RANDOM ATTRACTORS FOR NON-AUTONOMOUS STOCHASTIC NAVIER-STOKES-VOIGT EQUATIONS IN SOME UNBOUNDED DOMAINS

被引：1

作者：

Wang, Shu ^{[1
]}

Si, Mengmeng ^{[1
]}

Yang, Rong ^{[1
]}

机构：

[1] Beijing Univ Technol, Fac Sci, Beijing, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2023年 / 22卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Stochastic Navier-Stokes-Voigt equations; non-autonomous; random attractors; pullback asymptotic compactness; PULLBACK ATTRACTORS; GLOBAL ATTRACTORS; DYNAMICS;

D O I：

10.3934/cpaa.2023062

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 behavior for the three dimensional non-autonomous stochastic Navier-Stokes-Voigt equations on unbounded domains. A continuous non-autonomous random dynamical system for the equations is firstly established. We then obtain pullback asymptotic compactness of solutions and prove that the existence of tempered random attractors for the random dynamical system generated by the equations. Furthermore, we obtain that the tempered random attractors are periodic when the deterministic non-autonomous external term is periodic in time.

引用

页码：2169 / 2185

页数：17

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