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

Ming-Cheng Shiue*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)215-228
Number of pages14
JournalNonlinear Analysis, Theory, Methods and Applications
Volume76
Issue number1
DOIs
StatePublished - 1 Jan 2013

Keywords

  • Local well-posedness
  • Magnetohydrodynamics
  • Shallow water

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