Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00380310" target="_blank" >RIV/67985840:_____/12:00380310 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.crma.2012.06.008" target="_blank" >http://dx.doi.org/10.1016/j.crma.2012.06.008</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.crma.2012.06.008" target="_blank" >10.1016/j.crma.2012.06.008</a>

Result language
angličtina
Original language name
Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity
Original language description
We denote , where {E?} is the spectral resolution of identity associated with the self-adjoint operator curl in the space . Further, we denote , where v is a weak solution to the Navier?Stokes initial value problem in R3(0,T). We assume that a=a(t) is areal function in (0,T). We show that certain conditions imposed on function a and , or only on the third component of , imply regularity of solution v.
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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