Results 21 to 30 of about 4,980,387 (235)

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

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

Random attractor and random exponential attractor for stochastic non-autonomous damped cubic wave equation with linear multiplicative white noise

, 2018
In this paper, we first establish some sufficient conditions for the existence and construction of a random exponential attractor for a continuous cocycle on a separable Banach space.
Zhaojuan Wang, Shengfan Zhou
semanticscholar   +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

Additive noise destroys the random attractor close to bifurcation [PDF]

, 2016
We provide an example for stabilization by noise. Due to the presence of higher order differential operators our approach does not rely on monotonicity arguments, i.e. the preserved order of solutions.
L. Bianchi, D. Blömker, Meihua Yang
semanticscholar   +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

Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White Noises

Journal of Function Spaces, 2016
This paper investigates the existence of random attractor for stochastic Boussinesq equations driven by multiplicative white noises in both the velocity and temperature equations and estimates the Hausdorff dimension of the random attractor.
Yin Li, Ruiying Wei, Donghong Cai
doaj   +1 more source

Asymptotic behavior of non-autonomous fractional p-Laplacian equations driven by additive noise on unbounded domains

Bulletin of Mathematical Sciences, 2021
This paper deals with the asymptotic behavior of solutions to non-autonomous, fractional, stochastic p-Laplacian equations driven by additive white noise and random terms defined on the unbounded domain ℝN.
Renhai Wang, Bixiang Wang
doaj   +1 more source

Random exponential attractor for cocycle and application to non-autonomous stochastic lattice systems with multiplicative white noise

, 2017
Shengfan Zhou
openalex   +2 more sources