UNIFORM ATTRACTORS OF 3D NAVIER-STOKES-VOIGT EQUATIONS WITH MEMORY AND SINGULARLY OSCILLATING EXTERNAL FORCES

被引：2

作者：

Cung The Anh ^{[1
]}

Dang Thi Phuong Thanh ^{[2
]}

Nguyen Duong Toan ^{[3
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, 136 Xuan Thuy, Hanoi, Vietnam

[2] Hung Vuong Univ, Dept Math, Viet Tri, Phu Tho, Vietnam

[3] Haiphong Univ, Dept Math, 171 Phan Dang Luu, Kien An, Haiphong, Vietnam

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2021年 / 10卷 / 01期

关键词：

Navier-Stokes-Voigt equations; memory; singularly oscillating forces; uniform attractor; boundedness; convergence; VISCOELASTICITY; REGULARITY; STABILITY;

D O I：

10.3934/eect.2020039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a three-dimensional Navier-Stokes-Voigt equations with memory in lacking instantaneous kinematic viscosity, in presence of Ek-man type damping and singularly oscillating external forces depending on a positive parameter epsilon. Under suitable assumptions on the memory term and on the external forces, we prove the existence and the uniform (w.r.t. epsilon) bound-edness as well as the convergence as epsilon tends to 0 of uniform attractors A(epsilon) of a family of processes associated to the model.

引用

页码：1 / 23

页数：23

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