GLOBAL WELL-POSEDNESS AND LARGE TIME BEHAVIOR TO 2D BOUSSINESQ EQUATIONS FOR MHD CONVECTION

被引：1

作者：

WANG, S. H. A. S. H. A. ^{[1
]}

XU, WEN-QING ^{[2
]}

LIU, J. I. T. A. O. ^{[3
]}

机构：

[1] Shijiazhuang Tiedao Univ, Dept Math & Phys, Shijiazhuang 050043, Hebei, Peoples R China

[2] Calif State Univ Long Beach, Dept Math & Stat, Long Beach, CA 90840 USA

[3] Beijing Univ Technol, Dept Math, Fac Sci, Beijing 100124, Peoples R China

来源：

METHODS AND APPLICATIONS OF ANALYSIS | 2022年 / 29卷 / 01期

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

MHD-Boussinesq equations; global well-posedness; large time behavior; Fourier splitting; BOUNDARY VALUE-PROBLEM; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; MAGNETOHYDRODYNAMICS SYSTEM; ASYMPTOTIC-BEHAVIOR; PARTIAL VISCOSITY; REGULARITY; DECAY; CRITERION; MODEL;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Cauchy problem for the 2D incompressible MHD-Boussinesq equations without thermal diffusion. We prove the global existence and uniqueness of the solutions for suitably regular initial data. To obtain large time decay properties of the solutions, we insert an artificial thermal damping term. By applying the classical Fourier splitting methods, we derive optimal large time decay rates of the solutions and their first-order derivatives.

引用

页码：31 / 56

页数：26

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