Decay estimates for the Cauchy problem for the damped extensible beam equation

Racke, Reinhard; Yoshikawa, Shuji

Decay estimates for the Cauchy problem for the damped extensible beam equation

Dateien

Racke_0-279949.pdf(481.91 KB)

Datum

2015

Autor:innen

Racke, Reinhard

Yoshikawa, Shuji

Schriftenreihe

Konstanzer Schriften in Mathematik; 335

Publikationstyp

Working Paper/Technical Report

Zusammenfassung

The extensible beam equation proposed by Woinovsky-Krieger is a fourth order dispersive equation with nonlocal nonlinear terms. In this paper we study the Cauchy problem of the extended model by Ball who proposed the model with external and structural damping terms. This includes a Kelvin-Voigt damping. We show the unique global existence of solution for this problem and give a precise description of the decay of solutions in time.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

RACKE, Reinhard, Shuji YOSHIKAWA, 2015. Decay estimates for the Cauchy problem for the damped extensible beam equation

BibTex

@techreport{Racke2015Decay-30730,
  year={2015},
  series={Konstanzer Schriften in Mathematik},
  title={Decay estimates for the Cauchy problem for the damped extensible beam equation},
  number={335},
  author={Racke, Reinhard and Yoshikawa, Shuji}
}

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/123456789/30730">
    <dc:contributor>Yoshikawa, Shuji</dc:contributor>
    <dc:rights>terms-of-use</dc:rights>
    <dc:creator>Yoshikawa, Shuji</dc:creator>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/30730/3/Racke_0-279949.pdf"/>
    <dc:creator>Racke, Reinhard</dc:creator>
    <dcterms:abstract xml:lang="eng">The extensible beam equation proposed by Woinovsky-Krieger is a fourth order dispersive equation with nonlocal nonlinear terms. In this paper we study the Cauchy problem of the extended model by Ball who proposed the model with external and structural damping terms. This includes a Kelvin-Voigt damping. We show the unique global existence of solution for this problem and give a precise description of the decay of solutions in time.</dcterms:abstract>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-04-14T08:45:48Z</dc:date>
    <dc:contributor>Racke, Reinhard</dc:contributor>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-04-14T08:45:48Z</dcterms:available>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/30730/3/Racke_0-279949.pdf"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:issued>2015</dcterms:issued>
    <dcterms:title>Decay estimates for the Cauchy problem for the damped extensible beam equation</dcterms:title>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/30730"/>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:language>eng</dc:language>
  </rdf:Description>
</rdf:RDF>

Universitätsbibliographie

Ja