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Erschienen in:
1991 | OriginalPaper | Buchkapitel
An Application of Connection Matrix to Magnetohydrodynamic Shock Profiles
verfasst von : Harumi Hattori, Konstantin Mischaikow
Erschienen in: Multidimensional Hyperbolic Problems and Computations
Verlag: Springer New York
Enthalten in: Professional Book Archive
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In this note we shall summarize how to use the connection matrix to show the existence of a viscous profile to the magnetohydrodynamic (MHD) equations. Although Freistuhler [1] has obtained various intermediate shock profiles in a different parameter regime, our technique is different and interesting to know. This is a technique based on algebraic topology and an extension of Con-ley’s index. As the detailed version will be appearing elsewhere [2], in this note we concentrate on how to use the connection matrix.