Global Riemannian wave attractors and the optimal measure of localized damping

Mendoza-Arenas R.D.; Sotelo-Pejerrey A.; Rodríguez L.E.B.; Gutierrez H.O.C.; Baltazar M.P.D.; Salazar J.M.R.; Gonzales C.A.D. · Proceedings of the LACCEI international Multi-conference for Engineering, Education and Technology (2023)

Resumen

In this paper we study the long-term dynamics of a Riemannian wave exposed to critical structural forces in the Sobolev sense, where the dissipation region is located in an optimal sense in measure, in particular, the damping region is ε-controllable in measure. The objective is to prove the existence of a global attractor for the semigroup associated to the model.

Instituciones: Universidad Nacional del Callao