LOCAL WELL-POSEDNESS OF THE FULL COMPRESSIBLE NAVIER-STOKES-MAXWELL SYSTEM WITH VACUUM

被引：3

作者：

Fan, Jishan ^{[1
]}

Jia, Yueling ^{[2
]}

机构：

[1] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Jiangsu, Peoples R China

[2] Inst Appl Phys & Computat Math, FengHao East Rd, Beijing 100094, Peoples R China

来源：

关键词：

Navier-Stokes-Maxwell; vacuum; local well-posedness; LARGE TIME BEHAVIOR; MACH NUMBER LIMIT; MAGNETOHYDRODYNAMIC EQUATIONS; CONVERGENCE;

D O I：

10.3934/krm.2018005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the local well-posedness of strong solutions for a compressible Navier-Stokes-Maxwell system, provided the initial data satisfy a natural compatibility condition. We do not assume the positivity of initial density, it may vanish in an open subset (vacuum) of Omega.

引用

页码：97 / 106

页数：10

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