Asymptotic stability of evolution systems of probability measures of stochastic discrete modified Swift-Hohenberg equations

被引：1
|
作者：
Wang, Fengling [1 ,2 ]
Caraballo, Tomas [2 ,3 ]
Li, Yangrong [1 ]
Wang, Renhai [4 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Univ Seville, Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, C Tarfia s-n, Seville 41012, Spain
[3] Wenzhou Univ, Dept Math, Wenzhou 325035, Peoples R China
[4] Guizhou Normal Univ, Sch Math Sci, Guiyang 550001, Peoples R China
来源：
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS | 2024年 / 12卷 / 02期
基金：
中国博士后科学基金;
关键词：
Discrete modified Swift-Hohenberg equations; Nonlinear noise; Evolution systems of probability measures; Noise intensity; LATTICE DYNAMICAL-SYSTEMS; RANDOM ATTRACTORS; INVARIANT-MEASURES; COMPACTNESS; BEHAVIOR; DRIVEN; SPACE; NOISE;
D O I：
10.1007/s40072-023-00307-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the asymptotic stability of evolution systems of probability measures for non-autonomous stochastic discrete modified Swift-Hohenberg equations driven by local Lipschitz nonlinear noise. We first show the existence of evolution systems of probability measures of the original equation. Then, using the theoretical results in Wang et al. (Proc Am Math Soc 151:2449-2458, 2023), it is proved that the evolution system of probability measures of the limit equation is the limit of the evolution system of probability measures when the noise intensity tends to a certain value.
引用
收藏
页码：1374 / 1415
页数：42
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