The Cauchy Problem for Thermoelastic Plates with Two Temperatures

Cite This

Files in this item

Files Size Format View

There are no files associated with this item.

RACKE, Reinhard, Yoshihiro UEDA, 2020. The Cauchy Problem for Thermoelastic Plates with Two Temperatures. In: Zeitschrift für Analysis und ihre Anwendungen. European Mathematical Society (EMS). 39(1), pp. 103-129. ISSN 0232-2064. eISSN 1661-4534. Available under: doi: 10.4171/ZAA/1653

@article{Racke2020Cauch-45403.2, title={The Cauchy Problem for Thermoelastic Plates with Two Temperatures}, year={2020}, doi={10.4171/ZAA/1653}, number={1}, volume={39}, issn={0232-2064}, journal={Zeitschrift für Analysis und ihre Anwendungen}, pages={103--129}, author={Racke, Reinhard and Ueda, Yoshihiro} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <bibo:uri rdf:resource=""/> <dcterms:abstract xml:lang="eng">We consider the decay rates of solutions to thermoelastic systems in materials where, in contrast to classical thermoelastic models for Kirchhoff type plates, two temperatures are involved, related by an elliptic equation. The arising initial value problems deal with systems of partial differential equations involving Schr ödinger like equations, hyperbolic and elliptic equations. Depending on the model – with Fourier or with Cattaneo type heat conduction – we obtain polynomial decay rates without or with regularity loss. This way we obtain another example where the loss of regularity in the Cauchy problem corresponds to the loss of exponential stability in bounded domains. The well-posedness is done using semigroup theory in appropriate space reflecting the different regularity compared to the classical single temperature case, and the (optimal) decay estimates are obtained with sophisticated pointwise estimates in Fourier space.</dcterms:abstract> <dcterms:rights rdf:resource=""/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:date rdf:datatype="">2020-07-30T13:04:52Z</dc:date> <dc:language>eng</dc:language> <dc:contributor>Racke, Reinhard</dc:contributor> <dcterms:title>The Cauchy Problem for Thermoelastic Plates with Two Temperatures</dcterms:title> <dc:creator>Ueda, Yoshihiro</dc:creator> <dspace:isPartOfCollection rdf:resource=""/> <dc:contributor>Ueda, Yoshihiro</dc:contributor> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dc:creator>Racke, Reinhard</dc:creator> <dcterms:available rdf:datatype="">2020-07-30T13:04:52Z</dcterms:available> <dc:rights>terms-of-use</dc:rights> <dcterms:issued>2020</dcterms:issued> <dcterms:isPartOf rdf:resource=""/> </rdf:Description> </rdf:RDF>

This item appears in the following Collection(s)

Version History

Version Item Date Summary Publication Version

*Selected version

Search KOPS


My Account