Two existence results for the vortex-wave system

被引：0
|
作者：
Miot, Evelyne [1 ]
机构：
[1] Univ Paris Sud 11, Lab Math, Bat 425, F-91405 Orsay, France
来源：
RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA | 2012年 / 3卷 / 01期
关键词：
Two-dimensional Euler equations; incompressible flows; global existence of weak solutions; point vortices; vortex sheets;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The vortex-wave system is a coupling of the two-dimensional Euler equations for the vorticity together with the point vortex system. It was introduced by C. Marchioro and M. Pulvirenti [7, 8] to modelize the evolution of a finite number of concentrated vortices moving in a bounded vorticity background. The purpose of this paper is to provide global existence of a solution in two cases where the background vorticity is not bounded. Part of this work is joint with M. C. Lopes Filho and H. J. Nussenzveig Lopes.
引用
收藏
页码：131 / 146
页数：16
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