Fursikov, Andrei; Gorshkov, Alexey V. Certain questions of feedback stabilization for Navier-Stokes equations. (English) Zbl 1259.93095 Evol. Equ. Control Theory 1, No. 1, 109-140 (2012). 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. Cited in 15 Documents MSC: 93D15 Stabilization of systems by feedback 76D05 Navier-Stokes equations for incompressible viscous fluids 35Q30 Navier-Stokes equations Keywords:Navier-Stokes equations; stabilization; control; feedback operator; invariant manifold PDFBibTeX XMLCite \textit{A. Fursikov} and \textit{A. V. Gorshkov}, Evol. Equ. Control Theory 1, No. 1, 109--140 (2012; Zbl 1259.93095) Full Text: DOI