About: Regularity of a weak solution to the Navier--Stokes equations via one component of a spectral projection of vorticity     Goto   Sponge   NotDistinct   Permalink

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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.
  • 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. (en)
Title
  • Regularity of a weak solution to the Navier--Stokes equations via one component of a spectral projection of vorticity
  • Regularity of a weak solution to the Navier--Stokes equations via one component of a spectral projection of vorticity (en)
skos:prefLabel
  • Regularity of a weak solution to the Navier--Stokes equations via one component of a spectral projection of vorticity
  • Regularity of a weak solution to the Navier--Stokes equations via one component of a spectral projection of vorticity (en)
skos:notation
  • RIV/67985840:_____/14:00428441!RIV15-GA0-67985840
http://linked.open...avai/riv/aktivita
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  • I, P(GA13-00522S)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 41912
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  • RIV/67985840:_____/14:00428441
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  • Navier-Stokes equations; weak solution; regularity criteria (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [288447751EC9]
http://linked.open...i/riv/nazevZdroje
  • SIAM Journal on Mathematical Analysis
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 46
http://linked.open...iv/tvurceVysledku
  • Neustupa, Jiří
  • Penel, P.
http://linked.open...ain/vavai/riv/wos
  • 000335818400025
issn
  • 0036-1410
number of pages
http://bibframe.org/vocab/doi
  • 10.1137/120874874
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