One component optimal regularity for the Navier–Stokes equations with almost zero differentiability degree

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F19%3A00338570" target="_blank" >RIV/68407700:21110/19:00338570 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.aml.2019.05.001" target="_blank" >https://doi.org/10.1016/j.aml.2019.05.001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aml.2019.05.001" target="_blank" >10.1016/j.aml.2019.05.001</a>

Result language
angličtina
Original language name
One component optimal regularity for the Navier–Stokes equations with almost zero differentiability degree
Original language description
We study the conditional regularity for the incompressible Navier–Stokes equations in the whole three dimensional space in terms of one component $u_3$ of the velocity field $u=(u_1,u_2,u_3)$. The criterion possesses two substantial properties: it is almost optimal from the scaling point of view and does not almost require any information on the derivative of $u_3$. The relation of the presented criterion to the kin criteria published in the literature is discussed throughout the paper.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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