[Papers]NSE, $u_3$, Lebesgue space [NNP, QM, 2002; Zhou, JMPA, 2005]
$$\bex u_3\in L^p(0,T;L^q(\bbR^3)),\quad \frac{2}{p}+\frac{3}{q}=\frac{1}{2},\quad 6< q\leq \infty. \eex$$
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