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Analytic Current–Vortex Sheets in Incompressible Magnetohydrodynamics

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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.

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Authors and Affiliations

  1. Laboratoire de Mathématiques Jean Leray UMR CNRS 6629, Université de Nantes, 2, rue de la Houssinière, 44322, Nantes Cedex 03, France

    Olivier Pierre

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  1. Olivier Pierre
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Correspondence to Olivier Pierre.

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Communicated by G.P. Galdi.

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Pierre, O. Analytic Current–Vortex Sheets in Incompressible Magnetohydrodynamics. J. Math. Fluid Mech. 20, 1269–1315 (2018). https://doi.org/10.1007/s00021-018-0366-5

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  • DOI: https://doi.org/10.1007/s00021-018-0366-5

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