English

Analytic current-vortex sheets in incompressible magnetohydrodynamics

Analysis of PDEs 2017-06-28 v2

Abstract

In this paper, we address the problem of current-vortex sheets in ideal incompressible magnetohydrodynamics. More precisely, we prove a local-in-time existence and uniqueness result for analytic initial data using a Cauchy-Kowalevskaya theorem.

Cite

@article{arxiv.1603.05114,
  title  = {Analytic current-vortex sheets in incompressible magnetohydrodynamics},
  author = {Olivier Pierre},
  journal= {arXiv preprint arXiv:1603.05114},
  year   = {2017}
}
R2 v1 2026-06-22T13:12:20.156Z