Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2022 / Cilt: 71 - Sayı: 1
EXPONENTIAL STABILITY OF A TIMOSHENKO TYPE THERMOELASTIC SYSTEM WITH GURTIN-PIPKIN THERMAL LAW AND FRICTIONAL DAMPING
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 95–115
- DOI
- —
Abstract
In this paper we consider a linear thermoelastic system of Timoshenko type where the heat conduction is given by the linearized law of GurtinPipkin. 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.