On the stabilization of a hyperbolic Stokes system under geometric control condition
arXiv:1711.04301
Abstract
In this paper, we study the stabilization problem for a hyperbolic type Stokes system posed on a bounded domain. We show that when the damping effects are restricted to a subdomain satisfying the geometrical control condition the system decays exponentially. The result is a consequence of a new quasi-mode estimate for the Stokes system.
arXiv admin note: text overlap with arXiv:1710.07996