ABSTRACT
In this paper, we consider the Bresse system in thermoelasticity of type III, we prove new decay results for the -norm of the solution and its higher order derivatives. To prove our results, we use the energy method in the Fourier space to build a very delicate Lyapunov functionals that give the desired results. These results improve the one existing in the literature [Said-Houari B, Rahali R. Asymptotic behavior of the Cauchy problem of the Timoshenko system in thermoelsaticity of type III. Evol Equ Control Theory. 2013;2(2):423–440.].
Disclosure statement
No potential conflict of interest was reported by the authors.