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.
|Number of pages||14|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|State||Published - 1 Jan 2013|
- Local well-posedness
- Shallow water