An initial boundary value problem for one-dimensional shallow water magnetohydrodynamics in the solar tachocline

被引：5

作者：

Shiue, Ming-Cheng ^{[1
]}

机构：

[1] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu 300, Taiwan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 76卷

关键词：

Shallow water; Local well-posedness; Magnetohydrodynamics; EQUATIONS; SCHEME;

D O I：

10.1016/j.na.2012.08.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we investigate the shallow water magnetohydrodynamic equations in space dimension one with Dirichlet boundary conditions only for the velocity. This model has been proposed to study the phenomena in the solar tachocline. In this article, the local well-posedness in time of the model is proven by constructing the approximate solutions and showing the strong convergence of the approximate solutions. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：215 / 228

页数：14

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