Global regularity of 3D rotating Navier-Stokes equations for resonant domains
type: Item
instance of: scholarly article
title: Global regularity of 3D rotating Navier-Stokes equations for resonant domains
zbMATH Open document ID: 0963.76020
DOI: 10.1016/S0893-9659(99)00208-6
author: A. Babin
author: Alex Mahalov
author: Basil Nicolaenko
published in: Applied Mathematics Letters
publication date: 2000-12-04T00:00:00Z
review text: Using dyadic decomposition, the authors prove the global existence of regular solutions for three-dimensional Navier-Stokes equations for rotating flows, in the limit of strong rotation, with periodic or stress-free boundary conditions for all domain aspect ratios, including wave resonances. Infinite time regularity of the solutions is obtained by bootstrapping method from global regularity of limit equations, and by using convergence theorems.
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 1540373
zbMATH Keywords: global existence
zbMATH Keywords: dyadic decomposition
zbMATH Keywords: three-dimensional Navier-Stokes equations
zbMATH Keywords: limit of strong rotation
zbMATH Keywords: waver resonances
zbMATH Keywords: infinite time regularity
zbMATH Keywords: bootstrapping method
zbMATH Keywords: global regularity
zbMATH Keywords: limit equations
zbMATH Keywords: convergence
reviewed by: Adabala Ramachandra Rao
MaRDI profile type: Publication
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full work available at URL: s0893-9659(99)00208-6
OpenAlex ID: W2013742357
description: scientific article; zbMATH DE number 1540373