A refinement of the local Serrin-type regularity criterion for 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_____%2F14%3A00431406" target="_blank" >RIV/67985840:_____/14:00431406 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00205-014-0761-x" target="_blank" >http://dx.doi.org/10.1007/s00205-014-0761-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00205-014-0761-x" target="_blank" >10.1007/s00205-014-0761-x</a>

Result language
angličtina
Original language name
A refinement of the local Serrin-type regularity criterion for 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 space-time point (x0,t0). The criterion imposes a Serrin-type integrability condition on v only in a backward neighbourhood of (x0,t0), intersected with the exterior of a certain space-time paraboloid with vertex at point (x0,t0). We make no special assumptions on the solution 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/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
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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