On the existence of Lp solutions of the magnetohydrodynamic equations in a bounded domain

被引：5

作者：

Akiyama, T ^{[1
]}

机构：

[1] Waseda Univ, Dept Math Sci, Sch Sci & Engn, Shinjuku Ku, Tokyo 1698555, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 54卷 / 06期

关键词：

magnetohydrodynamic equations; global solutions; L-p-L-q estimate; integral equations; parabolic-type Maxwell equations;

D O I：

10.1016/S0362-546X(03)00132-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show the existence of LP solutions of the magnetohydrodynamic equations with the non-slip boundary condition and the perfect conducting wall boundary condition. The magnetohydrodynamic equations are a phenomenological model for magnetic fluid. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：1165 / 1174

页数：10

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