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Controllability Property for the Navier-Stokes Equations

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Book cover Optimal Control of Partial Differential Equations

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 133))

Abstract

Different statements of a controllability problem for the Navier-Stokes equations are given. Theorems on exact, on local exact and on approximate controllability of the 3D Navier-Stokes equations are obtained when the Navier-Stokes equations are supplied with periodic boundary conditions (i.e. these equations are defined on torus II), a control is distributed and it is concentrated in a subdomain of II.

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References

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Author information

Authors and Affiliations

  1. Department of Mechanics and Mathematics, Moscow State University, 119899, Moscow, Russia

    Andrei V. Fursikov

Authors
  1. Andrei V. Fursikov
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Editor information

Editors and Affiliations

  1. Zentrum Mathematik, Technische Universität München, Arcisstraße 21, 80333, München, Germany

    Karl-Heinz Hoffmann

  2. Mathematisches Institut, Universität Bayreuth, 95440, Bayreuth, Germany

    Günter Leugering

  3. Fakultät für Mathematik, TU Chemnitz, 09107, Chemnitz, Germany

    Fredi Tröltzsch

  4. 53111, Bonn, Germany

    Stiftung Caesar

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© 1999 Springer Basel AG

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Fursikov, A.V. (1999). Controllability Property for the Navier-Stokes Equations. In: Hoffmann, KH., Leugering, G., Tröltzsch, F., Caesar, S. (eds) Optimal Control of Partial Differential Equations. ISNM International Series of Numerical Mathematics, vol 133. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8691-8_13

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  • DOI: https://doi.org/10.1007/978-3-0348-8691-8_13

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9731-0

  • Online ISBN: 978-3-0348-8691-8

  • eBook Packages: Springer Book Archive

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