## Rate of Stability in Hyperbolic Thermoelasticity

2006
Irmscher, Tilman
##### Series
Konstanzer Schriften in Mathematik und Informatik; 214
Preprint
##### Abstract
In this paper we consider the system of hyperbolic thermoelasticity in one dimension with Dirichlet-Neumann boundary conditions. First, the roots of the characteristic polynomial are investigated analytically applying appropriate scalings. Then we prove the exponential decay of the associated energy and describe the optimal rate of stability. Finally, we turn to the system of classical thermoelasticity. There we use the same energy as for the previous system to derive an analogous result.
##### Subject (DDC)
004 Computer Science
##### Cite This
ISO 690IRMSCHER, Tilman, 2006. Rate of Stability in Hyperbolic Thermoelasticity
BibTex
@unpublished{Irmscher2006Stabi-6189,
year={2006},
title={Rate of Stability in Hyperbolic Thermoelasticity},
author={Irmscher, Tilman}
}

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#" >
<bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/6189"/>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
<dcterms:title>Rate of Stability in Hyperbolic Thermoelasticity</dcterms:title>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:10:04Z</dc:date>
<dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
<dc:contributor>Irmscher, Tilman</dc:contributor>
<dc:language>eng</dc:language>
<dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/6189/1/preprint_214.pdf"/>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:10:04Z</dcterms:available>
<dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/6189/1/preprint_214.pdf"/>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
<dcterms:issued>2006</dcterms:issued>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dcterms:abstract xml:lang="eng">In this paper we consider the system of hyperbolic thermoelasticity in one dimension with Dirichlet-Neumann boundary conditions. First, the roots of the characteristic polynomial are investigated analytically applying appropriate scalings. Then we prove the exponential decay of the associated energy and describe the optimal rate of stability. Finally, we turn to the system of classical thermoelasticity. There we use the same energy as for the previous system to derive an analogous result.</dcterms:abstract>
<dc:format>application/pdf</dc:format>
<dc:rights>terms-of-use</dc:rights>
<dc:creator>Irmscher, Tilman</dc:creator>
</rdf:Description>
</rdf:RDF>