Remarks on exact controllability for Stokes and Navier-Stokes systems.

DOI10.1016/j.crma.2003.12.016zbMath1042.93036OpenAlexW4302193950MaRDI QIDQ1426624

Sergio Guerrero, Enrique Fernández-Cara, Jean-Pierre Puel, Oleg Yurievich Imanuvilov

Publication date: 15 March 2004

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.2003.12.016

zbMATH Keywords

controllabilityNavier-Stokes equationsdistributed parameter systemsStokes equationsCarleman inequality

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Navier-Stokes equations (35Q30) Flow control and optimization for incompressible viscous fluids (76D55)

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Distributed control of linearized Navier-Stokes equations via discretized input/output maps ⋮ GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS ⋮ Local exact controllability of the Navier-Stokes system ⋮ Inverse source problem for linearized Navier–Stokes equations with data in arbitrary sub-domain

Cites Work

• Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
• Remarks on exact controllability for the Navier-Stokes equations
• Controllability of parabolic equations
• Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
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