Global Small Solutions to the Inviscid Hall-MHD System

被引：1
|
作者：
Zhai, Xiaoping [1 ]
Li, Yongsheng [2 ]
Zhao, Yajuan [2 ]
机构：
[1] Shenzhen Univ, Sch Math & Stat, Shenzhen 518060, Peoples R China
[2] South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China
来源：
JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2021年 / 23卷 / 04期
基金：
中国国家自然科学基金;
关键词：
WELL-POSEDNESS; EQUATIONS; DECAY; EXISTENCE;
D O I：
10.1007/s00021-021-00620-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The local existence of smooth solutions to the inviscid Hall-MHD system has been obtained since Chae, Degond and Liu (Ann. Inst. H. Poincar ' e Anal. Non Lin ' eaire 31:555-565, 2014). However, as far as we know, how to construct the global small solutions to the inviscid Hall-MHD system is still an open problem. In the present paper, we give a positive answer in T-3 when the initial magnetic field is close to a background magnetic field satisfying the Diophantine condition.
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页数：9
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