Spatial behavior in phase-lag heat conduction

Cite This

Files in this item

Checksum: MD5:8715ed3b220f2190fc9a27b6ea663f2c

QUINTANILLA, Ramón, Reinhard RACKE, 2013. Spatial behavior in phase-lag heat conduction

@techreport{Quintanilla2013Spati-25609, series={Konstanzer Schriften in Mathematik}, title={Spatial behavior in phase-lag heat conduction}, year={2013}, number={325}, author={Quintanilla, Ramón and Racke, Reinhard} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dcterms:abstract xml:lang="eng">In this paper we study the spatial behavior of solutions to the equations obtained by taking formal Taylor approximations to the heat conduction dual-phase-lag and three-phase-lag theories, reflecting Saint-Venant's principle. Depending on the relative order of derivation with respect to the time we propose different arguments. One is inspired by the arguments for parabolic problems and the other one is inspired by the arguments for hyperbolic problems. In the first case we obtain a Phragmén-Lindelöf alternative for the solutions, and in the second case we obtain an estimate for the decay as well as a domain of influence result. The main tool to manage these problems is the use of an exponentially weighted Poincaré inequality.</dcterms:abstract> <dc:contributor>Racke, Reinhard</dc:contributor> <dcterms:title>Spatial behavior in phase-lag heat conduction</dcterms:title> <dc:date rdf:datatype="">2013-12-20T09:08:55Z</dc:date> <dc:creator>Quintanilla, Ramón</dc:creator> <dc:language>eng</dc:language> <dcterms:rights rdf:resource=""/> <dspace:isPartOfCollection rdf:resource=""/> <dc:contributor>Quintanilla, Ramón</dc:contributor> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:issued>2013</dcterms:issued> <dc:creator>Racke, Reinhard</dc:creator> <dcterms:available rdf:datatype="">2013-12-20T09:08:55Z</dcterms:available> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dspace:hasBitstream rdf:resource=""/> <bibo:uri rdf:resource=""/> <dcterms:hasPart rdf:resource=""/> <dcterms:isPartOf rdf:resource=""/> <dc:rights>terms-of-use</dc:rights> </rdf:Description> </rdf:RDF>

Downloads since Oct 1, 2014 (Information about access statistics)

Quintanilla_256099.pdf 283

This item appears in the following Collection(s)

Search KOPS


My Account