Observer-based feedback boundary stabilization of the Navier-Stokes equations
type: Item
instance of: scholarly article
title: Observer-based feedback boundary stabilization of the Navier-Stokes equations
zbMATH Open document ID: 1440.93086
author: Xiaoming He
author: Weiwei Hu
author: Yangwen Zhang
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2020-04-08T00:00:00Z
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76D55
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 7188265
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: mixed boundary conditions
zbMATH Keywords: feedback stabilization
zbMATH Keywords: point observation
zbMATH Keywords: Luenberger observer
MaRDI profile type: Publication
full work available at URL: j.cma.2018.05.008
OpenAlex ID: W2806179249
cites work: A mathematical example displaying features of turbulence
cites work: Topics in stability and bifurcation theory
cites work: On the stability of viscous fluid motions
cites work: Transition to turbulence, small disturbances, and sensitivity analysis. I: A motivating problem
cites work: Transition to turbulence, small disturbances, and sensitivity analysis. II: The Navier-Stokes equations
cites work: Q4841248
cites work: Abstract settings for stabilization of nonlinear parabolic system with a Riccati-based strategy. Application to Navier-Stokes and Boussinesq equations with Neumann or Dirichlet control
cites work: Stabilization of Parabolic Nonlinear Systems with Finite Dimensional Feedback or Dynamical Controllers: Application to the Navier–Stokes System
cites work: Abstract settings for tangential boundary stabilization of Navier--Stokes equations by high- and low-gain feedback controllers.
cites work: Tangential boundary stabilization of Navier-Stokes equations
cites work: Boundary Stabilization of the Navier--Stokes Equations in the Case of Mixed Boundary Conditions
cites work: Feedback Boundary Stabilization of the Two-Dimensional Navier--Stokes Equations
cites work: Feedback boundary stabilization of the three-dimensional incompressible Navier-Stokes equations
cites work: Boundary feedback stabilization of the two dimensional Navier-Stokes equations with finite dimensional controllers
cites work: Stabilization of Incompressible Flow Problems by Riccati-based Feedback
cites work: Efficient solution of large-scale saddle point systems arising in Riccati-based boundary feedback stabilization of incompressible Stokes flow
cites work: Riccati-based Boundary Feedback Stabilization of Incompressible Navier--Stokes Flows
cites work: Q4462501
cites work: A Penalized Neumann Control Approach for Solving an Optimal Dirichlet Control Problem for the Navier--Stokes Equations
cites work: Numerical Approximation of Optimal Flow Control Problems by a Penalty Method: Error Estimates and Numerical Results
cites work: Mixed boundary value problems for the stationary Navier-Stokes system in polyhedral domains
cites work: Regularity and perturbation results for mixed second order elliptic problems
cites work: Coupling estimation and control for a two dimensional Burgers type equation
cites work: Centroidal Voronoi Tessellations: Applications and Algorithms
cites work: Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions
cites work: Riccati theory and singular estimates for a Bolza control problem arising in linearized fluid-structure interaction
cites work: Neumann and mixed problems on curvilinear polyhedra
cites work: MULTISCALE MODELING OF THE RESPIRATORY TRACT
cites work: Finite element approximation of the Navier-Stokes equations
cites work: Some Remarks on Complete Controllability
cites work: Q5582663
cites work: On the Fattorini criterion for approximate controllability and stabilizability of parabolic systems
cites work: Feedback stabilization of a thermal fluid system with mixed boundary control
cites work: Unique continuation from an arbitrary interior subdomain of the variable-coefficient Oseen equation
cites work: Q4848744
cites work: Q4893982
cites work: Q4693060
cites work: Bifurcation of periodic solutions of the Navier-Stokes equations
cites work: Optimal actuator/sensor location for active noise regulator and tracking control problems
DOI: 10.1016/J.CMA.2018.05.008
description: scientific article; zbMATH DE number 7188265