On a regularity criterion for the Navier-Stokes equations involving gradient of one velocity component

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F09%3A10051953" target="_blank" >RIV/00216208:11320/09:10051953 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

On a regularity criterion for the Navier-Stokes equations involving gradient of one velocity component

Original language 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 $sin [2,3]$ 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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Mathematical Physics

ISSN

0022-2488

e-ISSN

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Volume of the periodical

50

Issue of the periodical within the volume

12

Country of publishing house

US - UNITED STATES

Number of pages

11

Pages from-to

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UT code for WoS article

000273223900039

EID of the result in the Scopus database

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