The finite-dimensional uniform attractors for the nonautonomous \(g\)-Navier-Stokes equations
type: Item
instance of: scholarly article
title: The finite-dimensional uniform attractors for the nonautonomous \(g\)-Navier-Stokes equations
zbMATH Open document ID: 1417.35097
DOI: 10.1155/2009/150420
author: Delin Wu
published in: Journal of Applied Mathematics
publication date: 2009-11-10T00:00:00Z
review text: Summary: We consider the uniform attractors for the two dimensional nonautonomous g-Navier-Stokes equations in bounded domain \(\Omega\). Assuming \(f=f(x,t)\in L_{\text{loc}}^{2}\), we establish the existence of the uniform attractor in \(L^{2}(\Omega )\) and \(D(A^{1/2})\). The fractal dimension is estimated for the kernel sections of the uniform attractors obtained.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35B41
zbMATH DE Number: 5628309
Wikidata QID: Q58648635
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2009/150420
OpenAlex ID: W2011198677
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description: scientific article; zbMATH DE number 5628309