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

页码：131 / 146

页数：16

共 38 条

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