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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F09%3A10051953%21RIV11-GA0-11320___
rdf:type
skos:Concept n19:Vysledek
dcterms:description
We improve the regularity criterion for the incompressible Navier--Stokes equations in the full three-dimensional space involving the gradient of one velocity component. The method is based on recent results by Cao and Titi and Kukavica and Ziane In particular, for $s\in [2,3]$ we get that the solution is regular if $\nabla u_3 \in L^t(0,T; L^s(\R^3))$, $\frac 2t + \frac 3s \leq \frac{23}{12}$. The criteria for $s$ outside this interval are weaker. We improve the regularity criterion for the incompressible Navier--Stokes equations in the full three-dimensional space involving the gradient of one velocity component. The method is based on recent results by Cao and Titi and Kukavica and Ziane In particular, for $s\in [2,3]$ we get that the solution is regular if $\nabla u_3 \in L^t(0,T; L^s(\R^3))$, $\frac 2t + \frac 3s \leq \frac{23}{12}$. The criteria for $s$ outside this interval are weaker.
dcterms:title
On a regularity criterion for the Navier-Stokes equations involving gradient of one velocity component On a regularity criterion for the Navier-Stokes equations involving gradient of one velocity component
skos:prefLabel
On a regularity criterion for the Navier-Stokes equations involving gradient of one velocity component On a regularity criterion for the Navier-Stokes equations involving gradient of one velocity component
skos:notation
RIV/00216208:11320/09:10051953!RIV11-GA0-11320___
n3:aktivita
n6:P n6:Z
n3:aktivity
P(GA201/08/0315), P(LC06052), Z(MSM0021620839)
n3:cisloPeriodika
12
n3:dodaniDat
n9:2011
n3:domaciTvurceVysledku
n4:5216931
n3:druhVysledku
n18:J
n3:duvernostUdaju
n16:S
n3:entitaPredkladatele
n14:predkladatel
n3:idSjednocenehoVysledku
331323
n3:idVysledku
RIV/00216208:11320/09:10051953
n3:jazykVysledku
n10:eng
n3:klicovaSlova
one velocity component; Navier--Stokes equations; regularity of solutions
n3:klicoveSlovo
n15:one%20velocity%20component n15:Navier--Stokes%20equations n15:regularity%20of%20solutions
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[C22B24C033F1]
n3:nazevZdroje
Journal of Mathematical Physics
n3:obor
n13:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n7:GA201%2F08%2F0315 n7:LC06052
n3:rokUplatneniVysledku
n9:2009
n3:svazekPeriodika
50
n3:tvurceVysledku
Pokorný, Milan Zhou, Yong
n3:wos
000273223900039
n3:zamer
n12:MSM0021620839
s:issn
0022-2488
s:numberOfPages
11
n17:organizacniJednotka
11320