Vanishing α and viscosity limits of second grade fluid equations for an expanding domain in the plane

被引：1

作者：

Liu, Jitao ^{[1
]}

Xu, Wen-Qing ^{[1
,2
]}

机构：

[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

[2] Calif State Univ Long Beach, Dept Math & Stat, Long Beach, CA 90840 USA

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2019年 / 49卷

基金：

北京市自然科学基金; 中国国家自然科学基金;

关键词：

Vanishing alpha limits; Vanishing viscosity limits; Expanding domain; Second grade fluid equations; EULER EQUATIONS; CLASSICAL-SOLUTIONS; WEAK;

D O I：

10.1016/j.nonrwa.2019.03.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the asymptotic behavior of solutions to second grade fluid equations, a model for viscoelastic fluids, in an expanding domain. We prove that, the solutions converge to a solution of the incompressible Euler equations in the whole plane, as the elastic response alpha and the viscosity nu vanish, and the radius of domain becomes infinite. Meanwhile, we also establish precise convergence rates in terms of nu, alpha and the radius of the family of spatial domains. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：355 / 367

页数：13