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Nonlinear stability of overcompresive shock waves in a rotationally invariant system of viscous conservation laws

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Abstract

This paper proves that certain non-classical shock waves in a rotationally invariant system of viscous conservation laws posses nonlinear large-time stability against sufficiently small perturbations. The result applies to small intermediate magnetohydrodynamic shocks in the presence of dissipation.

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Authors and Affiliations

  1. Institut für Mathematik, RWTH Aachen, W-5100, Aachen, Germany

    Heinrich Freistühler

  2. Mathematics Department, Stanford University, 94305, CA, USA

    Tai-Ping Liu

Authors
  1. Heinrich Freistühler
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  2. Tai-Ping Liu
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Additional information

Communicated by A. Jaffe

Research supported by Deutsche Forschungsgemeinschaft

Research supported in part by NSF Grant DMS 90-0226 and Army Grant DAAL 03-91-G-0017

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Freistühler, H., Liu, TP. Nonlinear stability of overcompresive shock waves in a rotationally invariant system of viscous conservation laws. Commun.Math. Phys. 153, 147–158 (1993). https://doi.org/10.1007/BF02099043

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  • DOI: https://doi.org/10.1007/BF02099043

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