Nonlinear Damped Timoshenko Systems with Second Sound - Global Existence and Exponential Stability
arXiv:1811.01128 · doi:10.1002/mma.1049
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.
23 pages