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Exponential stability in thermoviscoelastic mixtures of solids |
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| Authors: | M.S. Alves J.E. Muñoz Rivera M. Sepúlveda O.V. Villagrán |
| Affiliation: | 1. Departamento de Matemática, Universidade Federal de Viçosa-UFV, 36570-000, Viçosa-MG, Brazil;2. National Laboratory for Scientific Computation, Rua Getulio Vargas 333, Quitandinha-Petrópolis 25651-070, Rio de Janeiro, RJ, Brazil;3. Departamento de Ingeniería Matemática, Universidad de Concepción, Chile;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 one-dimensional mixture of thermoviscoelastic solids. Our main result is to establish the exponential stability of the corresponding semigroup and the lack of exponential stability of the corresponding semigroup. |
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