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arXiv · 1711.04301

On the stabilization of a hyperbolic Stokes system under geometric control condition

Felipe W. Chaves-Silva·Chenmin Sun
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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.

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Felipe W. Chaves-Silva, Chenmin Sun. 2020-07-17. On the stabilization of a hyperbolic Stokes system under geometric control condition. https://arxiv.org/abs/1711.04301

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