Internal stabilizability of the Navier-Stokes equations

DOI10.1016/S0167-6911(02)00261-XzbMath1134.93396OpenAlexW2044049625MaRDI QIDQ2503456

Lefter Cătălin, Viorel Barbu

Publication date: 21 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(02)00261-x

zbMATH Keywords

Navier-Stokes equationsEigenvalueSteady-state solutionsStabilizableFeedback controller

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) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (11)

Hybrid domain decomposition filters for advection-diffusion PDEs with mobile sensors ⋮ On the stationary solutions to 2D \(g\)-Navier-Stokes equations ⋮ Stabilization of 3D Navier-Stokes-Voigt equations ⋮ Asymptotic behavior of solutions to the three-dimensional stochastic Leray-\( \alpha\) model ⋮ Asymptotic behaviour of solutions to stochastic three-dimensional globally modified Navier–Stokes equations ⋮ Asymptotic behavior and internal stabilization for the micropolar fluid equations ⋮ Feedback stabilization of 2D Navier-Stokes equations with Navier slip boundary conditions ⋮ Nonlinear feedback controllers for the Navier-Stokes equations ⋮ Stability and stabilization for the three-dimensional Navier-Stokes-Voigt equations with unbounded variable delay ⋮ Internal stabilization of stochastic 3D Navier-Stokes-Voigt equations with linearly multiplicative Gaussian noise ⋮ Stabilization of the Boussinesq equation via internal feedback controls

Cites Work

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• Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
• Remarks on exact controllability for the Navier-Stokes equations
• On exact controllability for the Navier-Stokes equations
• Flow invariance preserving feedback controllers for the Navier-Stokes equation.
• Local internal controllability of the Navier-Stokes equations.

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