Existence of smooth shock profiles for hyperbolic systems with relaxation

The aim of this thesis is the proof of the existence of relaxation shock profiles. The existence results apply if the reduced system is strictly hyperbolic and if the underlying hyperbolic system with relaxation fulfills easy-to-check sructural conditions. In general, the ODE system for the relaxation shock profile has a singular right-hand-side. The structural conditions allow the construction of a locally invariant manifold M, where the vector field to this ODE system has a smooth extenstion from a dense subset of M throughout M and the classical center manifold theorem applies. We apply our results to exponentially based moment closure systems.

Level thesis:degree_level

thesis.doctoral

Grantor dc:publisher

Universität Heidelberg

Year

2005

Author dc:creator

• Dressel, Alexander

Contributors dc:contributor

• Jaeger, Willi

Repository record source_url

http://www.ub.uni-heidelberg.de/archiv/5865

OAI identifier oai:identifier

oai:archiv.ub.uni-heidelberg.de:5865