Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 127, pp. 1-14.

Title: Decay rates of magnetoelastic waves in an unbounded conductive medium

Authors: Ruy Coimbra Charao (Federal Univ. of Santa Catarina, Brazil)
         Jauber Cavalcante Oliveira (Federal Univ. of Santa Catarina, Brazil)
         Gustavo Perla Menzala (Federal Univ. of Santa Catarina, Brazil)

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.