WELL-POSEDNESS OF THE LINEARIZED PLASMA-VACUUM INTERFACE PROBLEM IN IDEAL INCOMPRESSIBLE MHD

被引：30

作者：

Morando, Alessandro ^{[1
]}

Trakhinin, Yuri ^{[2
]}

Trebeschi, Paola ^{[1
]}

机构：

[1] Univ Brescia, Fac Ingn, Dipartmento Matemat, I-25133 Brescia, Italy

[2] Sobolev Inst Math, Novosibirsk 630090, Russia

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2014年 / 72卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

CURRENT-VORTEX SHEETS; EULER EQUATIONS; STABILITY; BOUNDARY;

D O I：

10.1090/S0033-569X-2014-01346-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the free boundary problem for the plasma-vacuum interface in ideal incompressible magnetohydrodynamics (MHD). In the vacuum region the magnetic field is described by the div-curl system of pre-Maxwell dynamics, while at the interface the total pressure is continuous and the magnetic field is tangent to the boundary. Under a suitable stability condition satisfied at each point of the plasma-vacuum interface, we prove the well-posedness of the linearized problem in Sobolev spaces.

引用

页码：549 / 587

页数：39

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