Some results of controllability for certain partial differential equations (Q2752856)

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scientific article; zbMATH DE number 1665593
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Some results of controllability for certain partial differential equations
scientific article; zbMATH DE number 1665593

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    16 January 2002
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    approximate controllability
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    exact controllability
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    parabolic equations
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    Navier-Stokes equation
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    Some results of controllability for certain partial differential equations (English)
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    This is an interesting survey article about different kinds of controllability for certain PDE. The exposition focuses on approximate controllability as well as exact controllability along trajectories for heat equations (linear and nonlinear), the Euler equation and the Navier-Stokes equation. Distributed control with localized support and boundary control are considered. The main ideas of the proofs, together with many illustrative remarks are included. The results refer to the works by J. M. Coron, A. Fursikov, O. Imanuvilov, and the author and his collaborators during the last six years.NEWLINENEWLINEFor the entire collection see [Zbl 0967.00053].
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