Preprint 1999-007

Stability of a Resonant System of Conservation Laws Modeling Polymer Flow with Gravitation

Christian Klingenberg and Nils Henrik Risebro


Abstract: We prove $L^1$ uniqueness and stabiltity for a resonant $2\times 2$ system of conservation laws that arise as a model for two phase polymer flow in porous media. The analysis uses the equivalence of the Eulerian and Lagrangian formulation of this system, and the results are first established for an auxiliary scalar equation. Our methods are based on front tracking approximations for the auxiliary equation, and the Kru\v{z}kov entropy condition for scalar conservation laws.


Paper:
Available as PostScript.
Author(s):
Christian Klingenberg, <klingen@esprit.iwr.uni-heidelberg.de>
Nils Henrik Risebro, <nilshr@math.uio.no>
Publishing information:
Comments:
Submitted by:
<nilshr@math.uio.no> March 10 1999.


[ 1996 | 1997 | 1998 | 1999 | All Preprints | Preprint Server Homepage ]
© The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

Conservation Laws Preprint Server <conservation@math.ntnu.no>
Last modified: Mon Nov 1 10:43:13 1999