THE SOLUTION OF THE CAUCHY PROBLEM WITH LARGE DATA FOR A MODEL OF A MIXTURE OF GASES

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 p...

Full description

Saved in:
Bibliographic Details
Published in:Journal of hyperbolic differential equations 2009-03, Vol.6 (1), p.25-106
Main Authors: HOLDEN, HELGE, RISEBRO, NILS HENRIK, SANDE, HILDE
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0219-8916
1793-6993
DOI:10.1142/S0219891609001757