under the usual regularity a…
Regularity of pullback attractors and equilibrium for non-autonomous stochastic FitzHugh-Nagumo system on unbounded domains
Wenqiang Zhao, Anhui Gu
A theory on bi-spatial random attractors developed recently by Li \emph{et al.} is extended to study stochastic Fitzhugh-Nagumo system driven by a non-autonomous term as well as a…
A random attractor for stochastic porous media equations on infinite lattices
Anhui Gu, Yangrong Li, Jia Li
The paper is devoted to studying the existence of a random attractor for stochastic porous media equations on infinite lattices under some conditions.
Random Attractors of Stochastic Lattice Dynamical Systems Driven by Fractional Brownian Motions and its Erratum
Anhui Gu
This paper is devoted to considering the stochastic lattice dynamical systems (SLDS) driven by fractional Brownian motions with Hurst parameter bigger than . Under usual dissi…
Sufficient Criteria for Existence of Pullback Attractors for Stochastic Lattice Dynamical Systems with Deterministic Non-autonomous Terms
Anhui Gu, Yangrong Li
We consider the pullback attractors for non-autonomous dynamical systems generated by stochastic lattice differential equations with non-autonomous deterministic terms. We first es…
Synchronization of Coupled Stochastic Systems Driven by Non-Gaussian Lévy Noises
Anhui Gu, Yangrong Li
We consider the synchronization of the solutions to coupled stochastic systems of -stochastic ordinary differential equations (SODEs) driven by Non-Gaussian Lévy noises ($N\in \…
Random Attractor For Stochastic Lattice FitzHugh-Nagumo System Driven By -stable Lévy Noises
Anhui Gu, Yangrong Li, Jia Li
The present paper is devoted to the existence of a random attractor for stochastic lattice FitzHugh-Nagumo system driven by -stable Lévy noises under some dissipative conditions…
Singleton sets random attractor for stochastic FitzHugh-Nagumo lattice equations driven by fractional Brownian motions
Anhui Gu, Yangrong Li
The paper is devoted to the study of the dynamical behavior of the solutions of stochastic FitzHugh-Nagumo lattice equations, driven by fractional Brownian motions, with Hurst para…