The purpose of the dissertation is to study the properties of solutions to Cauchy problems for a number of well-recognized thermoelasticity models for homogeneous, isotropic media in 1D but also in 3D with and without special terms of lower order. The problems are first put into a more general frame. For the obtained initial value problem a special diagonalization procedure is applied, and under a naturally appearing hierarchy of conditions solution representations are derived that allow to easily read of structural properties of solutions. In detail well-posedness results, results on decay estimates, on diffusive structures and on the propagation of singularities are discussed.
| Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa.de:bsz:105-249849 |
| Date | 27 July 2009 |
| Creators | Jachmann, Kay |
| Contributors | TU Bergakademie Freiberg, Mathematik und Informatik, Prof. Dr. Michael Reissig, Prof. Dr. Yaguang Wang, Prof. Dr. Michael Reissig, Prof. Dr. Yaguang Wang, Prof. Dr. Rainer Picard |
| Publisher | Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola" |
| Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
| Language | English |
| Detected Language | English |
| Type | doc-type:doctoralThesis |
| Format | application/pdf |
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