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

Remarks on exact controllability for Stokes and Navier-Stokes systems. (Q1426624)

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scientific article; zbMATH DE number 2057117
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English
Remarks on exact controllability for Stokes and Navier-Stokes systems.
scientific article; zbMATH DE number 2057117

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    Remarks on exact controllability for Stokes and Navier-Stokes systems. (English)
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    15 March 2004
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    The authors consider controllability of the Stokes and Navier-Stokes equations with distributed controls supported by a (possibly small) subdomain. The results are on null controllability in arbitrary time \(T > 0\) and on exact controllability to trajectories of the Navier-Stokes equations. The main tool is a global Carleman inequality for the solutions of the Stokes equations and more general systems. Proofs will be presented elsewhere.
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    controllability
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    distributed parameter systems
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    Stokes equations
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    Navier-Stokes equations
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    Carleman inequality
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