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

✍ Scribed by Paolo Secchi

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
662 KB
Volume
18
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We study an initial boundary value problem for the symmetric hyperbolic quasilinear system of the equations of ideal magneto‐hydrodynamics with a perfectly conducting wall boundary condition. Existence of a unique classical solution is proved inside a suitable class of functions of Sobolev type. Moreover, solutions inside the above class are shown to depend continuously in strong norm on the data.

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