WONG-ZAKAI APPROXIMATIONS AND ATTRACTORS FOR STOCHASTIC THREE-DIMENSIONAL GLOBALLY MODIFIED NAVIER-STOKES EQUATIONS DRIVEN BY NONLINEAR NOISE

被引：0

作者：

Hang, Ho Thi ^{[1
]}

My, Bui Kim ^{[2
]}

Nguyen, Pham Tri ^{[1
]}

机构：

[1] Elect Power Univ, Dept Math, 235 Hoang Quoc Viet, Hanoi, Vietnam

[2] Hanoi Pedag Univ 2, Fac Primary Educ, 32 Nguyen Van Linh, Phuc Yen, Vinhphuc, Vietnam

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年 / 29卷 / 02期

关键词：

Stochastic globally modified Navier-Stokes equations; Random pull-back attractor; Wong-Zakai approximation; Nonlinear noise; REACTION-DIFFUSION EQUATIONS; PULLBACK ATTRACTORS; ASYMPTOTIC-BEHAVIOR; INVARIANT-MEASURES; V-ATTRACTORS; EXISTENCE; CONVERGENCE; SYSTEM; UNIQUENESS;

D O I：

10.3934/dcdsb.2023124

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze the asymptotic behavior of the stochastic three di-mensional globally modified Navier-Stokes equations with general Lipschitz nonlinear noise. By using the Wong-Zakai approximation, we first show that the approximate equation has a unique random attractor, and then when the stochastic equation is driven by a linear multiplicative noise or additive white noise, we show the convergence of solutions and attractors of Wong-Zakai ap-proximations of the approximate random systems as the size of the approxi-mation tends to zero.

引用

页码：1069 / 1104

页数：36

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