Decay rates of magnetoelastic waves in an unbounded conductive medium

Abstract

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 $to+infty$.

Keywords

• Magnetoelastic waves
• exterior domain
• localized damping
• energy decay