Exponential stability of thermoelastic Timoshenko system with Cattaneo’s law. (English) Zbl 1469.35026
Summary: In this paper, we consider a one dimensional thermoelastic Timoshenko system where the thermal coupling is acting on both the shear force and the bending moment, and the heat flux is given by Cattaneo’s law. We establish an exponential stability result irrespective of the values of the coefficients of the system.
MSC:
| 35B35 | Stability in context of PDEs |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35G46 | Initial-boundary value problems for systems of linear higher-order PDEs |
| 74B05 | Classical linear elasticity |
| 74F05 | Thermal effects in solid mechanics |
References:
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