Certain questions of feedback stabilization for Navier-Stokes equations
Andrei Fursikov - Department of Mechanics & Mathematics, Moscow State University, Moscow 119991, Russian Federation (email)
Abstract: 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.
Keywords: Navier-Stokes equations, stabilization, control, feedback operator, invariant manifold.
Received: November 2011; Revised: February 2012; Available Online: March 2012.
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