Uniform local well-posedness for the density-dependent magnetohydrodynamic equations

被引：16

作者：

Fan, Jishan ^{[2
]}

Zhou, Yong ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

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

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 11期

关键词：

MHD; Density-dependent; Vanishing viscosity;

D O I：

10.1016/j.aml.2011.05.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove uniform local-in-time existence and uniqueness of solutions to the density-dependent magnetohydrodynamic equations. (C) 2011 Elsevier Ltd. All rights reserved.

引用

收藏

页码：1945 / 1949

页数：5

相关论文

共 8 条

[1] Abidi H, 2008, P ROY SOC EDINB A, V138, P447
[2] Desjardins B., 1998, Differ. Integral Equ., V11, P377
[3] Fleet T.M., 1980, Differential Analysis
[4] GERBEAU J., 1997, Adv. Differential Equations, V2, P427
[5] ON THE VANISHING VISCOSITY IN THE CAUCHY-PROBLEM FOR THE EQUATIONS OF A NONHOMOGENEOUS INCOMPRESSIBLE FLUID
ITOH, S
[J]. GLASGOW MATHEMATICAL JOURNAL, 1994, 36 : 123 - 129
[6] COMMUTATOR ESTIMATES AND THE EULER AND NAVIER-STOKES EQUATIONS
KATO, T
PONCE, G
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1988, 41 (07) : 891 - 907
[7] A regularity criterion for the density-dependent magnetohydrodynamic equations
Zhou, Yong
Fan, Jishan
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (11) : 1350 - 1355
[8] LOCAL WELL-POSEDNESS FOR THE IDEAL INCOMPRESSIBLE DENSITY DEPENDENT MAGNETOHYDRODYNAMIC EQUATIONS
Zhou, Yong
Fan, Jishan
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2010, 9 (03) : 813 - 818