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Stabilization of mixture of two rigid solids modeling temperature and porosity
Authors:Margareth S. Alves  Jaime E. Muñoz Rivera  Mauricio Sepúlveda  Octavio P. Vera Villagrán
Affiliation:1. Departamento de Matemática, Universidade Federal de Viçosa-UFV, 36570-000, Viçosa-MG, Brazil;2. LNCC, Rua Getulio Vargas 333, Quitandinha-Petrópolis, 25651-070, Rio de Janeiro, RJ, Brazil;4. Departamento de Matemática, Universidad del Bío-Bío, Collao 1202, Casilla 5-C, Concepción, Chile
Abstract:In this paper we investigate the asymptotic behavior of solutions to the initial boundary value problem for a mixture of two rigid solids modeling temperature and porosity. Our main result is to establish conditions which ensure the analyticity and the exponential stability of the corresponding semigroup.
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