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Sinai’s Dynamical System Perspective on Mathematical Fluid Dynamics

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The Abel Prize 2013-2017

Part of the book series: The Abel Prize ((AP))

Abstract

We review some of the most remarkable results obtained by Ya.G. Sinai and collaborators on the difficult problems arising in the theory of the Navier–Stokes equations and related models. The survey is not exhaustive, and it omits important results, such as those related to “Burgers turbulence”. Our main focus in on acquainting the reader with the application of the powerful methods of dynamical systems and statistical mechanics to this field, which is the main original feature of Sinai’s contribution.

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Author information

Authors and Affiliations

  1. Istituto Nazionale di Alta Matematica (INdAM), GNFM, Unità locale Università Roma Tre, Rome, Italy

    Carlo Boldrighini

  2. Department of Mathematics, Hong Kong University of Science and Technology, Kowloon, Hong Kong

    Dong Li

Authors
  1. Carlo Boldrighini
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  2. Dong Li
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Correspondence to Carlo Boldrighini .

Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, NTNU Norwegian University of Science and Technology, Trondheim, Norway

    Helge Holden

  2. Department of Mathematics, University of Oslo, Oslo, Norway

    Ragni Piene

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Boldrighini, C., Li, D. (2019). Sinai’s Dynamical System Perspective on Mathematical Fluid Dynamics. In: Holden, H., Piene, R. (eds) The Abel Prize 2013-2017. The Abel Prize. Springer, Cham. https://doi.org/10.1007/978-3-319-99028-6_6

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