Linear Inviscid Damping in Gevrey Spaces

被引：38

作者：

Jia, Hao ^{[1
]}

机构：

[1] Univ Minnesota, Minneapolis, MN 55455 USA

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2020年 / 235卷 / 02期

关键词：

STABILITY;

D O I：

10.1007/s00205-019-01445-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove linear inviscid damping near a general class of monotone shear flows in a finite channel, in Gevrey spaces. This is an essential step towards proving nonlinear inviscid damping for general shear flows that are not close to the Couette flow, which is a major open problem in 2d Euler equations.

引用

页码：1327 / 1355

页数：29

共 26 条

[1]

[Anonymous], ARXIV180107371

[2]

[Anonymous], ARXIV171103668

[3]

[Anonymous], ARXIV180804026

[4]

[Anonymous], ARXIV180408291