Results 11 to 20 of about 45,664 (293)

Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise

Journal of Function Spaces, 2018
In this paper, the existence and the upper semicontinuity of a pullback attractor for stochastic retarded 2D-Navier-Stokes equation on a bounded domain are obtained.
Xiaoyao Jia, Xiaoquan Ding
doaj   +1 more source

Random uniform exponential attractor for stochastic non-autonomous reaction-diffusion equation with multiplicative noise in ℝ3

Open Mathematics, 2019
We first introduce the concept of the random uniform exponential attractor for a jointly continuous non-autonomous random dynamical system (NRDS) and give a theorem on the existence of the random uniform exponential attractor for a jointly continuous ...
Han Zongfei, Zhou Shengfan
doaj   +1 more source

Random exponential attractor for second order non-autonomous stochastic lattice dynamical systems with multiplicative white noise in weighted spaces

Advances in Difference Equations, 2019
This paper is concerned with the random exponential attractor for second order non-autonomous stochastic lattice system with multiplicative white noise and unbounded nonlinearity.
Haijuan Su, Shengfan Zhou, Luyao Wu
doaj   +1 more source

H1-Random Attractors and Asymptotic Smoothing Effect of Solutions for Stochastic Boussinesq Equations with Fluctuating Dynamical Boundary Conditions

Abstract and Applied Analysis, 2013
This work is concerned with the random dynamics of two-dimensional stochastic Boussinesq system with dynamical boundary condition. The white noises affect the system through a dynamical boundary condition.
Yijin Zhang
doaj   +1 more source

The mean-square dichotomy spectrum and a bifurcation to a mean-square attractor [PDF]

, 2014
The dichotomy spectrum is introduced for linear mean-square random dynamical systems, and it is shown that for finite-dimensional mean-field stochastic differential equations, the dichotomy spectrum consists of finitely many compact intervals. It is then
Doan, Thai Son, Kloeden, Peter E., Rasmussen, Martin   +2 more
core   +1 more source

Random attractors for stochastic two-compartment Gray-Scott equations with a multiplicative noise

Open Mathematics, 2016
In this paper, we consider the existence of a pullback attractor for the random dynamical system generated by stochastic two-compartment Gray-Scott equation for a multiplicative noise with the homogeneous Neumann boundary condition on a bounded domain of
Jia Xiaoyao, Gao Juanjuan, Ding Xiaoquan
doaj   +1 more source

Asymptotic Autonomy of Attractors for Stochastic Fractional Nonclassical Diffusion Equations Driven by a Wong–Zakai Approximation Process on ℝⁿ

Fractal and Fractional, 2022
In this paper, we consider the backward asymptotically autonomous dynamical behavior for fractional non-autonomous nonclassical diffusion equations driven by a Wong–Zakai approximations process in Hs(Rn) with s∈(0,1).
Hong Li, Fuzhi Li
doaj   +1 more source

Random Attractors for the Stochastic Discrete Long Wave-Short Wave Resonance Equations

Journal of Applied Mathematics, 2011
We prove the existence of the random attractor for the stochastic discrete long wave-short wave resonance equations in an infinite lattice. We prove the asymptotic compactness of the random dynamical system and obtain the random attractor.
Jie Xin, Hong Lu
doaj   +1 more source

Wong-Zakai approximations and long term behavior of second order non-autonomous stochastic lattice dynamical systems with additive noise

AIMS Mathematics, 2022
In this article, we investigate the Wong-Zakai approximations of a class of second order non-autonomous stochastic lattice systems with additive white noise.
Xintao Li
doaj   +1 more source

Pullback random attractors of stochastic strongly damped wave equations with variable delays on unbounded domains

AIMS Mathematics, 2021
In this paper, we consider the asymptotic behavior of solutions to stochastic strongly damped wave equations with variable delays on unbounded domains, which is driven by both additive noise and deterministic non-autonomous forcing.
Li Yang
doaj   +1 more source