ANALYTIC CURRENT-VORTEX SHEETS IN INCOMPRESSIBLE MAGNETOHYDRODYNAMICS

Olivier Pierre (1)

1 Equations aux dérivées partielles

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.

Mots clés: Cauchy-Kovalevskaya theorem; Magnetohydrodynamics MHD; Current-vortex sheets

Domaines: Equations aux dérivées partielles [math.AP]

Olivier Pierre. ANALYTIC CURRENT-VORTEX SHEETS IN INCOMPRESSIBLE MAGNETOHYDRODYNAMICS. 2017. ⟨hal-01288604v2⟩