Local well-posedness of the plasma-vacuum interface problem for the ideal incompressible MHD

DOI10.1016/j.jde.2023.11.004zbMath1530.35238OpenAlexW4388744516MaRDI QIDQ6142411

Wen-bin Zhao

Publication date: 21 December 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2023.11.004

zbMATH Keywords

well-posednessfree boundaryincompressible MHDplasma-vacuum

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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