Publikation:

Stability of abstract thermoelastic systems with inertial terms

Vorschaubild

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2019

Autor:innen

Fernández Sare, Hugo D.
Liu, Zhuangyi

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

URI (zitierfähiger Link)
DOI (zitierfähiger Link)
https://doi.org/10.1016/j.jde.2019.07.015
ArXiv-ID

Internationale Patentnummer

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung

Sammlungen

Mathematik und Statistik: Publikationen
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published

Erschienen in

Journal of Differential Equations. 2019, 267(12), pp. 7085-7134. ISSN 0022-0396. eISSN 1090-2732. Available under: doi: 10.1016/j.jde.2019.07.015

Zusammenfassung

We investigate coupled systems of thermoelastic type in a general abstract form both modeling Fourier and Cattaneo type heat conduction. In particular we take into account a possible inertial term. A complete picture of the regions of exponential stability resp. non-exponential stability for the arising parameters (two from the type of thermoelastic system, one from the inertial term) is given. The regions of loss of exponential stability, while moving from the Fourier to the Cattaneo law, are thus clearly recognized and interestingly large. The polynomial stability in regions of non-exponential stability is also characterized.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Exponential stability, Polynomial stability, Fourier law of heat conduction, Cattaneo law of heat conduction, Inertial term, General parameter system

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690FERNÁNDEZ SARE, Hugo D., Zhuangyi LIU, Reinhard RACKE, 2019. Stability of abstract thermoelastic systems with inertial terms. In: Journal of Differential Equations. 2019, 267(12), pp. 7085-7134. ISSN 0022-0396. eISSN 1090-2732. Available under: doi: 10.1016/j.jde.2019.07.015
BibTex
@article{FernandezSare2019Stabi-42217.2,
  year={2019},
  doi={10.1016/j.jde.2019.07.015},
  title={Stability of abstract thermoelastic systems with inertial terms},
  number={12},
  volume={267},
  issn={0022-0396},
  journal={Journal of Differential Equations},
  pages={7085--7134},
  author={Fernández Sare, Hugo D. and Liu, Zhuangyi and 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/123456789/42217.2">
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/42217.2"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:abstract xml:lang="eng">We investigate coupled systems of thermoelastic type in a general abstract form both modeling Fourier and Cattaneo type heat conduction. In particular we take into account a possible inertial term. A complete picture of the regions of exponential stability resp. non-exponential stability for the arising parameters (two from the type of thermoelastic system, one from the inertial term) is given. The regions of loss of exponential stability, while moving from the Fourier to the Cattaneo law, are thus clearly recognized and interestingly large. The polynomial stability in regions of non-exponential stability is also characterized.</dcterms:abstract>
    <dc:contributor>Fernández Sare, Hugo D.</dc:contributor>
    <dc:creator>Fernández Sare, Hugo D.</dc:creator>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2019-10-17T11:59:11Z</dc:date>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:title>Stability of abstract thermoelastic systems with inertial terms</dcterms:title>
    <dc:contributor>Liu, Zhuangyi</dc:contributor>
    <dc:language>eng</dc:language>
    <dcterms:issued>2019</dcterms:issued>
    <dc:rights>terms-of-use</dc:rights>
    <dc:contributor>Racke, Reinhard</dc:contributor>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2019-10-17T11:59:11Z</dcterms:available>
    <dc:creator>Racke, Reinhard</dc:creator>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:creator>Liu, Zhuangyi</dc:creator>
  </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
Ja
Diese Publikation teilen

Versionsgeschichte

Gerade angezeigt 1 - 2 von 2
VersionDatumZusammenfassung
2*
 2019-10-17 11:51:08
1
 2018-05-02 06:59:14
* Ausgewählte Version