Rates of Decay of magnetoelastic waves in a bounded conductive medium.

Rates of Decay of magnetoelastic waves in a bounded conductive medium.

We consider a coupled system of evolution equations modelling the propagation of elastic waves interacting with a magnetic field in a bounded simply connected region of the 3-D space. A nonlinear dissipative mechanism is allow to be effective in a small subregion of the body.We prove that the total energy decays (locally) uniformly as time approaches infinity. This a joint work with R. Coimbra Charao and J. O. Oliveira.