Besov space regularity conditions for weak solutions of the Navier-Stokes equations
type: Item
instance of: scholarly article
title: Besov space regularity conditions for weak solutions of the Navier-Stokes equations
zbMATH Open document ID: 1291.35177
author: Reinhard Farwig
author: Hermann Sohr
author: Werner Varnhorn
published in: Journal of Mathematical Fluid Mechanics
publication date: 2014-06-16T00:00:00Z
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 6304577
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: weak solutions
zbMATH Keywords: Besov space type conditions
zbMATH Keywords: local right-side regularity
zbMATH Keywords: regularity
zbMATH Keywords: uniqueness
MaRDI profile type: Publication
full work available at URL: s00021-013-0154-1
OpenAlex ID: W2003295682
cites work: Q4429175
cites work: Local in time regularity properties of the Navier-Stokes equations
cites work: On optimal initial value conditions for local strong solutions of the Navier-Stokes equations
cites work: Extensions of Serrin's uniqueness and regularity conditions for the Navier-Stokes equations
cites work: Q4292463
cites work: Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
cites work: Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
cites work: Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
cites work: Q4400861
cites work: REMARK ON UNIQUENESS OF WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS
cites work: L 3,∞-solutions to the 3D-Navier-Stokes system in a domain with a curved boundary
cites work: On smoothness of \(L_{3,\infty}\)-solutions to the Navier-Stokes equations up to boundary
cites work: Q2743226
cites work: A regularity class for the Navier-Stokes equations in Lorentz spaces
cites work: Q4163866
cites work: Q4169288
DOI: 10.1007/S00021-013-0154-1
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description: scientific article; zbMATH DE number 6304577