[Papers]NSE, $u_3$, Lebesgue space [Cao-Titi, IUMJ, 2008]

$$ex u_3in L^p(0,T;L^q(bR^3)),quad frac{2}{p}+frac{3}{q}=frac{2}{3}+frac{2}{3q},quad frac{7}{2}<qleq infty. eex$$