On the stabilization of a hyperbolic Stokes system under geometric control condition
Analysis of PDEs
2020-07-21 v2 Optimization and Control
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.
Cite
@article{arxiv.1711.04301,
title = {On the stabilization of a hyperbolic Stokes system under geometric control condition},
author = {Felipe W. Chaves-Silva and Chenmin Sun},
journal= {arXiv preprint arXiv:1711.04301},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1710.07996