GLOBAL STRONG SOLUTIONS FOR PLANAR FULL COMPRESSIBLE HALL-MHD EQUATIONS WITH LARGE INITIAL DATA

被引：0

作者：

Lai, Suhua ^{[1
,2
]}

Xu, Xinying ^{[2
]}

机构：

[1] Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Jiangxi, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2021年 / 19卷 / 07期

基金：

美国国家科学基金会;

关键词：

Hall-MHD; global strong solutions; large initial data; NAVIER-STOKES EQUATIONS; WELL-POSEDNESS; BLOW-UP; TIME BEHAVIOR; EXISTENCE; CRITERION; LIMIT;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper establishes the global existence of strong solutions for planar compressible, viscous, heat-conductive (i.e., full fluids) Hall-MHD equations with large initial data. The uniform positive lower and upper bounds of the density are achieved by adopting the idea from [S. Jiang, Comm. Math. Phys., 200:181-193, 1999.] for the Navier-Stokes equation and Calder6n-Zygmund decomposition technique. Based on the bounds of the density and the skew-symmetric nature of the Hall term, we derive our conclusion of Theorem 1.1.

引用

页码：1913 / 1943

页数：31

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