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

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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Bibliographic Details
Published in:Archive for rational mechanics and analysis 2012-07, Vol.205 (1), p.195-237
Main Authors: Flandoli, Franco, Mahalov, Alex
Format: Article
Language:English
Subjects:
Classical Mechanics
Complex Systems
Fluid- and Aerodynamics
Mathematical and Computational Physics
Navier-Stokes equations
Physics
Physics and Astronomy
Theoretical
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Description
Summary: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.
ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-012-0507-6