Exponential decay in a thermoelastic mixture of solids

✍ Scribed by M.S. Alves; J.E. Muñoz Rivera; R. Quintanilla

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 272 KB
• Volume: 46
• Category: Article
• ISSN: 0020-7683
• DOI: 10.1016/j.ijsolstr.2008.12.005

✦ Synopsis

In this paper, we investigate the asymptotic behaviour of solutions to the initial boundary value problem for a one-dimensional mixture of thermoelastic solids. Our main result is to establish a necessary and sufficient condition over the coefficients of the system to get the exponential stability of the corresponding semigroup. We also prove the impossibility of time localization of solutions.