A note on local interior regularity of a suitable weak solution to the Navier--Stokes problem

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F13%3A00393065" target="_blank" >RIV/67985840:_____/13:00393065 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3934/dcdss.2013.6.1391" target="_blank" >http://dx.doi.org/10.3934/dcdss.2013.6.1391</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdss.2013.6.1391" target="_blank" >10.3934/dcdss.2013.6.1391</a>

Result language
angličtina
Original language name
A note on local interior regularity of a suitable weak solution to the Navier--Stokes problem
Original language description
We formulate a criterion which guarantees a local regularity of a suitable weak solution v to the Navier--Stokes equations (in the sense of L. Caffarelli, R. Kohn and L. Nirenberg [3]). The criterion shows that if (x 0 ,t 0 ) is a singular point of solution v then the L 3 --norm of v concentrates in an amount greater than or equal to some ?>0 in an arbitrarily small neighbourhood of x 0 at all times t in some left neighbourhood of t 0 . As a partial result, we prove that a localized solution satisfies the strong energy inequality.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA13-00522S" target="_blank" >GA13-00522S: Qualitative analysis and numerical solution of problems of flows in generally time-dependent domains with various boundary conditions</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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