Improvement on the polynomial stability for a Timoshenko system with type III thermoelasticity

Abstract In the present work our main goal is to improve the polynomial decay obtained recently by Santos and Almeida (2017) for a Timoshenko system with type III thermoelasticity. More specifically, in the generic case of different wave speeds of propagation, it is proved by the authors that problem is polynomially stable with decay rate t − 1 ∕ 4 for the Dirichlet boundary condition. Here, our objective is to consider the same problem and prove, still in the general situation of different wave speeds, that the decay rate for the Dirichlet boundary condition is t − 1 ∕ 2 , which consists in a faster decay than the previous one.

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