Asymptotic stability of stationary solutions for Hall magnetohydrodynamic equations

被引：1

作者：

Tan, Zhong ^{[1
]}

Tong, Leilei ^{[1
]}

机构：

[1] Xiamen Univ, Fujian Prov Key Lab Math Modeling & High Performa, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2018年 / 69卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Hall MHD equations; Stationary solutions; Time decay rate; Energy method; STOKES-POISSON SYSTEM; LARGE-TIME BEHAVIOR; OPTIMAL DECAY-RATE; MACH NUMBER LIMIT; GLOBAL EXISTENCE; REGULARITY CRITERIA; CLASSICAL-SOLUTIONS; WELL-POSEDNESS; COULOMB FORCE; DIMENSIONS;

D O I：

10.1007/s00033-018-0944-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the large time behavior of the compressible Hall magnetohydrodynamic equations with Coulomb force in R-3 near the non-constant equilibrium state. We derive the global existence provided that the initial perturbation is sufficiently small. Moreover, under the further assumption that the doping profile is of small variation, we obtain the convergence rates by combining the linear L-p-L-q decay estimates.

引用

页数：28

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