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Preprint 2007-027

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.

Paper:
Available as PDF (3.8 Mbytes).
Author(s):
Helge Holden,
Nils Henrik Risebro,
Hilde Sande,
Publishing information:
To appear in JHDE.
Comments:
Updated 2008-11-12.
Submitted by:
; 2007-12-03.
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Last modified: 2008-11-12 13:29 UTC