Global stabilization of the Navier-Stokes equations around an unstable equilibrium state with a boundary feedback controller

DOI10.3934/eect.2015.4.89zbMath1331.93176OpenAlexW2316445382MaRDI QIDQ261337

Abdou Sène, Evrad M. D. Ngom, Daniel Y. Le Roux

Publication date: 23 March 2016

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2015.4.89

zbMATH Keywords

Galerkin methodfeedback controlboundary stabilizationNavier-Stokes system

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (5)

Semiglobal exponential stabilization of nonautonomous semilinear parabolic-like systems ⋮ Feedback boundary stabilization to trajectories for 3D Navier-Stokes equations ⋮ Global stabilization of the Navier-Stokes equations around an unstable steady state with mixed boundary kinetic energy controller ⋮ Stabilization of nonautonomous linear parabolic-like equations: oblique projections versus Riccati feedbacks ⋮ Boundary Feedback Controller over a Bluff Body for Prescribed Drag and Lift Coefficients

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