LOCAL SOLVABILITY OF FREE BOUNDARY PROBLEMS IN IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS WITH AND WITHOUT SURFACE TENSION

LOCAL SOLVABILITY OF FREE BOUNDARY PROBLEMS IN IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS WITH AND WITHOUT SURFACE TENSION Full article

Journal

Journal of Applied Mechanics and Technical Physics
ISSN: 0021-8944

Output data

Year: 2021, Volume: 62, Number: 4, Pages: 684-691 Pages count : 8 DOI: 10.1134/S0021894421040180

Tags

free boundary problem; local theorem of existence and uniqueness; magnetohydrodynamics; surface tension

Authors

Trakhinin Y.L. ¹

Affiliations

1	Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation

Abstract: Results are presented on local-in-time solvability of free boundary problems for a system of ideal compressible magnetohydrodynamics. A free plasma-vacuum interface problem and a free boundary problem with boundary conditions on a contact discontinuity are considered. An approach is given for proving the local existence and uniqueness of smooth solutions of these problems with and without surface tension. © 2021, Pleiades Publishing, Ltd.

Trakhinin Y.L.
LOCAL SOLVABILITY OF FREE BOUNDARY PROBLEMS IN IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS WITH AND WITHOUT SURFACE TENSION
Journal of Applied Mechanics and Technical Physics. 2021. V.62. N4. P.684-691. DOI: 10.1134/S0021894421040180 WOS Scopus OpenAlex

Web of science:	WOS:000722890000018
Scopus:	2-s2.0-85119966247
OpenAlex:	W3214744981

DB	Citing
Scopus	1
OpenAlex	1
Web of science	1