On the viscous and inviscid stability of magnetohydrodynamic shock waves |
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| Authors: | Heinrich Freistühler Yuri Trakhinin |
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| Institution: | a Mathematisches Institut, Universität Leipzig, Postfach 100920, D-04009 Leipzig, Germany
b Sobolev Institute of Mathematics, Koptyug av. 4, 630090 Novosibirsk, Russia |
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| Abstract: | We study the viscous and inviscid stability of shock waves in barotropic and full magnetohydrodynamics. We show that there are magnetohydrodynamic shock waves that are one-dimensionally stable as viscous shock profiles while they are multidimensionally strongly unstable as planar shock discontinuities. |
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| Keywords: | MHD shock waves Viscous stability Inviscid stability |
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