Global well-posedness for the 2-D nonhomogeneous incompressible MHD equations with large initial data

被引：4

作者：

Zhai, Xiaoping ^{[1
]}

Li, Yongsheng ^{[2
]}

Xu, Huan ^{[3
]}

机构：

[1] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Guangdong, Peoples R China

[2] South China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China

[3] Auburn Univ, Dept Math, Auburn, AL 36849 USA

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2017年 / 33卷

关键词：

Global well-posedness; MHD equations; Besov space; DENSITY; SYSTEM; REGULARITY; EXISTENCE;

D O I：

10.1016/j.nonrwa.2016.05.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the 2-D nonhomogeneous incompressible magnetohydrodynamic equations with variable viscosity and variable conductivity. We obtain the global existence of solutions for this system with initial data in the scaling invariant Besov spaces and without size restriction for the initial velocity and magnetic field. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：1 / 18

页数：18

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