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

Ming-Cheng Shiue

doi:10.1016/j.na.2012.08.016

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

Ming-Cheng Shiue^*

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	215-228
Number of pages	14
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	76
Issue number	1
DOIs	https://doi.org/10.1016/j.na.2012.08.016
State	Published - 1 Jan 2013

Keywords

Local well-posedness
Magnetohydrodynamics
Shallow water

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