Global regularity of the 2D generalized MHD equations with velocity damping and Laplacian magnetic diffusion

被引：0

作者：

Zhang, Zhaoyun ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2022年 / 73卷 / 02期

关键词：

Generalized MHD; Global regularity; Damping; EULER-BOUSSINESQ SYSTEM; LOCAL EXISTENCE; WELL-POSEDNESS; SMOOTH SOLUTIONS; UNIQUENESS;

D O I：

10.1007/s00033-022-01699-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we focus on the global regularity of smooth solutions for 2D incompressible generalized magnetohydrodynamics equations with a velocity damping term and the standard Laplacian magnetic diffusion. We show that this system has the unique global smooth solutions when the initial data in Besov space are suitably small.

引用

页数：16

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