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.

引用

页数：9

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