On generalized energy equality of the Navier-Stokes equations
type: Item
instance of: scholarly article
title: On generalized energy equality of the Navier-Stokes equations
zbMATH Open document ID: 0896.35106
DOI: 10.1007/BF02677860
author: Yasushi Taniuchi
published in: Manuscripta Mathematica
publication date: 1998-03-30T00:00:00Z
full work available at URL: https://eudml.org/doc/156345
review text: The author proves that there exists a weak solution of the Navier-Stokes equations satisfying certain generalized energy inequality, for every initial data \(a\in L^2(\Omega)\). Then, he investigates the class of weak solutions which fulfill both the usual and the generalized energy equalities.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 1135246
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: generalized energy inequality
reviewed by: Valeriu Al. Sava
MaRDI profile type: Publication
cites work: \(L^ 2\) decay for the Navier-Stokes flow in halfspaces
cites work: On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
cites work: Partial regularity of suitable weak solutions of the navier-stokes equations
cites work: Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
cites work: Q4167065
cites work: Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
cites work: Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
cites work: Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
cites work: Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
cites work: On the stability of incompressible viscous fluid motions past objects
cites work: On nonstationary solutions of the Navier-Stokes equations in an exterior domain
cites work: On energy inequality, smoothness and large time behavior in L 2 for weak solutions of the Navier-Stokes equations in exterior domains
cites work: Q5723392
cites work: Partial regularity of solutions to the Navier-Stokes equations
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description: scientific article; zbMATH DE number 1135246