Nonlinear Damped Timoshenko Systems with Second Sound - Global Existence and Exponential Stability
Analysis of PDEs
2018-11-06 v1
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.
Cite
@article{arxiv.1811.01128,
title = {Nonlinear Damped Timoshenko Systems with Second Sound - Global Existence and Exponential Stability},
author = {Salim A. Messaoudi and Michael Pokojovy and Belkacem Said-Houari},
journal= {arXiv preprint arXiv:1811.01128},
year = {2018}
}
Comments
23 pages