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

2017/11/12 by Felipe W. Chaves-Silva, Chenmin Sun, Chaves-Silva, Felipe W. +1
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1711.04301

openalex publication_date 2017/11/12 · openalex created_date 2017/12/04 · openalex updated_date 2026/07/28

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.

Citations

• Singularities of boundary value problems. I
• Semi-classical propagation of singularity for Stokes system

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