Feedback Boundary Stabilization to Trajectories for 3D Navier–Stokes Equations
نویسندگان
چکیده
منابع مشابه
Normal feedback boundary stabilization to trajectories for 3D NavierâĂŞStokes equations
Given a nonstationary trajectory of the Navier–Stokes system, a finitedimensional feedback boundary controller stabilizing locally the system to the given solution is constructed. Moreover the controller is supported in a given open subset of the boundary of the domain containing the fluid and acts normal to the boundary. In a first step a controller is constructed that stabilizes the linear Os...
متن کاملNormal Feedback Boundary Stabilization to Trajectories for 3d Navier–stokes Equations
Given a nonstationary trajectory of the Navier–Stokes system, a finitedimensional feedback boundary controller stabilizing locally the system to the given solution is constructed. Moreover the controller is supported in a given open subset of the boundary of the domain containing the fluid and acts normal to the boundary. In a first step a controller is constructed that stabilizes the linear Os...
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The aim of this work is to design an explicit finite dimensional boundary feedback controller for stabilizing the equilibrium solutions to Navier-Stokes equations on a bounded and open domain in R, under the assumption that the unstable eigenvalues of the Stokes-Oseen operator are semisimple. The form of the stabilizing feedback is related to that one in [V. Barbu, 2012, [1]]. In comparison to ...
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We study the exponential stabilization of the linearized Navier-Stokes equations around an unstable stationary solution, by means of a feedback boundary control, in dimension 2 or 3. The feedback law is determined by solving a Linear-Quadratic control problem. We do not assume that the normal component of the control is equal to zero. In that case the state equation, satisfied by the velocity f...
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ژورنال
عنوان ژورنال: Applied Mathematics & Optimization
سال: 2018
ISSN: 0095-4616,1432-0606
DOI: 10.1007/s00245-017-9474-5