International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 19, Pages 3111-3126
doi:10.1155/IJMMS.2005.3111
Interaction of shock waves in gas dynamics: uniform in time asymptotics
M.G. García-Alvarado
, R. Flores-Espinoza
and G.A. Omel'yanov
Departamento de Matemáticas, Universidad de Sonora 83000, Sonora, Mexico
Abstract
We construct a uniform in time asymptotics describing the interaction of two isothermal shock waves with opposite directions of motion. We show that any smooth regularization of the problem implies the realization of the stable scenario of interaction.