Stability of abstract thermoelastic systems with inertial terms

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FERNÁNDEZ SARE, Hugo D., Zhuangyi LIU, Reinhard RACKE, 2019. Stability of abstract thermoelastic systems with inertial terms. In: Journal of Differential Equations. 267(12), pp. 7085-7134. ISSN 0022-0396. eISSN 1090-2732. Available under: doi: 10.1016/j.jde.2019.07.015

@article{FernandezSare2019Stabi-42217.2, title={Stability of abstract thermoelastic systems with inertial terms}, year={2019}, doi={10.1016/j.jde.2019.07.015}, number={12}, volume={267}, issn={0022-0396}, journal={Journal of Differential Equations}, pages={7085--7134}, author={Fernández Sare, Hugo D. and Liu, Zhuangyi and Racke, Reinhard} }

<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:available rdf:datatype="">2019-10-17T11:59:11Z</dcterms:available> <dcterms:title>Stability of abstract thermoelastic systems with inertial terms</dcterms:title> <dc:contributor>Racke, Reinhard</dc:contributor> <dcterms:issued>2019</dcterms:issued> <dc:creator>Racke, Reinhard</dc:creator> <dcterms:isPartOf rdf:resource=""/> <dc:creator>Liu, Zhuangyi</dc:creator> <dc:rights>terms-of-use</dc:rights> <dcterms:abstract xml:lang="eng">We investigate coupled systems of thermoelastic type in a general abstract form both modeling Fourier and Cattaneo type heat conduction. In particular we take into account a possible inertial term. A complete picture of the regions of exponential stability resp. non-exponential stability for the arising parameters (two from the type of thermoelastic system, one from the inertial term) is given. The regions of loss of exponential stability, while moving from the Fourier to the Cattaneo law, are thus clearly recognized and interestingly large. The polynomial stability in regions of non-exponential stability is also characterized.</dcterms:abstract> <dc:date rdf:datatype="">2019-10-17T11:59:11Z</dc:date> <dc:language>eng</dc:language> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:contributor>Liu, Zhuangyi</dc:contributor> <dc:creator>Fernández Sare, Hugo D.</dc:creator> <dspace:isPartOfCollection rdf:resource=""/> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dc:contributor>Fernández Sare, Hugo D.</dc:contributor> </rdf:Description> </rdf:RDF>

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