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Energy decay of magnetoelastic waves in a bounded conductive medium. (English) Zbl 0931.35017
Summary: We study the decay of the energy of solutions of the system of magnetoelasticity in a bounded, three-dimensional conductive medium. We prove that all solutions decay as \(t\to\infty\) in the energy-space when the domain is simply connected. We also describe the large time behavior of solutions when the domain is not simply connected.

MSC:
35B40 Asymptotic behavior of solutions to PDEs
74F15 Electromagnetic effects in solid mechanics
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