Publikation:

On a Class of Nonlinear Viscoelastic Kirchhoff Plates : Well-Posedness and General Decay Rates

Vorschaubild

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2016

Autor:innen

Silva, M. A. Jorge
Rivera, J. E. Muñoz

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

URI (zitierfähiger Link)
DOI (zitierfähiger Link)
https://doi.org/10.1007/s00245-015-9298-0
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

Applied Mathematics & Optimization. 2016, 73(1), pp. 165-194. ISSN 0095-4616. eISSN 1432-0606. Available under: doi: 10.1007/s00245-015-9298-0

Zusammenfassung

This paper is concerned with well-posedness and energy decay rates to a class of nonlinear viscoelastic Kirchhoff plates. The problem corresponds to a class of fourth order viscoelastic equations of p-Laplacian type which is not locally Lipschitz. The only damping effect is given by the memory component. We show that no additional damping is needed to obtain uniqueness in the presence of rotational forces. Then, we show that the general rates of energy decay are similar to ones given by the memory kernel, but generally not with the same speed, mainly when we consider the nonlinear problem with large initial data.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690SILVA, M. A. Jorge, J. E. Muñoz RIVERA, Reinhard RACKE, 2016. On a Class of Nonlinear Viscoelastic Kirchhoff Plates : Well-Posedness and General Decay Rates. In: Applied Mathematics & Optimization. 2016, 73(1), pp. 165-194. ISSN 0095-4616. eISSN 1432-0606. Available under: doi: 10.1007/s00245-015-9298-0
BibTex
@article{Silva2016Class-33954,
  year={2016},
  doi={10.1007/s00245-015-9298-0},
  title={On a Class of Nonlinear Viscoelastic Kirchhoff Plates : Well-Posedness and General Decay Rates},
  number={1},
  volume={73},
  issn={0095-4616},
  journal={Applied Mathematics & Optimization},
  pages={165--194},
  author={Silva, M. A. Jorge and Rivera, J. E. Muñoz 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/123456789/33954">
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-05-18T07:13:12Z</dc:date>
    <dc:contributor>Racke, Reinhard</dc:contributor>
    <dcterms:abstract xml:lang="eng">This paper is concerned with well-posedness and energy decay rates to a class of nonlinear viscoelastic Kirchhoff plates. The problem corresponds to a class of fourth order viscoelastic equations of p-Laplacian type which is not locally Lipschitz. The only damping effect is given by the memory component. We show that no additional damping is needed to obtain uniqueness in the presence of rotational forces. Then, we show that the general rates of energy decay are similar to ones given by the memory kernel, but generally not with the same speed, mainly when we consider the nonlinear problem with large initial data.</dcterms:abstract>
    <dcterms:issued>2016</dcterms:issued>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-05-18T07:13:12Z</dcterms:available>
    <dc:creator>Rivera, J. E. Muñoz</dc:creator>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:language>eng</dc:language>
    <dc:contributor>Rivera, J. E. Muñoz</dc:contributor>
    <dc:creator>Silva, M. A. Jorge</dc:creator>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dcterms:title>On a Class of Nonlinear Viscoelastic Kirchhoff Plates : Well-Posedness and General Decay Rates</dcterms:title>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/33954"/>
    <dc:contributor>Silva, M. A. Jorge</dc:contributor>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:creator>Racke, Reinhard</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
Diese Publikation teilen