Publikation:

Global existence and decay properties for solutions of the Cauchy problem in one-dimensional thermoelasticity with second sound

Vorschaubild

Dateien

311 Asimov, Racke, Said-Houari.pdf
311 Asimov, Racke, Said-Houari.pdfGröße: 1018.08 KBDownloads: 169

Datum

2012

Autor:innen

Kasimov, Aslan

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

1430-3558

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

URI (zitierfähiger Link)
http://nbn-resolving.de/urn:nbn:de:bsz:352-209357
DOI (zitierfähiger Link)
ArXiv-ID

Internationale Patentnummer

Link zur Lizenz
Urheberrechtlich geschützt

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung
Open Access Green

Sammlungen

Mathematik und Statistik: Publikationen
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Working Paper/Technical Report
Publikationsstatus
Published

Erschienen in

Zusammenfassung

We consider the one-dimensional Cauchy problem in nonlinear thermoelasticity with second sound, where the heat conduction is modeled by Cattaneo's law. After presenting decay estimates for solutions to the linearized problem, including refined estimates for data in weighted Lebesgue-spaces, we prove a global existence theorem for small data together with improved decay estimates, in particular for derivatives of the solutions.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

thermoelasticity

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690KASIMOV, Aslan, Reinhard RACKE, Belkacem SAID-HOUARI, 2012. Global existence and decay properties for solutions of the Cauchy problem in one-dimensional thermoelasticity with second sound. ISSN 1430-3558
BibTex
@techreport{Kasimov2012Globa-20935,
  year={2012},
  series={Konstanzer Schriften in Mathematik},
  title={Global existence and decay properties for solutions of the Cauchy problem in one-dimensional thermoelasticity with second sound},
  number={311},
  author={Kasimov, Aslan and Racke, Reinhard and Said-Houari, Belkacem}
}
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/123456789/20935">
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:issued>2012</dcterms:issued>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:contributor>Racke, Reinhard</dc:contributor>
    <dc:contributor>Said-Houari, Belkacem</dc:contributor>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2012-12-03T09:34:31Z</dc:date>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2012-12-03T09:34:31Z</dcterms:available>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/20935/1/311%20Asimov%2c%20Racke%2c%20Said-Houari.pdf"/>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/20935/1/311%20Asimov%2c%20Racke%2c%20Said-Houari.pdf"/>
    <dc:creator>Said-Houari, Belkacem</dc:creator>
    <dc:contributor>Kasimov, Aslan</dc:contributor>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/20935"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:creator>Racke, Reinhard</dc:creator>
    <dcterms:title>Global existence and decay properties for solutions of the Cauchy problem in one-dimensional thermoelasticity with second sound</dcterms:title>
    <dc:creator>Kasimov, Aslan</dc:creator>
    <dc:language>eng</dc:language>
    <dcterms:abstract xml:lang="eng">We consider the one-dimensional Cauchy problem in nonlinear thermoelasticity with second sound, where the heat conduction is modeled by Cattaneo's law. After presenting decay estimates for solutions to the linearized problem, including refined estimates for data in weighted Lebesgue-spaces, we prove a global existence theorem for small data together with improved  decay estimates, in particular for derivatives of the solutions.</dcterms:abstract>
    <bibo:issn>1430-3558</bibo:issn>
    <dc:rights>terms-of-use</dc:rights>
  </rdf:Description>
</rdf:RDF>

Interner Vermerk

xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter

Kontakt
URL der Originalveröffentl.

Prüfdatum der URL

Prüfungsdatum der Dissertation

Finanzierungsart

Kommentar zur Publikation

Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Diese Publikation teilen