Abstract
We consider a one-dimensional thermoelastic Timoshenko system, where the heat conduction is given by Green and Naghdi theories and acting on shear force. We prove that the unique damping given by the memory is sufficiently strong to stabilize the system exponentially, depending on a new relationship between the coefficients of the system and under some assumptions on the kernel of the memory term. In fact, we establish a general decay result, of which exponential and polynomial decay results are special cases.
Acknowledgments
The authors wish to thank deeply the editors and referees for their useful remarks and their careful reading of the proofs presented in this paper.
Disclosure statement
No potential conflict of interest was reported by the author(s).