The vanishing viscosity limit of statistical solutions of the Navier- Stokes equations. II: The general case
type: Item
instance of: scholarly article
title: The vanishing viscosity limit of statistical solutions of the Navier- Stokes equations. II: The general case
zbMATH Open document ID: 0732.35070
DOI: 10.1016/0022-247X(91)90013-P
published in: Journal of Mathematical Analysis and Applications
publication date: 1991-01-01T00:00:00Z
review text: [for part I see the preceding review.] The work is a continuation of Part I. Here the author studies the family of statistical solutions \(P^{\epsilon}_ t\) in the 3-dimensional domain and obtains only weak convergence in the limit (\(\epsilon \to 0)\). The weak limit is proved to be a measure valued solution of the Euler equations.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 4210681
zbMATH Keywords: viscosity
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: statistical solutions
author: Dongho Chae
MaRDI profile type: Publication
cites work: Q4073917
cites work: Q4121569
cites work: The vanishing viscosity limit of statistical solutions of the Navier- Stokes equations. I: 2-D periodic case
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cites work: Mathematical Problems of Statistical Hydromechanics
full work available at URL: 0022-247x(91)90013-p
OpenAlex ID: W2001227996
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description: scientific article; zbMATH DE number 4210681