ON THE GLOBAL EXISTENCE TO HALL-MHD SYSTEM

被引：0
|
作者：
Liu, Lvqiao [1 ]
机构：
[1] Anhui Normal Univ, Dept Math & Stat, Wuhu 241001, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年 / 27卷 / 12期
关键词：
Hall-MHD; Lei-Lin spaces; Global existence; BLOW-UP CRITERIA; WELL-POSEDNESS; DECAY; WELLPOSEDNESS; STABILITY;
D O I：
10.3934/dcdsb.2022044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the well-posedness of Hall-magnetohydrodynamics system. By using a new current function J= del x B as an additional unknown. The mild solution of Hall-MHD exists globally in the nonhomogeneous Lei-Lin space setting provided that the initial data satisfies parallel to u(0)parallel to(X-1)parallel to B-0 parallel to(X-1) + parallel to J(0)parallel to(X)(-1) < min {mu/2,nu/2}.
引用
收藏
页码：7301 / 7314
页数：14
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