A coupled system arising in magnetohydrodynamics

被引：19

作者：

Gerbeau, JF ^{[1
]}

Le Bris, C ^{[1
]}

机构：

[1] Ecole Natl Ponts & Chaussees, CERMICS, F-77455 Marne La Vallee, France

来源：

APPLIED MATHEMATICS LETTERS | 1999年 / 12卷 / 03期

关键词：

magnetohydrodynamics; Navier-Stokes equations; existence of solutions;

D O I：

10.1016/S0893-9659(98)00172-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study an MHD system consisting of the stationary Maxwell equations coupled with the transient Navier-Stokes equations. We prove that a solution exists and is unique for small time and small data. We show that the system may become ill-posed as soon as the fluid velocity becomes too large. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：53 / 57

页数：5