Le Matematiche (May 2002)
On stability of shock waves in a compressible viscous gas
Abstract
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.