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arXiv · 1811.01128

Nonlinear Damped Timoshenko Systems with Second Sound - Global Existence and Exponential Stability

Salim A. Messaoudi·Michael Pokojovy·Belkacem Said-Houari
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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.

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Salim A. Messaoudi, Michael Pokojovy, Belkacem Said-Houari. 2018-11-02. Nonlinear Damped Timoshenko Systems with Second Sound - Global Existence and Exponential Stability. https://doi.org/10.1002/mma.1049

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