Existence of local solutions to a free boundary problem for incompressible viscous magnetohydrodynamics

DOI10.1007/s00021-024-00879-yzbMath1545.35111MaRDI QIDQ6586831

Wojciech M. Zajączkowski, Piotr Kacprzyk

Publication date: 13 August 2024

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

free boundarymethod of successive approximationsregularizer techniqueincompressible magnetohydrodynamics with resistivitytransmission conditions on the free surface

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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