Observer-based feedback boundary stabilization of the Navier-Stokes equations

DOI10.1016/j.cma.2018.05.008zbMath1440.93086OpenAlexW2806179249MaRDI QIDQ1986267

Yangwen Zhang, Xiaoming He, Weiwei Hu

Publication date: 8 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2018.05.008

zbMATH Keywords

Navier-Stokes equationsfeedback stabilizationmixed boundary conditionsLuenberger observerpoint observation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Stabilization of systems by feedback (93D15) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (5)

Robust output regulation of the linearized Boussinesq equations with boundary control and observation ⋮ Convergence of coprime factor perturbations for robust stabilization of Oseen systems ⋮ Detectability and global observer design for 2D Navier-Stokes equations with uncertain inputs ⋮ Data-driven robust state estimation for reduced-order models of 2D Boussinesq equations with parametric uncertainties ⋮ Approximate local output regulation for a class of nonlinear fluid flows

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