Feedback stabilization for the Navier–Stokes equations: theory and calculations

Mathematical Aspects of Fluid Mechanics ◽

10.1017/cbo9781139235792.008 ◽

2012 ◽

pp. 130-172 ◽

Author(s):

A.V. Fursikov ◽

A.A. Kornev

Keyword(s):

Stokes Equations ◽

Feedback Stabilization ◽

Navier Stokes ◽

Navier Stokes Equations

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Feedback Stabilization of the 3-D Navier-Stokes Equations Based on an Extended System

IFIP International Federation for Information Processing - Systems, Control, Modeling and Optimization ◽

10.1007/0-387-33882-9_2 ◽

2006 ◽

pp. 13-24 ◽

Author(s):

M. Badra

Keyword(s):

Stokes Equations ◽

Feedback Stabilization ◽

Navier Stokes ◽

Extended System ◽

Navier Stokes Equations

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Feedback Stabilization of the Two-Dimensional Navier–Stokes Equations by Value Function Approximation

Applied Mathematics & Optimization ◽

10.1007/s00245-019-09586-x ◽

2019 ◽

Vol 80 (3) ◽

pp. 599-641

Author(s):

Tobias Breiten ◽

Karl Kunisch ◽

Laurent Pfeiffer

Keyword(s):

Function Approximation ◽

Value Function ◽

Stokes Equations ◽

Feedback Stabilization ◽

Navier Stokes ◽

Two Dimensional ◽

Navier Stokes Equations ◽

Value Function Approximation

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Feedback stabilization of 2D Navier–Stokes equations with Navier slip boundary conditions

Nonlinear Analysis ◽

10.1016/j.na.2007.12.026 ◽

2009 ◽

Vol 70 (1) ◽

pp. 553-562 ◽

Author(s):

Cătălin Lefter

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Feedback Stabilization ◽

Navier Stokes ◽

Slip Boundary Conditions ◽

Navier Stokes Equations ◽

Navier Slip ◽

Slip Boundary ◽

Navier Slip Boundary Conditions

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Feedback stabilization of the three-dimensional Navier-Stokes equations using generalized Lyapunov equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020178 ◽

2020 ◽

Vol 40 (7) ◽

pp. 4197-4229

Author(s):

Tobias Breiten ◽

◽

Karl Kunisch ◽

Keyword(s):

Stokes Equations ◽

Three Dimensional ◽

Feedback Stabilization ◽

Navier Stokes ◽

Lyapunov Equations ◽

Navier Stokes Equations

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Local Exponential Stabilization Strategies of the Navier-Stokes Equations, d = 2, 3, via Feedback Stabilization of its Linearization

International Series of Numerical Mathematics - Control of Coupled Partial Differential Equations ◽

10.1007/978-3-7643-7721-2_2 ◽

2007 ◽

pp. 13-46 ◽

Author(s):

Viorel Barbu ◽

Irena Lasiecka ◽

Roberto Triggiani

Keyword(s):

Stokes Equations ◽

Feedback Stabilization ◽

Exponential Stabilization ◽

Navier Stokes ◽

Navier Stokes Equations

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Exact Controllability and Feedback Stabilization from a Boundary for the Navier-Stokes Equations

Control of Fluid Flow - Lecture Notes in Control and Information Sciences ◽

10.1007/978-3-540-36085-8_8 ◽

2006 ◽

pp. 173-188

Author(s):

Andrei V. Fursikov

Keyword(s):

Stokes Equations ◽

Exact Controllability ◽

Feedback Stabilization ◽

Navier Stokes ◽

Navier Stokes Equations

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Boundary feedback stabilization of the two dimensional Navier-Stokes equations with finite dimensional controllers

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2010.27.1159 ◽

2010 ◽

Vol 27 (3) ◽

pp. 1159-1187 ◽

Author(s):

Jean-Pierre Raymond ◽

◽

Laetitia Thevenet

Keyword(s):

Stokes Equations ◽

Feedback Stabilization ◽

Navier Stokes ◽

Two Dimensional ◽

Navier Stokes Equations ◽

Boundary Feedback ◽

Finite Dimensional

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Certain questions of feedback stabilization for Navier-Stokes equations

Evolution Equations and Control Theory ◽

10.3934/eect.2012.1.109 ◽

2012 ◽

Vol 1 (1) ◽

pp. 109-140 ◽

Author(s):

Andrei Fursikov ◽

Alexey V. Gorshkov

Keyword(s):

Stokes Equations ◽

Feedback Stabilization ◽

Navier Stokes ◽

Navier Stokes Equations

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Feedback stabilization of the 2-D and 3-D Navier-Stokes equations based on an extended system

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2008059 ◽

2008 ◽

Vol 15 (4) ◽

pp. 934-968 ◽

Author(s):

Mehdi Badra

Keyword(s):

Stokes Equations ◽

Feedback Stabilization ◽

Navier Stokes ◽

Extended System ◽

Navier Stokes Equations

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Feedback Stabilization of the Incompressible Navier–Stokes Equations Coupled with a Damped Elastic System in Two Dimensions

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-016-0305-2 ◽

2016 ◽

Vol 19 (4) ◽

pp. 773-805

Author(s):

Debayan Maity ◽

Jean-Pierre Raymond

Keyword(s):

Elastic System ◽

Stokes Equations ◽

Two Dimensions ◽

Feedback Stabilization ◽

Navier Stokes ◽

Navier Stokes Equations

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