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.
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页码：782 / 789
页数：8
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