Article
Exponential stability of a Timoshenko type thermoelastic system with Gurtin-Pipkin thermal law and frictional damping
Abstract
In this paper we consider a linear thermoelastic system of Timoshenko type where the heat conduction is given by the linearized law of Gurtin-Pipkin. An existence and uniqueness result is proved by the use of a semigroup approach. We establish an exponential stability result without any assumption on the wave speeds once here we have a fully damped system.
Details
| Original language | English |
|---|---|
| Journal | Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics |
| Volume | 71 |
| Issue number | 1 |
| Pages | 95-115 |
| Publisher | Ankara University |
| ISSN | 1303-5991 |
| DOI | 10.31801/cfsuasmas.847038 |
| Publication status | Published — 12 February 2022 |
Keywords
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- Stability and Controllability of Differential Equations
- Thermoelastic and Magnetoelastic Phenomena
- Vibration and Dynamic Analysis
- Timoshenko system
- thermoelasticity
- friction damping
- exponential stability
- existence and uniqueness of solutions
- semigroup approach
- wave velocity
- Control and Systems Engineering
- Mechanics of Materials
- Engineering