DYNAMICS OF KIRCHHOFF TYPE PLATE EQUATIONS WITH NONLINEAR DAMPING DRIVEN BY MULTIPLICATIVE NOISE

被引：1

作者：

Yao, Xiaobin ^{[1
]}

机构：

[1] Qinghai Minzu Univ, Sch Math & Stat, Xining 810007, Qinghai, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2024年 / 14卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Pullback attractors; plate equation; kirchhoff type; unbounded domains; multiplicative white noise; GLOBAL ATTRACTORS; CRITICAL EXPONENT; EXISTENCE; SUFFICIENT;

D O I：

10.11948/20220281

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates mainly the long term behavior of the kirchhoff type stochastic plate equations with multiplicative noise and nonlinear damping on unbounded domains. Due to the noncompactness of Sobolev embeddings on unbounded domains, pullback asymptotic compactness of random dynamical system associated with such random plate equation is proved by the tail -estimates method. This paper is an extension of [23].

引用

页码：1148 / 1176

页数：29

共 31 条

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