(Non-) Exponential stability for a transmission problem in viscoelasticity

Datum

11.05.2017

Zeit

15:00 - 16:00

Sprecher

Prof. Dr. Reinhard Racke

Serie

TUD Mathematik Oberseminar Analysis

Sprache

en

Hauptthema

Mathematik

Andere Themen

Mathematik

Host

Universität Konstanz

Beschreibung

Transmission problems between a (thermo-)viscoelastic system with Kelvin-Voigt damping and a purely elastic system are considered. It is shown that neither the elastic damping by Kelvin-Voigt mechanisms nor the dissipative effect of the temperature in one material can assure the exponential stability of the total system when it is coupled through transmission to a purely elastic system. The approach shows the lack of exponential stability using Weyl's theorem on perturbations of the essential spectrum. Instead, strong stability can be shown using the principle of unique continuation. To prove polynomial stability we use a slightly extended version of the characterization by Borichev and Tomilov.

Links

• Oberseminar Analysis

Letztmalig verändert: 04.05.2017, 11:15:16