Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 148, pp. 1-25.

Title: Asymptotic behavior for the centered-rarefaction 
       appearance problem
       
Authors: Ruben Flores-Espinoza (Univ. de Sonora, Hermosillo, Mexico)
         Georgii A. Omel'yanov (Univ. de Sonora, Hermosillo, Mexico)

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.