Decay rates of magnetoelastic waves in an unbounded conductive medium
Electronic journal of differential equations, Tome 2011 (2011)
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 $t\to+\infty$.
Classification : 35B40, 35Q60, 36Q99
Keywords: magnetoelastic waves, exterior domain, localized damping, energy decay
@article{EJDE_2011__2011__a92,
     author = {Charao,  Ruy Coimbra and Oliveira,  Jauber Cavalcante and Perla Menzala,  Gustavo},
     title = {Decay rates of magnetoelastic waves in an unbounded conductive medium},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1233.35033},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a92/}
}
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%A Perla Menzala,  Gustavo
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%J Electronic journal of differential equations
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%F EJDE_2011__2011__a92
Charao,  Ruy Coimbra; Oliveira,  Jauber Cavalcante; Perla Menzala,  Gustavo. Decay rates of magnetoelastic waves in an unbounded conductive medium. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a92/