Asymptotic behaviour for a thermoelastic problem of a microbeam with thermoelasticity of type III

摘要

In this paper we study the asymptotic behavior of a equation modeling amicrobeam moving transversally, coupled with an equation describing a heat pulse onit. Such pulse is given by a type III of the Green–Naghdi model, providing a morerealistic model of heat flow from a physics point of view. We use semigroups theory toprove existence and uniqueness of solutions of our model, and multiplicative techniquesto prove exponentially stable of its associated semigroup.