Dual-Phase-Lag Thermoelastizität
| dc.contributor.author | Weinmann, Olaf | |
| dc.date.accessioned | 2011-03-22T17:45:29Z | deu |
| dc.date.available | 2011-03-22T17:45:29Z | deu |
| dc.date.issued | 2009 | deu |
| dc.description.abstract | In the first part, we prove an existence theorem for hyperbolic equations of thermoelasticity with time-dependent coefficients and mixed Dirichlet-Neumann boundary conditions in IR³. In the second part, we examine equations of thermoelasticity with "dual-phase-lag" and prove existence results for a certain class of models. In the third part, energies associated with these models are compared with the one arising in classical thermoelasticity. Finally, exponential stability of solutions to a nonlinear thermoelastic model is proved. | eng |
| dc.description.version | published | |
| dc.format.mimetype | application/pdf | deu |
| dc.identifier.ppn | 314913610 | deu |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/682 | |
| dc.language.iso | deu | deu |
| dc.legacy.dateIssued | 2010 | deu |
| dc.rights | Attribution-NonCommercial-NoDerivs 2.0 Generic | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.0/ | |
| dc.subject | Thermoelasticity | deu |
| dc.subject | Hyperbolic Differential Equation | deu |
| dc.subject | Partial Differential Equation | deu |
| dc.subject.ddc | 510 | deu |
| dc.subject.gnd | Thermoelastizität | deu |
| dc.subject.gnd | Hyperbolische Differentialgleichung | deu |
| dc.subject.gnd | Randwertproblem | deu |
| dc.subject.gnd | Partielle Differentialgleichung | deu |
| dc.title | Dual-Phase-Lag Thermoelastizität | deu |
| dc.title.alternative | Dual-Phase-Lag Thermoelasticity | eng |
| dc.type | DOCTORAL_THESIS | deu |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @phdthesis{Weinmann2009DualP-682,
year={2009},
title={Dual-Phase-Lag Thermoelastizität},
author={Weinmann, Olaf},
address={Konstanz},
school={Universität Konstanz}
} | |
| kops.citation.iso690 | WEINMANN, Olaf, 2009. Dual-Phase-Lag Thermoelastizität [Dissertation]. Konstanz: University of Konstanz | deu |
| kops.citation.iso690 | WEINMANN, Olaf, 2009. Dual-Phase-Lag Thermoelastizität [Dissertation]. Konstanz: University of Konstanz | eng |
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| kops.date.examination | 2009-12-15 | deu |
| kops.description.abstract | Im ersten Teil wird ein Existenzsatz für hyperbolische Thermoelastizitätsgleichungen mit zeitabhängigen Koeffizienten im IR³ und gemischten Dirichlet-Neumann Randbedingungen bewiesen. Im zweiten Teil werden die Gleichungen der Thermoelastizität mit "Dual-Phase-Lag" untersucht, was wiederum zu Existenzsäten für verschiedene Modelle führt. Die diesen Modellen zugeordneten Energien werden daraufhin im dritten Teil mit der Energie, welche der klassischen Thermoelastizität zugeordnet ist, verglichen. Abschließend wird die Exponentielle Stabilität eines nichtlinearen thermoelastischen Modells bewiesen. | deu |
| kops.description.openAccess | openaccessgreen | |
| kops.identifier.nbn | urn:nbn:de:bsz:352-opus-100358 | deu |
| kops.opus.id | 10035 | deu |
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