On the exponential decay of solutions in one-dimensional generalized porous-thermo-elasticity

Article type: Research Article

Authors: Magaña, A. | Quintanilla, R.

Affiliations: Dept. Matemática Aplicada 2, UPC, C. Colón 11, 08222 Terrassa, Barcelona, Spain E-mail: magana@ruth.upc.es

Note: [] Corresponding author.

Abstract: In this paper we investigate the asymptotic behavior of the solutions of the one-dimensional generalized porous-thermo-elasticity problem. First, we prove that when only thermal damping is present the decay of solutions is slow (generically). Second, we show that if the porous dissipation is also present the decay of the solutions is controlled by an exponential.

Keywords: generalized porous-thermo-elasticity, exponential stability, semigroup of contractions

Journal: Asymptotic Analysis, vol. 49, no. 3-4, pp. 173-187, 2006