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.


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