Asymptotic behavior of solutions in linear 2- or 3-d thermoelasticity with second sound

Racke, Reinhard

Asymptotic behavior of solutions in linear 2- or 3-d thermoelasticity with second sound

Dateien

preprint_144.pdf(232.45 KB)

Datum

2001

Autor:innen

Racke, Reinhard

Schriftenreihe

Konstanzer Schriften in Mathematik und Informatik; 144

URI (zitierfähiger Link)

urn:nbn:de:bsz:352-opus-21703

Link zur Lizenz

Urheberrechtlich geschützt

Projekt

Thermoelastische Evolutionsgleichungen

Sammlungen

Mathematik und Statistik

Publikationstyp

Preprint

Zusammenfassung

We consider thermoelastic systems in two or three space dimensions where thermal disturbances are modeled popagating as wavelike pulses traveling at finite speed. This is done using Cattaneo's law for heat conduction instead of Fourier's law. For Dirichlet type boundary conditions, the exponential stability of the now purely, but slightly damped, hyperbolic system is proved in the radially symmetric case.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

RACKE, Reinhard, 2001. Asymptotic behavior of solutions in linear 2- or 3-d thermoelasticity with second sound

BibTex

@unpublished{Racke2001Asymp-683,
  year={2001},
  title={Asymptotic behavior of solutions in linear 2- or 3-d thermoelasticity with second sound},
  author={Racke, Reinhard}
}

RDF

<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/server/rdf/resource/123456789/683">
    <dcterms:abstract xml:lang="eng">We consider thermoelastic systems in two or three space dimensions where thermal disturbances are modeled popagating as wavelike pulses traveling at finite speed. This is done using Cattaneo's law for heat conduction instead of Fourier's law. For Dirichlet type boundary conditions, the exponential stability of the now purely, but slightly damped, hyperbolic system is proved in the radially symmetric case.</dcterms:abstract>
    <dc:rights>terms-of-use</dc:rights>
    <dcterms:title>Asymptotic behavior of solutions in linear 2- or 3-d thermoelasticity with second sound</dcterms:title>
    <dc:language>eng</dc:language>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:creator>Racke, Reinhard</dc:creator>
    <dc:format>application/pdf</dc:format>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/683"/>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/683/1/preprint_144.pdf"/>
    <dcterms:issued>2001</dcterms:issued>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:29Z</dcterms:available>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:29Z</dc:date>
    <dc:contributor>Racke, Reinhard</dc:contributor>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/683/1/preprint_144.pdf"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
  </rdf:Description>
</rdf:RDF>

Universitätsbibliographie

Nein