GLOBAL WELL-POSEDNESS OF THE 3D INCOMPRESSIBLE HALL-MHD EQUATIONS FOR SMALL INITIAL DATA IN CERTAIN BESOV SPACES

被引：2

作者：

Ma, Caochuan ^{[1
]}

机构：

[1] Tianshui Normal Univ, Dept Math, Tianshui 741000, Gansu, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2020年 / 50卷 / 06期

关键词：

global well-posedness; Hall-MHD equations; large velocity; BLOW-UP CRITERIA; REGULARITY CRITERIA; MAGNETIC RECONNECTION; MAGNETOHYDRODYNAMICS; EXISTENCE; DECAY;

D O I：

10.1216/rmj.2020.50.2127

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove global well-posedness of solution to the 3D incompressible Hall-magnetohydrodynamics (Hall-MHD) equations, where the initial data is in critical Besov space. Since the initial vertical velocity may be large enough, our work improves some recent results in [28; 30].

引用

页码：2127 / 2139

页数：13

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