Strong solutions to the 2D Cauchy problem of nonhomogeneous magnetohydrodynamic equations with vacuum

被引：4

作者：

Lue, Boqiang ^{[1
]}

Wang, Xiang ^{[2
]}

Zhong, Xin ^{[3
]}

机构：

[1] Nanchang Hangkong Univ, Coll Math & Informat Sci, Nanchang 330063, Jiangxi, Peoples R China

[2] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

[3] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 61卷 / 10期

关键词：

NAVIER-STOKES EQUATIONS; GLOBAL STRONG SOLUTION; CLASSICAL-SOLUTIONS; BOUNDARY; EXISTENCE; BEHAVIOR;

D O I：

10.1063/5.0019441

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the strong solutions to the Cauchy problem of nonhomogeneous incompressible magnetohydrodynamic (MHD) equations on the whole two-dimensional (2D) space with vacuum as far field density. In particular, the initial density can have compact support. If both the initial density and the initial magnetic field decay not too slow at infinity, the 2D Cauchy problem of the nonhomogeneous incompressible MHD equations admits a unique local strong solution.

引用

页数：19

共 29 条

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