"350" . . "10.1016/j.crma.2012.06.008" . . . "We denote , where {E\u03BB} 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\u2013Stokes initial value problem in R3(0,T). We assume that a=a(t) is a real 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." . "Comptes Rendus Mathematique" . "Neustupa, Ji\u0159\u00ED" . . . "Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity"@en . "RIV/67985840:_____/12:00380310" . "6"^^ . . "FR - Francouzsk\u00E1 republika" . . . "1631-073X" . "[8110EAFEEA8F]" . "11-12" . . "000310124700011" . "Navier-Stokes equations; weak solution; regularity"@en . . "I, P(GA201/08/0012)" . . "Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity" . . "2"^^ . "Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity" . . "RIV/67985840:_____/12:00380310!RIV13-AV0-67985840" . . . "We denote , where {E\u03BB} 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\u2013Stokes initial value problem in R3(0,T). We assume that a=a(t) is a real 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."@en . "1"^^ . "Penel, P." . . . "164687" . "Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity"@en .