Publishing House SB RAS:

Publishing House SB RAS:

Address of the Publishing House SB RAS:
Morskoy pr. 2, 630090 Novosibirsk, Russia

Advanced Search

Journal of Applied Mechanics and Technical Physics

2021 year, number 4

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, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: magnetohydrodynamics, free boundary problem, surface tension, local theorem of existence and uniqueness


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.