In this article, 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 geometric control condition, the energy of the system decays exponentially. The result is a consequence of a new quasi-mode estimate for the Stokes system.

中文翻译：

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几何控制条件下双曲斯托克斯系统的稳定性

在本文中，我们研究了有界区域上双曲型Stokes系统的镇定问题。我们表明，当阻尼效应被限制在满足几何控制条件的子域时，系统的能量呈指数衰减。结果是对斯托克斯系统进行了新的准模式估计的结果。