Global regularity for the 3D MHD system with partial viscosity and magnetic diffusion terms

被引：5

作者：

Ye, Xia ^{[1
]}

Zhu, Mingxuan ^{[2
]}

机构：

[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China

[2] Jiaxing Univ, Dept Math, Jiaxing 314001, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 458卷 / 02期

关键词：

Incompressible MHD system; Global solution; Small initial data; Partial viscosity and magnetic diffusion; 2-DIMENSIONAL MAGNETOHYDRODYNAMIC FLOWS; MIXED PARTIAL DISSIPATION; WELL-POSEDNESS; BOUSSINESQ EQUATIONS; WEAK SOLUTIONS; CRITERIA; EXISTENCE;

D O I：

10.1016/j.jmaa.2017.10.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the Cauchy problem of the incompressible magnetohydrodynamic system with partial viscosity and magnetic diffusion terms in the three-dimensional whole space. The existence of the global strong solution (u, b) is obtained, provided that the initial data (parallel to u(0)parallel to(2)(L2) + parallel to b(0)parallel to(2)(L2)) (parallel to del u(0)parallel to(2)(L2) + del b(0)parallel to(2)(L2)) suitably small. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：980 / 991

页数：12

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