DISSIPATIVE SOLUTIONS AND THE INCOMPRESSIBLE INVISCID LIMITS OF THE COMPRESSIBLE MAGNETOHYDRODYNAMIC SYSTEM IN UNBOUNDED DOMAINS

被引：18

作者：

Feireisl, Eduard ^{[1
]}

Novotny, Antonin ^{[2
]}

Sun, Yongzhong ^{[3
]}

机构：

[1] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

[2] Univ Sud Toulon Var, EA 2134, IMATH, F-83957 La Garde, France

[3] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2014年 / 34卷 / 01期

关键词：

Compressible MHD system; inviscid limit; incompressible limit; WEAK SOLUTIONS; EQUATIONS; PERTURBATIONS; EVOLUTION; BOUNDARY; WAVES;

D O I：

10.3934/dcds.2014.34.121

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the compressible Navier-Stokes system coupled with the Maxwell equations governing the time evolution of the magnetic field. We introduce a relative entropy functional along with the related concept of dissipative solution. As an application of the theory, we show that for small values of the Mach number and large Reynolds number, the global in time weak (dissipative) solutions converge to the ideal MHD system describing the motion of an incompressible, inviscid, and electrically conducting fluid. The proof is based on frequency localized Strichartz estimates for the Neumann Laplacean on unbounded domains.

引用

页码：121 / 143

页数：23

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