On the Feedback Stabilization of Boussinesq Equations

DOI10.2478/v10157-011-0027-yzbMath1249.76024OpenAlexW1976498864MaRDI QIDQ2893645

Adriana-Ioana Lefter

Publication date: 21 June 2012

Published in: Annals of the Alexandru Ioan Cuza University - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/v10157-011-0027-y

zbMATH Keywords

Navier-Stokes equationsstabilizationweak solutionsBoussinesq equationsmonotone operators

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35)

Related Items (3)

Uniform stabilization of Boussinesq systems in critical \(\mathbf{L}^q \)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls ⋮ Boundary feedback stabilization of Boussinesq equations ⋮ Finite-dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory

Cites Work

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• Nonlinear feedback controllers for the Navier-Stokes equations
• Analysis and control of nonlinear infinite dimensional systems
• Stabilization of the Boussinesq equation via internal feedback controls
• Feedback Stabilization of Magnetohydrodynamic Equations
• Internal stabilization of Navier-Stokes equations with finite-dimensional controllers
• Mathematical control theory: an introduction
• Flow invariance preserving feedback controllers for the Navier-Stokes equation.

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