Insensitizing controls with two vanishing components for the three-dimensional Boussinesq system

DOI10.1051/cocv/2014020zbMath1315.35158OpenAlexW2069666761MaRDI QIDQ5179563

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Publication date: 20 March 2015

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://www.esaim-cocv.org/10.1051/cocv/2014020/pdf

zbMATH Keywords

null controllabilityBoussinesq systemNavier-Stokes systemCarleman inequalitiesinsensitizing controls

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) PDEs in connection with fluid mechanics (35Q35) PDEs in connection with control and optimization (35Q93)

Related Items (13)

Insensitizing controls for a phase field system ⋮ Local null controllability of a model system for strong interaction between internal solitary waves ⋮ Potential reconstruction for a class of hyperbolic systems from incomplete measurements ⋮ Local null controllability of the penalized Boussinesq system with a reduced number of controls ⋮ Desensitizing control for the heat equation with respect to domain variations ⋮ Controllability results for cascade systems of m coupled N-dimensional stokes and Navier-stokes systems by N – 1 scalar controls ⋮ Insensitizing control for linear and semi-linear heat equations with partially unknown domain ⋮ Control problems for the Navier-Stokes system with nonlocal spatial terms ⋮ A Kalman condition for the controllability of a coupled system of Stokes equations ⋮ Existence of controls insensitizing the rotational of the solution of the Navier-Stokes system having a vanishing component ⋮ Insensitizing control problem for the Hirota-Satsuma system of KdV-KdV type ⋮ An insensitizing control problem for the Ginzburg-Landau equation ⋮ Insensitizing controls for a semilinear parabolic equation: a numerical approach

Cites Work

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• Insensitizing controls with one vanishing component for the Navier-Stokes system
• Local null controllability of the three-dimensional Navier-Stokes system with a distributed control having two vanishing components
• Null controllability of the \(N\)-dimensional Stokes system with \(N - 1\) scalar controls
• Carleman estimates for parabolic equations with nonhomogeneous boundary conditions
• Unique continuation for some evolution equations
• Approximate controllability of the Stokes system on cylinders by external unidirectional forces
• An example of \(\varepsilon\)-insensitizing controls for the heat equation with no intersecting observation and control regions.
• Controls insensitizing the norm of the solution of a semilinear heat equation
• Local controllability of the \(N\)-dimensional Boussinesq system with \(N - 1\) scalar controls in an arbitrary control domain
• Local null controllability of the \(N\)-dimensional Navier-Stokes system with \(N - 1\) scalar controls in an arbitrary control domain
• Insensitizing controls for the Navier-Stokes equations
• Controllability of systems of Stokes equations with one control force: existence of insensitizing controls
• Remarks on exact controllability for the Navier-Stokes equations
• Some Controllability Results forthe N-Dimensional Navier--Stokes and Boussinesq systems with N-1 scalar controls
• Unique continuation principle for systems of parabolic equations
• Insensitizing controls for a semilinear heat equation

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