INVISCID LIMIT FOR VORTEX PATCHES

被引：85

作者：

CONSTANTIN, P

WU, JH

机构：

[1] Department of Mathematics, The University of Chicago, Chicago, IL, 60637

来源：

NONLINEARITY | 1995年 / 8卷 / 05期

关键词：

D O I：

10.1088/0951-7715/8/5/005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the inviscid limit for two dimensional incompressible fluids in the plane. We prove that, if the initial data are vortex patches with smooth boundaries, then the inviscid Eulerian dynamics is approached at a rate that is slower than the rate for smooth initial data. The circular patches provide lower bounds.

引用

页码：735 / 742

页数：8

共 8 条

[1]

BEALE JT, 1981, MATH COMPUT, V37, P243, DOI 10.1090/S0025-5718-1981-0628693-0

[2] GLOBAL REGULARITY FOR VORTEX PATCHES [J].