Regularity of a Weak Solution to the Navier-Stokes Equations via One Component of a Spectral Projection of Vorticity

Jiri Neustupa, Patrick Penel

We deal with a weak solution v to the Navier-Stokes initial value problem in R^3 x(0,T). We denote by ω^+ a spectral projection of ω=\curl\, v, defined by means of the spectral res…