(Non-) Exponential stability for a transmission problem in viscoelasticity
- Date
- May 11, 2017
- Time
- 3:00 PM - 4:00 PM
- Speaker
- Prof. Dr. Reinhard Racke
- Series
- TUD Mathematik Oberseminar Analysis
- Language
- en
- Main Topic
- Mathematik
- Other Topics
- Mathematik
- Host
- Universität Konstanz
- Description
- 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
Last modified: May 4, 2017, 11:15:16 AM
Location
TUD Willers-Bau (WIL C 129)Zellescher Weg12-1401069Dresden
- Homepage
- https://navigator.tu-dresden.de/etplan/wil/00
Organizer
TUD MathematikWillersbau, Zellescher Weg12-1401069Dresden
- Phone
- 49-351-463 33376
- Homepage
- http://tu-dresden.de/mathematik
Scan this code with your smartphone and get directly this event in your calendar. Increase the image size by clicking on the QR-Code if you have problems to scan it.
Legend
- Biology
- Chemistry
- Civil Eng., Architecture
- Computer Science
- Economics
- Electrical and Computer Eng.
- Environmental Sciences
- for Pupils
- Law
- Linguistics, Literature and Culture
- Materials
- Mathematics
- Mechanical Engineering
- Medicine
- Physics
- Psychology
- Society, Philosophy, Education
- Spin-off/Transfer
- Traffic
- Training
- Welcome