Regularity criteria for the Navier-Stokes equations in terms of the velocity direction and the flow of energy.

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F22%3A00359369" target="_blank" >RIV/68407700:21110/22:00359369 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/mma.8108" target="_blank" >https://doi.org/10.1002/mma.8108</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mma.8108" target="_blank" >10.1002/mma.8108</a>

Result language
angličtina
Original language name
Regularity criteria for the Navier-Stokes equations in terms of the velocity direction and the flow of energy.
Original language description
We deal with the conditional regularity of the weak solutions to the Navier-Stokes equations. We discuss a famous criterion by Vasseur extend this criterion to bounded domains with Navier and Navier-type boundary conditions. We further prove an optimal regularity criterion in terms of u⋅del|u|λ both for the whole three-dimensional space and bounded domains with Navier's, Navier-type, and Dirichlet boundary conditions.
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
—
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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