Eventi

6 Marzo, 2015 14:00
Sezione di Calcolo delle Variazioni ed Equazioni Differenziali

Exponential stability for thermoelastic Bresse systems with nonclassical heat conduction

Filippo Dell' Oro, Institute of Mathematics of the Academy of Sciences of the Czech Republic
Aula seminari III piano
Abstract

We provide a comprehensive stability analysis of the thermoelastic Bresse system (also known as the circular arch problem). In particular, assuming a temperature evolution of Gurtin-Pipkin type, we establish a necessary and sufficient condition for exponential stability in terms of the structural parameters of the problem. As a byproduct, a complete characterization of the longtime behavior of Bresse-type systems with Fourier, Maxwell-Cattaneo and Coleman-Gurtin thermal laws is obtained.