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
when
.
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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