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Statements

Subject Item

n2:RIV%2F68407700%3A21110%2F14%3A00227613%21RIV15-MSM-21110___

rdf:type

n9:Vysledek skos:Concept

dcterms:description

We improve a regularity criterion for the solutions to the Navier-Stokes equations in the full three-dimensional space involving the gradient of one velocity component. Revising the method used in cite{PoZh} and cite{PoZh2}, we show that a weak solution $u$ is regular on $(0,T)$ provided that $nabla u_3 in L^t(0,T;L^s)$, where $2/t+3/s = 19/10$ for $s in [30/19,10/3]$ and $2/t+3/s = 7/4+1/(2s)$ for $s in [10/3,infty]$. It improves the known results for $s in [30/19,150/77)$ and $s in (10/3,infty]$ We improve a regularity criterion for the solutions to the Navier-Stokes equations in the full three-dimensional space involving the gradient of one velocity component. Revising the method used in cite{PoZh} and cite{PoZh2}, we show that a weak solution $u$ is regular on $(0,T)$ provided that $nabla u_3 in L^t(0,T;L^s)$, where $2/t+3/s = 19/10$ for $s in [30/19,10/3]$ and $2/t+3/s = 7/4+1/(2s)$ for $s in [10/3,infty]$. It improves the known results for $s in [30/19,150/77)$ and $s in (10/3,infty]$

dcterms:title

On the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component On the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component

skos:prefLabel

On the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component On the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component

skos:notation

RIV/68407700:21110/14:00227613!RIV15-MSM-21110___

n3:aktivita

n17:I

n3:aktivity

I

n3:cisloPeriodika

červenec

n3:dodaniDat

n6:2015

n3:domaciTvurceVysledku

n11:7634439

n3:druhVysledku

n4:J

n3:duvernostUdaju

n14:S

n3:entitaPredkladatele

n13:predkladatel

n3:idSjednocenehoVysledku

34503

n3:idVysledku

RIV/68407700:21110/14:00227613

n3:jazykVysledku

n12:eng

n3:klicovaSlova

Navier-Stokes equations; regularity criteria

n3:klicoveSlovo

n8:Navier-Stokes%20equations n8:regularity%20criteria

n3:kodStatuVydavatele

NL - Nizozemsko

n3:kontrolniKodProRIV

[049C593407BD]

n3:nazevZdroje

Nonlinear Analysis: Theory, Methods & Applications

n3:obor

n15:BA

n3:pocetDomacichTvurcuVysledku

1

n3:pocetTvurcuVysledku

1

n3:rokUplatneniVysledku

n6:2014

n3:svazekPeriodika

104

n3:tvurceVysledku

Skalák, Zdeněk

n3:wos

000335009200007

s:issn

0362-546X

s:numberOfPages

6

n18:doi

10.1016/j.na.2014.03.018

n10:organizacniJednotka

21110