Exact Controllability in Minimal Time of the Navier--Stokes Periodic Flow in a 2D-Channel

DOI10.1137/20M132780XzbMath1461.93038arXiv2004.09172OpenAlexW3112254347WikidataQ126914360 ScholiaQ126914360MaRDI QIDQ5139673

Gabriela Marinoschi

Publication date: 10 December 2020

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.09172

zbMATH Keywords

boundary controlNavier-Stokes equationsnecessary conditions of optimalityminimal time controllability

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) PDEs in connection with fluid mechanics (35Q35)

Cites Work

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• The Bang-Bang principle of time optimal controls for the heat equation with internal controls
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• Stabilization of a plane channel flow by wall normal controllers
• Convexity and Optimization in Banach Spaces
• Local exact controllability of the two-dimensional Navier-Stokes equations
• The Optimal Time Control of A Phase-Field System
• Exact controllability of the Navier-Stokes and Boussinesq equations
• Minimal time sliding mode control for evolution equations in Hilbert spaces
• Nonlinear Differential Equations of Monotone Types in Banach Spaces
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