The asymptotic stability of the generalized 3D Navier-Stokes equations
type: Item
instance of: scholarly article
title: The asymptotic stability of the generalized 3D Navier-Stokes equations
zbMATH Open document ID: 1397.35183
DOI: 10.1155/2013/321427
author: Wen-Juan Wang
author: Yan Jia
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: We study the stability issue of the generalized 3D Navier-Stokes equations. It is shown that if the weak solution \(u\) of the Navier-Stokes equations lies in the regular class \(\nabla u\in L^p(0,\infty;B^0_{q,\infty}(\mathbb R^3))\), \((2\alpha/p)+(3/q)=2\alpha\), \(2<q<\infty\), \(0<\alpha<1\), then every weak solution \(v(x,t)\) of the perturbed system converges asymptotically to \(u(x,t)\) as \(\| v(t)-u(t)\|_{L^2}\to 0\), \(t\to\infty\).
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 6950617
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/321427
OpenAlex ID: W2170764628
Wikidata QID: Q59005393
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description: scientific article; zbMATH DE number 6950617