Electron. J. Diff. Equ., Vol. 2011 (2011), No. 127, pp. 1-14.

Decay rates of magnetoelastic waves in an unbounded conductive medium

Ruy Coimbra Charao, Jauber Cavalcante Oliveira, Gustavo Perla Menzala

Abstract:
We study the uniform decay of the total energy of solutions for a system in magnetoelasticity with localized damping near infinity in an exterior 3-D domain. Using appropriate multipliers and recent work by Charao and Ikekata [3], we conclude that the energy decays at the same rate as $(1+t)^{-1}$ when $t\to+\infty$.

Submitted September 23, 2011. Published October 11, 2011.
Math Subject Classifications: 35B40, 35Q60, 36Q99.
Key Words: Magnetoelastic waves; exterior domain; localized damping; energy decay.

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Ruy Coimbra Charão
Department of Mathematics
Federal University of Santa Catarina
CEP 88040-900, Florianópolis, SC, Brazil
email: ruycharao@gmail.com
Jáuber Cavalcante Oliveira
Department of Mathematics
Federal University of Santa Catarina
CEP 88040-900, Florianópolis, SC, Brazil
email: jauber@mtm.ufsc.br
Gustavo Perla Menzala
Department of Mathematics
Federal University of Santa Catarina
CEP 88040-900, Florianópolis, SC, Brazil
email: perla@lncc.br

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