Vanishing viscosity limit of Navier-Stokes Equations in Gevrey class

被引：3

作者：

Cheng, Feng ^{[1
]}

Li, Wei-Xi ^{[1
,2
]}

Xu, Chao-Jiang ^{[1
,3
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

[2] Wuhan Univ, Computat Sci Hubei Key Lab, Wuhan 430072, Hubei, Peoples R China

[3] Univ Rouen, Lab Math, CNRS, UMR 6085, F-76801 St Etienne Du Rouvray, France

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 14期

关键词：

Gevrey class; incompressible Navier-Stokes equation; vanishing viscosity limit; 3-DIMENSIONAL EULER EQUATIONS; PRANDTL EQUATION; CLASS REGULARITY; WELL-POSEDNESS; INITIAL DATA; HALF-SPACE; ANALYTICITY; BOUNDARY; SYSTEM;

D O I：

10.1002/mma.4378

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the inviscid limit for the periodic solutions to Navier-Stokes equation in the framework ofGevrey class. It is shown that the lifespan for the solutions to Navier-Stokes equation is independent of viscosity, and that the solutions of the Navier-Stokes equation converge to that of Euler equation in Gevrey class as the viscosity tends to zero. Moreover, the convergence rate in Gevrey class is presented. Copyright (C) 2017 JohnWiley & Sons, Ltd.

引用

页码：5161 / 5176

页数：16

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