Global existence and asymptotic behavior for the 3D generalized Hall-MHD system

被引：33

作者：

Wu, Xing ^{[1
]}

Yu, Yanghai ^{[1
]}

Tang, Yanbin ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2017年 / 151卷

基金：

中国国家自然科学基金;

关键词：

Generalized Hall-MHD equations; Global existence; Asymptotic behavior; QUASI-GEOSTROPHIC EQUATIONS; WELL-POSEDNESS; MAGNETOHYDRODYNAMICS; DECAY; REGULARITY; CRITERION; SPACE; UNIQUENESS;

D O I：

10.1016/j.na.2016.11.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the global existence for the 3D generalized Hall-MHD equations with fractional dissipative terms (-Delta)(alpha)u and (-Delta)(alpha)b under small initial data in the setting of Sobolev norms with lower regularity. For the global existence we enlarge the range of dissipative exponents alpha = beta from (1, 7/6] to (1, 3/2), which established in a recent work. In addition, the long time behavior and rates of decay for both the solutions and higher derivatives in different Sobolev spaces are obtained by using the Fourier splitting method, which extends the previous work by Chae and Schonbek. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：41 / 50

页数：10

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