Global regularity of 2D incompressible Leray-alpha-MHD equations with only magnetic diffusion

被引：1

作者：

Wen, Zhihong ^{[1
]}

机构：

[1] Jiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 475卷 / 01期

关键词：

Leray-alpha-MHD equations; Global regularity; Fractional Laplacian; CAUCHY-PROBLEM;

D O I：

10.1016/j.jmaa.2019.02.072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the global regularity for the two-dimensional incompressible Leray-alpha-MHD equations with only magnetic diffusion. More precisely, when the diffusive term for the magnetic field is a half Laplacian, the solution initiated from data sufficiently smooth preserves its regularity. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：782 / 789

页数：8

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