The application of anisotropic Troisi inequalities to the conditional regularity for the Navier-Stokes equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00491689" target="_blank" >RIV/67985840:_____/18:00491689 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/1361-6544/aac5b1" target="_blank" >http://dx.doi.org/10.1088/1361-6544/aac5b1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1361-6544/aac5b1" target="_blank" >10.1088/1361-6544/aac5b1</a>

Result language
angličtina
Original language name
The application of anisotropic Troisi inequalities to the conditional regularity for the Navier-Stokes equations
Original language description
We derive various anisotropic versions of the Troisi inequality for the study of the conditional regularity of solutions to the Navier-Stokes equations. We impose additional conditions on one or two non-diagonal entries of the velocity gradient, namely partial derivative(1)u(3) or partial derivative(1)u(3) and partial derivative(2)u(3). Formulating our results in the frame of the anisotropic Lebesgue spaces we improve two recent results from the literature. Further we present two new criteria.
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
10101 - Pure mathematics

Project
<a href="/en/project/GA17-01747S" target="_blank" >GA17-01747S: Theory and numerical analysis of coupled problems in fluid dynamics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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