Global well-posedness and long time decay of fractional Navier-Stokes equations in Fourier-Besov spaces
type: Item
instance of: scholarly article
title: Global well-posedness and long time decay of fractional Navier-Stokes equations in Fourier-Besov spaces
zbMATH Open document ID: 1472.35273
DOI: 10.1155/2014/463639
author: Weiliang Xiao
author: Jiecheng Chen
author: Xuhuan Zhou
author: Dashan Fan
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We study the Cauchy problem of the fractional Navier-Stokes equations in critical Fourier-Besov spaces \(F \dot{B}_{p, q}^{1 - 2 \beta + 3 / p'}\). Some properties of Fourier-Besov spaces have been discussed, and we prove a general global well-posedness result which covers some recent works in classical Navier-Stokes equations. Particularly, our result is suitable for the critical case \(\beta = 1 / 2\). Moreover, we prove the long time decay of the global solutions in Fourier-Besov spaces.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7022430
zbMATH Keywords: fractional Navier-Stokes equations
Wikidata QID: Q59038454
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/463639
OpenAlex ID: W2027437127
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description: scientific article; zbMATH DE number 7022430