On stability of hyperbolic thermoelastic Reissner–Mindlin–Timoshenko plates

@article{Pokojovy2015OnSO,
  title={On stability of hyperbolic thermoelastic Reissner–Mindlin–Timoshenko plates},
  author={Michael Pokojovy},
  journal={Mathematical Methods in The Applied Sciences},
  year={2015},
  volume={38},
  pages={1225-1246}
}
  • Michael Pokojovy
  • Published 2015
  • Mathematics
  • Mathematical Methods in The Applied Sciences
In the present article, we consider a thermoelastic plate of Reissner–Mindlin–Timoshenko type with the hyperbolic heat conduction arising from Cattaneo's law. In the absence of any additional mechanical dissipations, the system is often not even strongly stable unless restricted to the rotationally symmetric case, and so on. We present a well-posedness result for the linear problem under general mixed boundary conditions for the elastic and thermal parts. For the case of a clamped, thermally… Expand
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