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
收藏
页码：1069 / 1104
页数：36
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