eprintid: 5865
rev_number: 8
eprint_status: archive
userid: 1
dir: disk0/00/00/58/65
datestamp: 2005-11-16 12:48:22
lastmod: 2014-04-03 19:19:01
status_changed: 2012-08-14 15:16:33
type: doctoralThesis
metadata_visibility: show
creators_name: Dressel, Alexander
title: Existence of smooth shock profiles for hyperbolic systems with relaxation
title_de: Existenz von Schockprofilen fuer hyperbolische Systeme mit Relaxation
ispublished: pub
subjects: 510
divisions: 110400
adv_faculty: af-11
keywords: hyperbolic systems , relaxation , bifurcation
cterms_swd: Hyperbolische Differentialgleichung
cterms_swd: Relaxation
cterms_swd: Verzweigung <Mathematik>
abstract: 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.
abstract_translated_lang: eng
class_scheme: msc
class_labels: 35L67
date: 2005
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00005865
ppn_swb: 1644215152
own_urn: urn:nbn:de:bsz:16-opus-58651
date_accepted: 2005-10-25
advisor: HASH(0x556120a97fa8)
language: ger
bibsort: DRESSELALEEXISTENCEO2005
full_text_status: public
citation:   Dressel, Alexander  (2005) Existence of smooth shock profiles for hyperbolic systems with relaxation.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/5865/1/diss.pdf