Highly Influenced

4 Excerpts

- Published 2014

We consider the free boundary problem for current-vortex sheets in ideal incompressible magnetohydrodynamics. The problem of current-vortex sheets arises naturally, for instance, in geophysics and astrophysics. We prove the existence of a unique solution to the constant-coefficient linearized problem and an a priori estimate with no loss of derivatives. This is a preliminary result to the study of linearized variable-coefficient current-vortex sheets, a first step to prove the existence of solutions to the nonlinear problem.

@inproceedings{Catania2014ExistenceAS,
title={Existence and Stability for the 3D Linearized Constant-Coefficient Incompressible Current-Vortex Sheets},
author={Davide Catania and Helge Holden},
year={2014}
}