title: Existence of smooth shock profiles for hyperbolic systems with relaxation
creator: Dressel, Alexander
subject: 510
subject: 510 Mathematics
description: 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.
date: 2005
type: Dissertation
type: info:eu-repo/semantics/doctoralThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/5865/1/diss.pdf
identifier: DOI:10.11588/heidok.00005865
identifier: urn:nbn:de:bsz:16-opus-58651
identifier:   Dressel, Alexander  (2005) Existence of smooth shock profiles for hyperbolic systems with relaxation.  [Dissertation]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/5865/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: ger