Vorticity directions 1: self-improving property of the vorticity

在 [Li, Siran. "On Vortex Alignment and Boundedness of $ L^ q $ Norm of Vorticity." arXiv preprint arXiv:1712.00551 (2017)] 中, 作者证明了
$$serdm{|sin angle(om(x,t),om(y,t))|leq C|x-y|^e\ omin L^q(bR^3 imes (0,T))} a om in L^infty(0,T;L^q(bR^3)),$$
其中 $q>f{5}{3}, ein sez{maxsed{0,f{5}{q}-2},1}.$