The initial boundary value problem for the equations of ideal magneto- hydrodynamics

DOI10.14492/hokmj/1381518181zbMath0657.76085OpenAlexW2043110354MaRDI QIDQ1111422

Taku Yanagisawa

Publication date: 1987

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1381518181

zbMATH Keywords

ideal magnetohydrodynamicsuniqueness theoremlocal in time existenceinitial boundary value problembounded domainboundary matrixinitial pressurequasilinear symmetric hyperbolic system

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (8)

Singular limit of the nonisentropic compressible ideal MHD equations in a domain with boundary ⋮ On an initial boundary value problem for the equations of ideal magneto‐hydrodynamics ⋮ Probleme Mixte Hyperbolique Quasi-Lineaire Caracteristique ⋮ Existence of multi‐dimensional contact discontinuities for the ideal compressible magnetohydrodynamics ⋮ Small Alfvén number limit for incompressible magneto-hydrodynamics in a domain with boundaries ⋮ On nonviscous compressible fluids in a time-dependent domain ⋮ Well-posedness for a mixed problem for the equations of ideal magneto- hydrodynamics ⋮ The fixed boundary value problems for the equations of ideal magneto- hydrodynamics with a perfectly conducting wall condition

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