\(L_p\)-theory of free boundary problems of magnetohydrodynamics in multi-connected domains

DOI10.1007/s11565-014-0205-4zbMath1304.35572OpenAlexW2049768165MaRDI QIDQ467173

Vsevolod A. Solonnikov

Publication date: 3 November 2014

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-014-0205-4

zbMATH Keywords

Sobolev spacessolenoidal vector fieldsmagnetohydrodynamicsfree boundaries

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Free boundary problems for PDEs (35R35)

Cites Work

• \(L_p\)-estimates for a linear problem arising in the study of the motion of an isolated liquid mass
• On the free boundary problem of magnetohydrodynamics
• On a problem of magnetohydrodynamics in a multi-connected domain
• The linearization principle and invariant manifolds for problems of magnetohydrodynamics
• Free boundary problems of magnetohydrodynamics in multi-connected domains
• $L_{p}$-estimates of the solution of a linear problem arising in magnetohydrodynamics
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