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On the stabilization of a hyperbolic Stokes system under geometric control condition
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On the stabilization of a hyperbolic Stokes system under geometric control condition
classification
math.AP
math.OC
keywords
systemstokesconditioncontrolhyperbolicstabilizationboundedconsequence
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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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