A removable singularity in a suitable weak solution to the Navier?Stokes equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00376827" target="_blank" >RIV/67985840:_____/12:00376827 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/0951-7715/25/6/1695" target="_blank" >http://dx.doi.org/10.1088/0951-7715/25/6/1695</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/0951-7715/25/6/1695" target="_blank" >10.1088/0951-7715/25/6/1695</a>

Result language
angličtina
Original language name
A removable singularity in a suitable weak solution to the Navier?Stokes equations
Original language description
We formulate a new criterion for regularity of a suitable weak solution v to the Navier-Stokes equations at the point (x_0,t_0). We show that it is sufficient to impose conditions on the Serrin-type integrability of v and the associated pressure p in a parabolic neighbourhood of (x_0,t_0), intersected with the exterior of certain space-time paraboloid with the vertex at point (x_0,t_0). We make no special assumptions on v or p in the interior of the paraboloid.
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
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Project
<a href="/en/project/GA201%2F08%2F0012" target="_blank" >GA201/08/0012: Qualitative analysis and numerical solution of flow problems</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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