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Local solvability of problems with free boundaries in the magnetic hydrodynamics of an ideal compressible fluid with and without account for surface tension
Yu. L. Trakhinin Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, 630090, Novosibirsk, Russia
Abstract:
Data are presented on time-local solvability of problems with free boundaries for a system of equations of magnetohydrodynamics of an ideal compressible fluid. A problem with a free plasma-vacuum boundary and a problem with boundary conditions on a contact discontinuity are considered. A scheme is given for proving the local existence and uniqueness of smooth solutions of these problems with and without account for surface tension.
Keywords:
magnetohydrodynamics, free boundary problem, surface tension, local theorem of existence and uniqueness.
Received: 11.05.2021 Revised: 17.05.2021 Accepted: 31.05.2021
Citation:
Yu. L. Trakhinin, “Local solvability of problems with free boundaries in the magnetic hydrodynamics of an ideal compressible fluid with and without account for surface tension”, Prikl. Mekh. Tekh. Fiz., 62:4 (2021), 181–190; J. Appl. Mech. Tech. Phys., 62:4 (2021), 684–691
Linking options:
https://www.mathnet.ru/eng/pmtf141 https://www.mathnet.ru/eng/pmtf/v62/i4/p181
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Abstract page: | 71 | Full-text PDF : | 1 | References: | 16 | First page: | 12 |
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