The local regularity conditions for the Navier-Stokes equations via one directional derivative of the velocity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F22%3A00359374" target="_blank" >RIV/68407700:21110/22:00359374 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s10986-022-09573-w" target="_blank" >https://doi.org/10.1007/s10986-022-09573-w</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10986-022-09573-w" target="_blank" >10.1007/s10986-022-09573-w</a>

Result language
angličtina
Original language name
The local regularity conditions for the Navier-Stokes equations via one directional derivative of the velocity
Original language description
We study the local regularity of solutions to the Navier-Stokes equations. We show for a suitable weak solution (u, p) on an open space-time domain D that if partial derivative(3)u is an element of (LtLxq)-L-p(D), where 2/ p + 3/q = 2 and q is an element of (27/16, 5/2), then the solution is regular in D.
Czech name
—
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
—
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
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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