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.
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Last modified: Mon Nov 1 10:43:13 1999