×

Asymptotic behavior for the centered-rarefaction appearance problem. (English) Zbl 1087.35062

The authors consider hyperbolic systems of conservation laws: gas dynamics system in the isothermal case. The initial data are two shock waves with the same direction of motion. The aim is to generalize the weak asymptotic method: the uniform in time asymptotic solution is constructed. The phenomena of a rarefaction wave appearance is described.

MSC:

35L65 Hyperbolic conservation laws
35L67 Shocks and singularities for hyperbolic equations
76L05 Shock waves and blast waves in fluid mechanics
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
PDFBibTeX XMLCite
Full Text: EuDML EMIS