Affiliations: National Laboratory of Scientific Computation, LNCC/CNPq, Rua Getulio Vargas 333, Quitandinha, Petrópolis, CEP 25651‐070, RJ, Brasil, and Institute of Mathematics, UFRJ, P.O. Box 68530, Rio de Janeiro, RJ, Brasil E‐mail: [email protected] | Departamento de Matemática Aplicada, Universidad Complutense, 28040 Madrid, Spain E‐mail: [email protected]
Note: [] Partially supported by a Grant of CNP and PRONEX (MCT, Brasil).
Note: [] Corresponding author.
Note: [] Supported by Grants PB 96‐0663 and the DGES (Spain), ERB FMRX CT 960033 of the European Union.
Abstract: We study the decay of the energy of solutions of the system of magnetoelasticity in a bounded, three‐dimensional conductive medium. We prove that all solutions do decay as t\to\infty in the energy‐space when the domain is simply connected. We also describe the large time behavior of solutions when the domain is not simply connected.
