Stability aspects in a nonsimple thermoelastic diffusion problem

Abstract

In this article, we investigate the asymptotic behaviour of a one-dimensional problem of linear theory of nonsimple thermoelastic diffusion. We show that the corresponding semigroup is exponentially stable but not analytic. We conclude by showing the impossibility of localization in time of the solutions.

Keywords:

• nonsimple thermoelastic diffusion
• exponential stability
• analyticity
• impossibility of localization in time

AMS Subject Classifications::

• 35B35
• 74H55