THE LINEARIZED PLASMA-VACUUM INTERFACE PROBLEM IN IDEAL INCOMPRESSIBLE MHD

被引：0
|
作者：
Morando, Alessandro [1 ]
Trebeschi, Paola [1 ]
Trakhinin, Yuri [2 ]
机构：
[1] Univ Brescia, Sez Matemat, DICATAM, Via Valotti 9, I-25133 Brescia, Italy
[2] Sobolev Inst Math, Novosibirsk 630090, Russia
来源：
HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS | 2014年 / 8卷
关键词：
Ideal incompressible Magneto-Hydrodynamics; plasma-vacuum interface; free boundary; CURRENT-VORTEX SHEETS; WELL-POSEDNESS; EXISTENCE; WAVES;
D O I：
暂无
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 we consider the 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 the plasma-vacuum interface, we prove the well-posedness of the linearized problem in Sobolev spaces.
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页码：1007 / 1014
页数：8
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