Instability of coupled systems with delay


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RACKE, Reinhard, 2011. Instability of coupled systems with delay

@techreport{Racke2011Insta-12346, series={Konstanzer Schriften in Mathematik}, title={Instability of coupled systems with delay}, year={2011}, number={276}, author={Racke, Reinhard} }

<rdf:RDF xmlns:rdf="" xmlns:bibo="" xmlns:dc="" xmlns:dcterms="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dcterms:abstract xml:lang="eng">We consider linear initial-boundary value problems that are a coupling like second-order thermoelasticity, or the thermoelastic plate equation or its generalization. Now, there is a delay term given in part of the coupled system, and we demonstrate that the expected inherent damping will not prevent the system from not being stable; indeed, the systems will shown to be ill-posed: a sequence of bounded initial data may lead to exploding solutions (at any fixed time).</dcterms:abstract> <bibo:uri rdf:resource=""/> <dc:contributor>Racke, Reinhard</dc:contributor> <dcterms:title>Instability of coupled systems with delay</dcterms:title> <dc:language>eng</dc:language> <dc:date rdf:datatype="">2011-03-25T15:19:31Z</dc:date> <dc:format>application/pdf</dc:format> <dcterms:rights rdf:resource=""/> <dc:creator>Racke, Reinhard</dc:creator> <dcterms:available rdf:datatype="">2011-03-25T15:19:31Z</dcterms:available> <dc:rights>deposit-license</dc:rights> <dcterms:issued>2011</dcterms:issued> </rdf:Description> </rdf:RDF>

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Mathematik276.pdf 133

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