A note on the generalized energy inequality in the Navier-Stokes equations.
type: Item
instance of: scholarly article
title: A note on the generalized energy inequality in the Navier-Stokes equations.
zbMATH Open document ID: 1099.35099
DOI: 10.1023/B:APOM.0000024492.23444.29
author: Petr Kučera
author: Zdeněk Skalák
published in: Applications of Mathematics
publication date: 2006-11-21T00:00:00Z
full work available at URL: https://eudml.org/doc/33166
review text: The authors prove the existence of a suitable weak solution such that the generalized energy inequality is satisfied for all non-negative smooth test functions. The usual definition requires that the test functions must have compact support. The construction is based on a special approximation which provides smooth solutions and thus the solution itself is an acceptable test function for the approximate problem.
reviewed by: Milan Pokorný
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 5074705
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: suitable weak solution
zbMATH Keywords: generalized energy inequality
MaRDI profile type: Publication
cites work: Partial regularity of suitable weak solutions of the navier-stokes equations
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cites work: Q4828835
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description: scientific article; zbMATH DE number 5074705