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Journal of Mathematical Fluid Mechanics

, Volume 20, Issue 3, pp 1269–1315 | Cite as

Analytic Current–Vortex Sheets in Incompressible Magnetohydrodynamics

  • Olivier Pierre
Article

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.

Keywords

Magnetohydrodynamics current–vortex sheet Cauchy–Kowalevskaya theorem 

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Conflict of interest

The author declares that he has no conflict of interest.

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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Laboratoire de Mathématiques Jean Leray UMR CNRS 6629Université de NantesNantes Cedex 03France

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