Analysis of two stationary magnetohydrodynamics systems of equations including Joule heating

被引：41

作者：

Bermudez, A. ^{[1
]}

Munoz-Sola, R. ^{[1
]}

Vazquez, R. ^{[2
]}

机构：

[1] Univ Santiago de Compostela, Dept Matemat Aplicada, Santiago De Compostela 15782, Spain

[2] CNR, Ist Matemat Applicata & Tecnol Informat, I-27100 Pavia, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 368卷 / 02期

关键词：

Magnetohydrodynamics; Joule heating; Boussinesq approximation; Coupled nonlinear PDE; Existence of solution; LIPSCHITZ POLYHEDRA; TRACES; APPROXIMATION; UNIQUENESS; EXISTENCE;

D O I：

10.1016/j.jmaa.2010.03.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the coupling of the equations of steady-state magnetohydrodynamics (MHO) with the heat equation when the buoyancy effects due to temperature differences in the flow as well as Joule effect and viscous heating are (all) taken into account. Two models for the gravity force are considered: the first one is the well-known Boussinesq approximation: in the second one density is assumed to be constant except in the gravity force, where it is assumed to be a non-increasing function of the temperature. The equations are posed in a bounded three-dimensional domain. We give existence results of weak solutions to both models under certain conditions on the data. We also give some uniqueness results. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：444 / 468

页数：25