Electron. J. Diff. Eqns., Vol. 2005(2005), No. 148, pp. 1-25.

Asymptotic behavior for the centered-rarefaction appearance problem

Ruben Flores-Espinoza, Georgii A. Omel'yanov

Abstract:
We construct a uniform in time asymptotic behavior, describing the interaction of two isothermal shock waves with the same direction of motion. The main result is that any smooth regularization of the problem implies the realization of the stable scenario of interaction. In particular, the rarefaction wave appearance is described.

Submitted June 9, 2005. Published December 13, 2005.
Math Subject Classifications: 35l65, 35L67.
Key Words: Gas dynamics; shock wave; rarefaction wave; interaction; weak asymptotic behaviour.

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Ruben Flores Espinoza
Departamento de Matematicas
Universidad de Sonora
Hermosillo, 83000, Mexico
email: rflorese@gauss.mat.uson.mx
Georgii A. Omel'yanov
Departamento de Matematicas
Universidad de Sonora
Hermosillo, 83000, Mexico
email: omel@hades.mat.uson.mx

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