Regularity of a weak solution to the Navier--Stokes equations via one component of a spectral projection of vorticity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00428441" target="_blank" >RIV/67985840:_____/14:00428441 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1137/120874874" target="_blank" >http://dx.doi.org/10.1137/120874874</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/120874874" target="_blank" >10.1137/120874874</a>

Result language
angličtina
Original language name
Regularity of a weak solution to the Navier--Stokes equations via one component of a spectral projection of vorticity
Original language description
We deal with a suitable weak solution v to the Navier--Stokes initial value problem in R3 x (0,T). We denote by omega+ a spectral projection of omega = curl v, defined by means of the spectral resolution of identity associated with the self-adjoint operator curl. We show that certain conditions imposed on omega+ or, alternatively, only omega+3(the third component of omega+)imply regularity of solution v.
Czech name
—
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
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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