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Energy decay rates of magnetoelastic waves in a bounded conductive medium

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  • We consider a coupled system of evolution equations modeling the propagation of elastic waves interacting with a magnetic field in a bounded simply connected region of $\mathbb{R}^3$ with boundary of class $C^2$. A nonlinear dissipative mechanism is allowed to be effective in an small subregion of $\Omega$. We prove that the total energy decays as $t \to +\infty$.
    Mathematics Subject Classification: Primary: 35B40, 35Q60; Secondary: 35Q99.


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