✦ LIBER ✦
Nonlinear damped Timoshenko systems with second sound—Global existence and exponential stability
✍ Scribed by Salim A. Messaoudi; Michael Pokojovy; Belkacem Said-Houari
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 223 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1049
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✦ Synopsis
Abstract
In this paper, we consider nonlinear thermoelastic systems of Timoshenko type in a one‐dimensional bounded domain. The system has two dissipative mechanisms being present in the equation for transverse displacement and rotation angle—a frictional damping and a dissipation through hyperbolic heat conduction modelled by Cattaneo's law, respectively. The global existence of small, smooth solutions and the exponential stability in linear and nonlinear cases are established. Copyright © 2008 John Wiley & Sons, Ltd.