Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains
type: Item
instance of: scholarly article
title: Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains
zbMATH Open document ID: 0722.35014
DOI: 10.1007/BF02391905
author: Wolfgang Borchers
author: Tetsuro Miyakawa
published in: Acta Mathematica
publication date: 1990-01-01T00:00:00Z
review text: The algebraic decay rates for kinetic energy of weak solution of nonsteady Navier-Stokes equations are deduced, using the properties of fractional powers of Stokes operator, for space dimensions \(>4\). The main tool is the complex interpolation theory of Banach spaces, used to obtain Sobolev imbedding theorems for domains of fractional powers. A comparison is made with the previous results for exterior domains, obtained using other methods.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 4190237
zbMATH Keywords: decay rates
zbMATH Keywords: fractional powers
zbMATH Keywords: Stokes operator
zbMATH Keywords: exterior domains
reviewed by: Gelu Paşa
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02391905
OpenAlex ID: W2076249177
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description: scientific article; zbMATH DE number 4190237