GLOBAL WELL-POSEDNESS FOR THE DENSITY-DEPENDENT INCOMPRESSIBLE MAGNETOHYDRODYNAMIC FLOWS IN BOUNDED DOMAINS

被引：0

作者：

陈德富 ^{[1
]}

叶霞 ^{[1
]}

机构：

[1] College of Mathematics and Information Science, Jiangxi Normal University

来源：

Acta Mathematica Scientia | 2018年 / 06期

关键词：

incompressible MHD; global solution; small initial data;

D O I：

暂无

中图分类号：

O411 [物理学的数学方法];

学科分类号：

0701 ;

摘要：

In this paper, we study the three-dimensional incompressible magnetohydrodynamic equations in a smooth bounded domains, in which the viscosity of the fluid and the magnetic diffusivity are concerned with density. The existence of global strong solutions is established in vacuum cases, provided the assumption that(|| ?μ(ρ0)|| Lp +|| ?ν(ρ0) ||Lq + ||b0|| L3+ ||ρ0|| L∞)(p, q > 3) is small enough, there is not any smallness condition on the velocity.

引用

页码：1833 / 1845

页数：13

共 50 条

[1] GLOBAL WELL-POSEDNESS FOR THE DENSITY-DEPENDENT INCOMPRESSIBLE MAGNETOHYDRODYNAMIC FLOWS IN BOUNDED DOMAINS
Chen, Defu
Ye, Xia
[J]. ACTA MATHEMATICA SCIENTIA, 2018, 38 (06) : 1833 - 1845
[2] Global Well-posedness for the Density-Dependent Incompressible Flow of Liquid Crystals
Zhai, Xiaoping
Chen, Zhi-Min
[J]. ACTA APPLICANDAE MATHEMATICAE, 2018, 158 (01) : 139 - 166
[3] Global Well-posedness for the Density-Dependent Incompressible Flow of Liquid Crystals
Xiaoping Zhai
Zhi-Min Chen
[J]. Acta Applicandae Mathematicae, 2018, 158 : 139 - 166
[4] Uniform local well-posedness for the density-dependent magnetohydrodynamic equations
Fan, Jishan
Zhou, Yong
[J]. APPLIED MATHEMATICS LETTERS, 2011, 24 (11) : 1945 - 1949
[5] Well-posedness for the density-dependent incompressible flow of liquid crystals
Xu, Fuyi
Hao, Shengang
Yuan, Jia
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (13) : 2680 - 2702
[6] LOCAL WELL-POSEDNESS FOR DENSITY-DEPENDENT INCOMPRESSIBLE EULER EQUATIONS
Wei, Zhiqiang
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[7] Global well-posedness for the incompressible MHD equations with density-dependent viscosity and resistivity coefficients
Xin Si
Xia Ye
[J]. Zeitschrift für angewandte Mathematik und Physik, 2016, 67
[8] Global well-posedness for the incompressible Navier Stokes equations with density-dependent viscosity coefficient
Zhang, Jianwen
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 259 (05) : 1722 - 1742
[9] 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
[10] Global well-posedness for the incompressible MHD equations with density-dependent viscosity and resistivity coefficients
Si, Xin
Ye, Xia
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2016, 67 (05):

← 1 2 3 4 5 →