Regularity criteria for weak solutions to the Navier-Stokes equations in terms of spectral projections of vorticity and velocity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00562011" target="_blank" >RIV/67985840:_____/22:00562011 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00021-022-00728-w" target="_blank" >https://doi.org/10.1007/s00021-022-00728-w</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00021-022-00728-w" target="_blank" >10.1007/s00021-022-00728-w</a>

Result language
angličtina
Original language name
Regularity criteria for weak solutions to the Navier-Stokes equations in terms of spectral projections of vorticity and velocity
Original language description
We deal with a weak solution v to the Navier-Stokes initial value problem in R-3 x (0, T), that satisfies the strong energy inequality. We impose conditions on certain spectral projections of omega:= curly or just v, and we prove the regularity of solution v. The spectral projection is defined by means of the spectral resolution of identity associated with the self-adjoint operator curl.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA22-01591S" target="_blank" >GA22-01591S: Mathematical theory and numerical analysis for equations of viscous newtonian compressible fluids</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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