Aufgrund von Vorbereitungen auf eine neue Version von KOPS, können derzeit keine Publikationen eingereicht werden. (Due to preparations for a new version of KOPS, no publications can be submitted currently.)
Type of Publication: | Journal article |
Publication status: | Published |
Author: | Borgmeyer, Karin; Quintanilla, Ramón; Racke, Reinhard |
Year of publication: | 2014 |
Published in: | Journal of Evolution Equations ; 14 (2014), 4-5. - pp. 863-884. - ISSN 1424-3199. - eISSN 1424-3202 |
DOI (citable link): | https://dx.doi.org/10.1007/s00028-014-0242-6 |
Summary: |
In two recent papers, the authors have studied conditions on the relaxation parameters in order to guarantee the stability or instability of solutions for the Taylor approximations to dual-phase-lag and three-phase-lag heat conduction equations. However, for several limit cases relating to the parameters, the kind of stability was unclear. Here, we analyze these limit cases and clarify whether we can expect exponential or slow decay for the solutions. Moreover, rather general well-posedness results for three-phase-lag models are presented. Finally, the exponential stability expected by spectral analysis is rigorously proved exemplarily.
|
Subject (DDC): | 510 Mathematics |
Bibliography of Konstanz: | Yes |
Files | Size | Format | View |
---|---|---|---|
There are no files associated with this item. |
BORGMEYER, Karin, Ramón QUINTANILLA, Reinhard RACKE, 2014. Phase-lag heat conduction : decay rates for limit problems and well-posedness. In: Journal of Evolution Equations. 14(4-5), pp. 863-884. ISSN 1424-3199. eISSN 1424-3202. Available under: doi: 10.1007/s00028-014-0242-6
@article{Borgmeyer2014-12Phase-41687, title={Phase-lag heat conduction : decay rates for limit problems and well-posedness}, year={2014}, doi={10.1007/s00028-014-0242-6}, number={4-5}, volume={14}, issn={1424-3199}, journal={Journal of Evolution Equations}, pages={863--884}, author={Borgmeyer, Karin and Quintanilla, Ramón and Racke, Reinhard} }
<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/41687"> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/41687"/> <dc:language>eng</dc:language> <dc:creator>Borgmeyer, Karin</dc:creator> <dc:contributor>Racke, Reinhard</dc:contributor> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-03-05T10:32:35Z</dc:date> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dc:contributor>Borgmeyer, Karin</dc:contributor> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-03-05T10:32:35Z</dcterms:available> <dc:creator>Racke, Reinhard</dc:creator> <dc:contributor>Quintanilla, Ramón</dc:contributor> <dcterms:issued>2014-12</dcterms:issued> <dcterms:title>Phase-lag heat conduction : decay rates for limit problems and well-posedness</dcterms:title> <dcterms:abstract xml:lang="eng">In two recent papers, the authors have studied conditions on the relaxation parameters in order to guarantee the stability or instability of solutions for the Taylor approximations to dual-phase-lag and three-phase-lag heat conduction equations. However, for several limit cases relating to the parameters, the kind of stability was unclear. Here, we analyze these limit cases and clarify whether we can expect exponential or slow decay for the solutions. Moreover, rather general well-posedness results for three-phase-lag models are presented. Finally, the exponential stability expected by spectral analysis is rigorously proved exemplarily.</dcterms:abstract> <dc:creator>Quintanilla, Ramón</dc:creator> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> </rdf:Description> </rdf:RDF>