NDLI: An initial boundary value problem in ideal Magneto-Hydrodynamics

Content Provider	Springer Nature Link
Author	Secchi, Paolo
Copyright Year	2002
Abstract	We consider the initial-boundary value problem for the system of equations of ideal Magneto-Hydrodynamics with a perfectly conducting wall boundary condition. Because of the characteristic boundary, where a loss of regularity in the normal direction to the boundary may occur, the natural functional setting is provided by anisotropic Sobolev spaces, which take account of such singular behavior. We show the existence of the regular solution in the anisotropic Sobolev space $ H_{**}^m $ for $ m\geq 6 $ . The result improves previous results of the author and of Yanagisawa - Matsumura.
Starting Page	441
Ending Page	458
Page Count	18
File Format	PDF
ISSN	10219722
Journal	Nonlinear Differential Equations and Applications NoDEA
Volume Number	9
Issue Number	4
e-ISSN	14209004
Language	English
Publisher	Birkhäuser Verlag
Publisher Date	2002-11-01
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Analysis

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An initial boundary value problem in ideal Magneto-Hydrodynamics