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Certain questions of feedback stabilization for Navier-Stokes equations. (English) Zbl 1259.93095

Summary: The authors study the stabilization problem for Navier-Stokes and Oseen equations near steady-state solution by feedback control. The cases of control in initial condition (start control) as well as impulse and distributed controls in right side supported in a fixed subdomain of the domain \(G\) filled with a fluid are investigated. The cases of bounded and unbounded domain \(G\) are considered.

MSC:

93D15 Stabilization of systems by feedback
76D05 Navier-Stokes equations for incompressible viscous fluids
35Q30 Navier-Stokes equations
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