A regularity criterion for the Navier-Stokes equations based on the gradient of one velocity component

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985874%3A_____%2F16%3A00457499" target="_blank" >RIV/67985874:_____/16:00457499 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jmaa.2016.01.023" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2016.01.023</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2016.01.023" target="_blank" >10.1016/j.jmaa.2016.01.023</a>

Result language
angličtina
Original language name
A regularity criterion for the Navier-Stokes equations based on the gradient of one velocity component
Original language description
We show that if uis a Leray solution to the Navier–Stokes equations in the full three-dimensional space with an initial condition from W1,2 0,σ, T>0and u ∈Lt (0, T; Ls), where 2/t +3/s =59/30for s ∈(2, 30/13]and 2/t +3/s =7/4 +1/(2s)for s ∈(30/13, 3)then uis regular on (0, T). We prove our result as a special case of a more general method which might possibly bring a further improvement.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BK - Liquid mechanics
OECD FORD branch
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Project
<a href="/en/project/GA14-02067S" target="_blank" >GA14-02067S: Advanced methods for flow-field analysis</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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