Dual-Phase-Lag Thermoelastizität

Weinmann, Olaf

Dual-Phase-Lag Thermoelastizität

Files

Diss_Weinmann.pdf(674.77 KB)

Date

2009

Title in another language

Dual-Phase-Lag Thermoelasticity

Publication type

Dissertation

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.

Summary in another language

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.

Subject (DDC)

510 Mathematics

Keywords

Thermoelasticity,Hyperbolic Differential Equation,Partial Differential Equation

Cite This

ISO 690

WEINMANN, Olaf, 2009. Dual-Phase-Lag Thermoelastizität [Dissertation]. Konstanz: University of Konstanz

BibTex

@phdthesis{Weinmann2009DualP-682,
  year={2009},
  title={Dual-Phase-Lag Thermoelastizität},
  author={Weinmann, Olaf},
  address={Konstanz},
  school={Universität Konstanz}
}

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Examination date of dissertation

December 15, 2009