Global existence and exponential stability for a nonlinear Timoshenko systemwith delay

@inproceedings{Feng2015GlobalEA,
  title={Global existence and exponential stability for a nonlinear Timoshenko systemwith delay},
  author={Boyuan Feng and Maur{\'i}cio L Pelicer},
  year={2015}
}
This paper is concerned with a nonlinear Timoshenko system modeling clamped thin elastic beams with time delay. The delay is defined on a feedback term associated to the equation for rotation angle. Under suitable assumptions on the data, we establish the well-posedness of the problem with respect to weak solutions. We also establish the exponential stability of the system under the usual equal wave speeds assumption. 

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