On Global and Decay Solution of Viscous Compressible MHD Equations

被引：0

作者：

Benabidallah, Rachid ^{[1
]}

Ebobisse, Francois ^{[2
]}

Azouz, Mohamed ^{[3
]}

机构：

[1] Univ M Mammeri, Dept Math, Tizi Ouzou, Algeria

[2] Univ Cape Town, Dept Math & Appl Math, Cape Town, South Africa

[3] Univ M Mammeri, Fac Sci, Lab Math Pures & Appl LMPA, Tizi Ouzou, Algeria

来源：

STUDIES IN APPLIED MATHEMATICS | 2025年 / 154卷 / 01期

关键词：

compressible flows; existence problems; magnetic field; magnetohydrodynamic equations; stability; MAGNETOHYDRODYNAMIC EQUATIONS; CONTINUOUS DEPENDENCE; CLASSICAL-SOLUTIONS; WEAK SOLUTIONS; INITIAL DATA; STABILITY; EXISTENCE; LIMIT; MOTION; RATES;

D O I：

10.1111/sapm.12794

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider in an infinite horizontal layer, the equations of the viscous compressible magnetohydrodynamic flows subject to the gravitational force. On the upper and lower planes of the layer, we consider homogeneous Dirichlet conditions on the velocity while a large constant vector field is prescribed on the magnetic field. The existence of the global strong solution with small initial data and its asymptotic behavior as time goes to infinity are established.

引用

页数：21

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