[Papers]MHD, $\p_3\pi$, Lebesgue space [Jia-Zhou, JMAA, 2012]

简介: $$\bex \p_3\pi\in L^p(0,T;L^q(\bbR^3)),\quad \frac{2}{p}+\frac{3}{q}=2,\quad 3\leq q\leq \infty. \eex$$

$$\bex \p_3\pi\in L^p(0,T;L^q(\bbR^3)),\quad \frac{2}{p}+\frac{3}{q}=2,\quad 3\leq q\leq \infty. \eex$$

目录
相关文章
[Papers]MHD, $\p_3\pi$, Lebesgue space [Cao-Wu, JDE, 2010]
$$\bex \p_3\pi\in L^p(0,T;L^q(\bbR^3)),\quad \frac{2}{p}+\frac{3}{q}=\frac{12}{7},\quad \frac{12}{7}\leq q\leq 4. \eex$$
632 0
[Papers]MHD, $\pi$, Lorentz space [Suzuki, DCDSA, 2011]
$$\bex \sen{\pi}_{L^{s,\infty}(0,T;L^{q,\infty}(\bbR^3))} +\sen{{\bf b}}_{L^{\gamma,\infty}(0,T;L^{\tt,\infty}(\bbR^3))}^2\leq \ve_*, \eex$$ with $$\...
727 0
[Papers]MHD, $\p_3\pi$, Lebesgue space [Zhang-Li-Yu, JMAA, 2013]
$$\bex \p_3\pi\in L^p(0,T;L^q(\bbR^3)),\quad \frac{2}{p}+\frac{3}{q}=2,\quad \frac{3}{2}\leq q\leq 3. \eex$$
593 0
[Papers]NSE, $u$, Lorentz space [Bosia-Pata-Robinson, JMFM, 2014]
$$\bex \bbu\in L^p(0,T;L^{q,\infty}),\quad \frac{2}{p}+\frac{3}{q}=1,\quad 3
765 0
[Papers]NSE, $u_3$, Lebesgue space [Cao-Titi, IUMJ, 2008]
$$\bex u_3\in L^p(0,T;L^q(\bbR^3)),\quad \frac{2}{p}+\frac{3}{q}=\frac{2}{3}+\frac{2}{3q},\quad \frac{7}{2}
835 0
[Papers]NSE, $u_3$, Lebesgue space [Zhou-Pokorny, Nonlinearity, 2009]
$$\bex u_3\in L^p(0,T;L^q(\bbR^3)),\quad \frac{2}{p}+\frac{3}{q}=\frac{3}{4}+\frac{1}{2q},\quad \frac{10}{3}
578 0
[Papers]NSE, $\p_3u$, Lebesgue space [Cao, DCDSA, 2010]
$$\bex \p_3\bbu\in L^p(0,T;L^q(\bbR^3)),\quad \frac{2}{p}+\frac{3}{q}=2,\quad \frac{27}{16}\leq q\leq \frac{5}{2}. \eex$$
751 0
[Papers]NSE, $u_3$, Lebesgue space [Kukavica-Ziane, Nonlinearity, 2006]
$$\bex u_3\in L^p(0,T;L^q(\bbR^3)),\quad \frac{2}{p}+\frac{3}{q}=\frac{5}{8},\quad \frac{24}{5}
708 0
[Papers]NSE, $u_3$, Lebesgue space [Jia-Zhou, NARWA, 2014]
$$\bex u_3\in L^\infty(0,T;L^\frac{10}{3}(\bbR^3)). \eex$$
690 0