The end-point regularity criterion for the Navier-Stokes equations interms of partial_3 u.

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F20%3A00346977" target="_blank" >RIV/68407700:21110/20:00346977 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.nonrwa.2020.103120" target="_blank" >https://doi.org/10.1016/j.nonrwa.2020.103120</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.nonrwa.2020.103120" target="_blank" >10.1016/j.nonrwa.2020.103120</a>

Result language
angličtina
Original language name
The end-point regularity criterion for the Navier-Stokes equations interms of partial_3 u.
Original language description
We show the following extension of the recent optimal regularity results by Kukavica & Ziane, Cao and Zhang: If $u$ is a solution of the Navier-Stokes equations in the whole space $mathbb{R}^3$ and $partial_3 u in L^p(0,T;L^q(mathbb{R}^3))$, $T>0$, where $2/p+3/q=2$ and $q in (3/2,3]$, then $u$ is regular on $(0,T]$
Czech name
—
Czech description
—

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
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)