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Evolutionary Systems and the Navier–Stokes Equations

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Navier–Stokes Equations

Part of the book series: Advances in Mechanics and Mathematics ((AMMA))

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Abstract

This chapter is devoted to the study of three-dimensional nonstationary Navier–Stokes equations with the multivalued frictional boundary condition. We use the formalism of evolutionary systems to prove the existence of weak global attractor for the studied problem.

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Authors and Affiliations

  1. Faculty of Mathematics, Informatics, and Mechanics, University of Warsaw, Warszawa, Poland

    Grzegorz Łukaszewicz

  2. Faculty of Mathematics and Computer Science, Jagiellonian University in Krakow, Krakow, Poland

    Piotr Kalita

Authors
  1. Grzegorz Łukaszewicz
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  2. Piotr Kalita
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Łukaszewicz, G., Kalita, P. (2016). Evolutionary Systems and the Navier–Stokes Equations. In: Navier–Stokes Equations. Advances in Mechanics and Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-27760-8_15

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