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Nonlinear damped Timoshenko systems with second sound—Global existence and exponential stability

Year: 2008

Type: article

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.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.1049

Authors: Salim A. Messaoudi, Michael Pokojovy, Belkacem Said‐Houari

Institutions: King Fahd University of Petroleum and Minerals, University of Konstanz, Badji Mokhtar-Annaba University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2137726998

FWCI: 6.157

Cites: 22

Cited by: 80

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