Publikation: On a class of nonlinear viscoelastic Kirchhoff plates : well-posedness and general decay rates
Lade...
Dateien
Datum
2014
Autor:innen
Herausgeber:innen
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
URI (zitierfähiger Link)
Internationale Patentnummer
Link zur Lizenz
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Open Access Green
Sammlungen
Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
Publikationstyp
Working Paper/Technical Report
Publikationsstatus
Published
Erschienen in
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 with a non-locally Lipschitz perturbation of $p$-Laplacian type. 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
Zitieren
ISO 690
JORGE SILVA, Marcio A., Jaime E. MUNOZ RIVERA, Reinhard RACKE, 2014. On a class of nonlinear viscoelastic Kirchhoff plates : well-posedness and general decay ratesBibTex
@techreport{JorgeSilva2014class-29230,
year={2014},
series={Konstanzer Schriften in Mathematik},
title={On a class of nonlinear viscoelastic Kirchhoff plates : well-posedness and general decay rates},
number={331},
author={Jorge Silva, Marcio A. and Munoz Rivera, Jaime E. 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/123456789/29230">
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dc:creator>Munoz Rivera, Jaime E.</dc:creator>
<dc:language>eng</dc:language>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/29230/6/Silva-0-257987.pdf"/>
<dcterms:issued>2014</dcterms:issued>
<dc:contributor>Munoz Rivera, Jaime E.</dc:contributor>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dc:rights>terms-of-use</dc:rights>
<dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
<dc:contributor>Racke, Reinhard</dc:contributor>
<dc:creator>Racke, Reinhard</dc:creator>
<bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/29230"/>
<dc:creator>Jorge Silva, Marcio A.</dc:creator>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2014-11-10T13:20:02Z</dc:date>
<dcterms:title>On a class of nonlinear viscoelastic Kirchhoff plates : well-posedness and general decay rates</dcterms:title>
<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 with a non-locally Lipschitz perturbation of $p$-Laplacian type. 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:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2014-11-10T13:20:02Z</dcterms:available>
<dc:contributor>Jorge Silva, Marcio A.</dc:contributor>
<dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/29230/6/Silva-0-257987.pdf"/>
</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
