The solution of the Cauchy problem with large data for a model of a mixture of gases
Helge Holden, Nils Henrik Risebro and Hilde Sande
Abstract: In this paper we study mixture of gases, each governed by a gamma law. The system is modeled by the p-system with variable gamma. We use this model to study immiscible gas flow. The main result is that the Cauchy problem with large data is shown to have a solution. We use the Glimm scheme for the proof. The result is illustrated by numerical examples.