On stability of shock waves in a compressible viscous gas

On the example of the Navier-Stokes model, this paper discusses the approach in which the surface of a strong discontinuity in a a compressible viscous gas is considered as a shock wave. It is proved that this approach contains essential lacks. This conclusion follows from existence of special expon...

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Veröffentlicht in:Matematiche 2002-05, Vol.57 (1), p.3-19
1. Verfasser: Alexander M. Blokhin
Format: Artikel
Sprache:eng
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Zusammenfassung:On the example of the Navier-Stokes model, this paper discusses the approach in which the surface of a strong discontinuity in a a compressible viscous gas is considered as a shock wave. It is proved that this approach contains essential lacks. This conclusion follows from existence of special exponentially increasing solutions to the problem on shock wave stability.
ISSN:0373-3505
2037-5298