WEAK PULLBACK ATTRACTORS FOR STOCHASTIC NAVIER-STOKES EQUATIONS WITH NONLINEAR DIFFUSION TERMS

被引：46

作者：

Wang, Bixiang ^{[1
]}

机构：

[1] New Mexico Inst Min & Technol, Dept Math, Socorro, NM 87801 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 04期

关键词：

Weak pullback attractor; mean random attractor; nonlinear diffusion; Navier-Stokes equation; EXISTENCE; BEHAVIOR;

D O I：

10.1090/proc/14356

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 of the solutions of the two-dimensional stochastic Navier-Stokes equations driven by white noise with nonlinear diffusion terms. We prove the existence and uniqueness of weak pullback mean random attractors for the equations in Bochner spaces when the diffusion terms are Lipschitz nonlinear functions.

引用

页码：1627 / 1638

页数：12

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