Nonlinear damped Timoshenko systems with second sound : Global existence and exponential stability
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Mathematical Methods in the Applied Sciences. Wiley-Blackwell. 2009, 32(5), pp. 505-534. ISSN 0170-4214. eISSN 1099-1476. Available under: doi: 10.1002/mma.1049
Zusammenfassung
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.
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MESSAOUDI, Salim A., Michael POKOJOVY, Belkacem SAID-HOUARI, 2009. Nonlinear damped Timoshenko systems with second sound : Global existence and exponential stability. In: Mathematical Methods in the Applied Sciences. Wiley-Blackwell. 2009, 32(5), pp. 505-534. ISSN 0170-4214. eISSN 1099-1476. Available under: doi: 10.1002/mma.1049BibTex
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year={2009},
doi={10.1002/mma.1049},
title={Nonlinear damped Timoshenko systems with second sound : Global existence and exponential stability},
number={5},
volume={32},
issn={0170-4214},
journal={Mathematical Methods in the Applied Sciences},
pages={505--534},
author={Messaoudi, Salim A. and Pokojovy, Michael and Said-Houari, Belkacem}
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