Concerning the regularity of the solutions to the Navier-Stokes equations via the truncation method; Part I
type: Item
instance of: scholarly article
title: Concerning the regularity of the solutions to the Navier-Stokes equations via the truncation method; Part I
zbMATH Open document ID: 0940.35154
published in: Differential and Integral Equations
publication date: 2000-05-22T00:00:00Z
review text: A new class of uniqueness for weak solutions of incompressible Navier-Stokes equations is discovered. Namely, if \(v\) and \(p\) denote velocity and pressure, respectively, then it is the set of all couples \((v,p)\) such that there exists \(k\in [0,\infty)\) for which \(|p|(1+|v|)^{-1}\in L^r(0,T;L^q(\{ x: |v(x,t)|>k\}))\). Here \(2r^{-1}+nq^{-1}=1\) with \(q\in (n,\infty ], n\) being the number of space variables, and \(T>0\) is any time of existence for the weak solution (which is known to exist globally).
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35D10
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 1450174
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: weak solutions
zbMATH Keywords: class of uniqueness
author: H. Beirão da Veiga
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1450174