Existence and stability for the 3D linearized constant-coefficient incompressible current-vortex sheets
type: Item
instance of: scholarly article
title: Existence and stability for the 3D linearized constant-coefficient incompressible current-vortex sheets
zbMATH Open document ID: 1402.76153
DOI: 10.1155/2013/595819
author: Davide Catania
published in: International Journal of Differential Equations
publication date: 2013-06-10T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 82D10
Mathematics Subject Classification ID: 85A30
zbMATH DE Number: 6172134
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/595819
OpenAlex ID: W1983105235
Wikidata QID: Q58923612
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description: scientific article; zbMATH DE number 6172134