Navier-Stokes equations: regularity criteria in terms of the derivatives of several fundamental quantities along the streamlines-the case of a bounded domain
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F22%3A00365202" target="_blank" >RIV/68407700:21110/22:00365202 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1088/1361-6544/ac8e4c" target="_blank" >https://doi.org/10.1088/1361-6544/ac8e4c</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1361-6544/ac8e4c" target="_blank" >10.1088/1361-6544/ac8e4c</a>
Alternative languages
Result language
angličtina
Original language name
Navier-Stokes equations: regularity criteria in terms of the derivatives of several fundamental quantities along the streamlines-the case of a bounded domain
Original language description
In this paper we deal with the conditional regularity of the weak solutions of the Navier-Stokes equations on a bounded domain endowed with Navier boundary conditions, Navier-type boundary conditions or Dirichlet boundary conditions. We prove the regularity criteria which are based on the directional derivatives of several fundamental quantities along the streamlines, namely the velocity magnitude, the kinetic energy, the pressure, the velocity field and the Bernoulli pressure. In striking contrast to the known criteria in which the mentioned quantities were differentiated along a fixed vector, our criteria are mostly optimal for the whole range of parameters and have a clear physical meaning.
Czech name
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Czech description
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Classification
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
Result continuities
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)
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Nonlinearity
ISSN
0951-7715
e-ISSN
1361-6544
Volume of the periodical
35
Issue of the periodical within the volume
11
Country of publishing house
GB - UNITED KINGDOM
Number of pages
23
Pages from-to
5880-5902
UT code for WoS article
000869335600001
EID of the result in the Scopus database
2-s2.0-85140063818