Flores-Espinoza, Ruben; Omel’yanov, Georgii A. Asymptotic behavior for the centered-rarefaction appearance problem. (English) Zbl 1087.35062 Electron. J. Differ. Equ. 2005, Paper No. 148, 25 p. (2005). 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. Reviewer: Ilya A. Chernov (Petrozavodsk) Cited in 5 Documents 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 Keywords:Gas dynamics; shock waves; rarefaction wave; weak asymptotic solution PDFBibTeX XMLCite \textit{R. Flores-Espinoza} and \textit{G. A. Omel'yanov}, Electron. J. Differ. Equ. 2005, Paper No. 148, 25 p. (2005; Zbl 1087.35062) Full Text: EuDML EMIS