Pullback measure attractors for nonautonomous stochastic lattice reversible Selkov systems

This paper is dedicated to studying pullback measure attractors for nonautonomous stochastic lattice reversible Selkov systems driven by nonlinear noise. We first give the existence and uniqueness of solutions for this nonautonomous stochastic lattice reversible Selkov system. Next, we demonstrate the existence and uniqueness of pullback measure attractors for such a nonautonomous dynamical system generated by the solution operator. Finally, we prove the upper semicontinuity of pullback measure attractors with respect to the intensity of noise. In particular, the tail-estimate technique is employed to show the pullback asymptotic compactness of the family of solution distributions.

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Publication Details

Journal
Stochastics and Dynamics
Published
2025-07-18
DOI
https://doi.org/10.1142/s0219493725400039
Primary Topic
Stability and Controllability of Differential Equations
Type
article
Field-Weighted Citation Impact
0.00
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article

Pullback measure attractors for nonautonomous stochastic lattice reversible Selkov systems

Jiangwei Zhang, Daiwen Huang, Xue Wang
Stochastics and Dynamics
Stability and Controllability of Differential Equations
article

Pullback measure attractors for nonautonomous stochastic lattice reversible Selkov systems

Jiangwei Zhang, Daiwen Huang, Xue Wang
article en

Abstract

This paper is dedicated to studying pullback measure attractors for nonautonomous stochastic lattice reversible Selkov systems driven by nonlinear noise. We first give the existence and uniqueness of solutions for this nonautonomous stochastic lattice reversible Selkov system. Next, we demonstrate the existence and uniqueness of pullback measure attractors for such a nonautonomous dynamical system generated by the solution operator. Finally, we prove the upper semicontinuity of pullback measure attractors with respect to the intensity of noise. In particular, the tail-estimate technique is employed to show the pullback asymptotic compactness of the family of solution distributions.

Stochastics and Dynamics
National University of Defense Technology (CN), Institute of Applied Physics and Computational Mathematics (CN)
Openalex Percentile: Top 77%
Stability and Controllability of Differential Equations
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