Local Stabilization of the Navier–Stokes Equations with a Feedback Controller Localized in an Open Subset of the Domain

DOI10.1080/01630560701348434zbMath1114.76021OpenAlexW2016287878MaRDI QIDQ5297949

Mehdi Badra

Publication date: 16 July 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560701348434

zbMATH Keywords

feedback stabilizationLyapunov functionalRiccati equationNavier-Stokes system

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (1)

Local feedback stabilization of time-periodic evolution equations by finite dimensional controls

Cites Work

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• Feedback Stabilization of the 3-D Navier-Stokes Equations Based on an Extended System
• Feedback Boundary Stabilization of the Two-Dimensional Navier--Stokes Equations
• Feedback stabilization of Navier–Stokes equations
• On fractional powers of the Stokes operator
• Internal stabilization of Navier-Stokes equations with finite-dimensional controllers

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