Stability of abstract thermoelastic systems with inertial terms
Lade...
Dateien
Zu diesem Dokument gibt es keine Dateien.
Datum
2019
Autor:innen
Herausgeber:innen
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
DOI (zitierfähiger Link)
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Sammlungen
Core Facility der Universität Konstanz
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
Zitieren
ISO 690
FERNÁNDEZ 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.2019.07.015BibTex
@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
Prüfungsdatum der Dissertation
Finanzierungsart
Kommentar zur Publikation
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Ja
