We consider a transmission problem for a system of electromagneto-elasticity having piecewise constant coefficients in a bounded domain. Under suitable geometric conditions imposed on the domain and the interfaces where the coefficients have a jump discontinuity, results on uniform boundary stabilization are established. Exact boundary controllability is then obtained through Russell's "controllability via stabilizability" principle.
"Energy decay and a transmission problem in electromagneto-elasticity." Adv. Differential Equations 7 (7) 819 - 846, 2002. https://doi.org/10.57262/ade/1356651707