On stability of shock waves in relativistic magnetohydrodynamics

Author:
Yu. L. Trakhinin

Journal:
Quart. Appl. Math. **59** (2001), 25-45

MSC:
Primary 76W05; Secondary 35L50, 35Q35, 76L05

DOI:
https://doi.org/10.1090/qam/1811093

MathSciNet review:
MR1811093

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Abstract | References | Similar Articles | Additional Information

Abstract: The structural stability of relativistic magnetohydrodynamic shock waves is studied. Stability results are obtained for the special case of fast parallel shock waves. It is proved that the instability and linear stability domains coincide with those of shock waves in relativistic gas dynamics. The domain of structural (nonlinear) stability, where the uniform Lopatinski condition is fulfilled for the stability problem, is found. It is shown that the structural stability domain is smaller than that of relativistic gas dynamic shock waves.

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DOI:
https://doi.org/10.1090/qam/1811093

Article copyright:
© Copyright 2001
American Mathematical Society