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

$$\bex u_3\in L^p(0,T;L^q(\bbR^3)),\quad \frac{2}{p}+\frac{3}{q}=\frac{2}{3}+\frac{2}{3q},\quad \frac{7}{2}<q\leq \infty. \eex$$