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Stability aspects in a nonsimple thermoelastic diffusion problem
Authors:Moncef Aouadi
Institution:1. Département de Mathématique , Institut Supérieur des Sciences Appliquées et de Technologie de Mateur , Route de Tabarka , 7030 Mateur , Tunisie moncef.aouadi@yahoo.fr
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
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