Uniqueness results for Stokes cascade systems and application to insensitizing controls

DOI10.1016/j.crma.2012.09.008zbMath1256.35184OpenAlexW1975586923MaRDI QIDQ1759782

Mamadou Gueye

Publication date: 22 November 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.09.008

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with control and optimization (35Q93)

Related Items (1)

Insensitizing exact controls for the scalar wave equation and exact controllability of 2-coupled cascade systems of PDE's by a single control

Cites Work

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• Local null controllability of the two-dimensional Navier-Stokes system in the torus with a control force having a vanishing component
• Unique continuation for some evolution equations
• Approximate controllability of the Stokes system on cylinders by external unidirectional forces
• Controls insensitizing the norm of the solution of a semilinear heat equation
• Insensitizing controls for the Navier-Stokes equations
• Controllability of systems of Stokes equations with one control force: existence of insensitizing controls
• Identification of the class of initial data for the insensitizing control of the heat equation
• Unique continuation principle for systems of parabolic equations
• Generic Properties of Eigenfunctions

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