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Stochastic Three-Dimensional Rotating Navier–Stokes Equations: Averaging, Convergence and Regularity

Archive for Rational Mechanics and Analysis volume 205, pages 195–237 (2012)Cite this article

Abstract

We consider stochastic three-dimensional rotating Navier–Stokes equations and prove averaging theorems for stochastic problems in the case of strong rotation. Regularity results are established by bootstrapping from global regularity of the limit stochastic equations and convergence theorems.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Pisa, Pisa, Italy

    Franco Flandoli

  2. School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ, USA

    Alex Mahalov

Authors
  1. Franco Flandoli
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  2. Alex Mahalov
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Correspondence to Alex Mahalov.

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Communicated by V. Šverák

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Flandoli, F., Mahalov, A. Stochastic Three-Dimensional Rotating Navier–Stokes Equations: Averaging, Convergence and Regularity. Arch Rational Mech Anal 205, 195–237 (2012). https://doi.org/10.1007/s00205-012-0507-6

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  • DOI: https://doi.org/10.1007/s00205-012-0507-6

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