Local existence of solutions of the free boundary problem for the equations of a magnetohydrodynamic incompressible fluid

DOI10.4064/am30-4-8zbMath1059.35106OpenAlexW2009496717MaRDI QIDQ4829399

Piotr Kacprzyk

Publication date: 29 November 2004

Published in: Applicationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/am30-4-8

zbMATH Keywords

Sobolev spaceslocal existencelinearized equationssuccessive approximationsGalerkin regularizationmagnetohydrodynamic incompressible fluid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (3)

On the eigenvalues and eigenfunctions for a free boundary problem for incompressible viscous magnetohydrodynamics ⋮ On the Faedo-Galerkin method for a free boundary problem for incompressible viscous magnetohydrodynamics ⋮ On local solutions to a free boundary problem for incompressible viscous magnetohydrodynamics in the $L_p$-approach

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