$$\bex \p_3\pi\in L^p(0,T;L^q(\bbR^3)),\quad \frac{2}{p}+\frac{3}{q}=2,\quad 3\leq q\leq \infty. \eex$$
[Papers]MHD, $\p_3\pi$, Lebesgue space [Jia-Zhou, JMAA, 2012]
2015-01-25
713
版权
版权声明：
本文内容由阿里云实名注册用户自发贡献，版权归原作者所有，阿里云开发者社区不拥有其著作权，亦不承担相应法律责任。具体规则请查看《
阿里云开发者社区用户服务协议》和
《阿里云开发者社区知识产权保护指引》。如果您发现本社区中有涉嫌抄袭的内容，填写
侵权投诉表单进行举报，一经查实，本社区将立刻删除涉嫌侵权内容。
简介：
$$\bex \p_3\pi\in L^p(0,T;L^q(\bbR^3)),\quad \frac{2}{p}+\frac{3}{q}=2,\quad 3\leq q\leq \infty. \eex$$
目录
相关文章
[Papers]MHD, $\p_3\pi$, Lebesgue space [Cao-Wu, JDE, 2010]
$$\bex \p_3\pi\in L^p(0,T;L^q(\bbR^3)),\quad \frac{2}{p}+\frac{3}{q}=\frac{12}{7},\quad \frac{12}{7}\leq q\leq 4. \eex$$
654
0
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 $$\...
762
0
0
[Papers]NSE, $u$, Lorentz space [Bosia-Pata-Robinson, JMFM, 2014]
$$\bex \bbu\in L^p(0,T;L^{q,\infty}),\quad \frac{2}{p}+\frac{3}{q}=1,\quad 3
786
0
0
[Papers]MHD, $\p_3\pi$, Lebesgue space [Zhang-Li-Yu, JMAA, 2013]
$$\bex \p_3\pi\in L^p(0,T;L^q(\bbR^3)),\quad \frac{2}{p}+\frac{3}{q}=2,\quad \frac{3}{2}\leq q\leq 3. \eex$$
609
0
0
|
Python
[Papers]NSE, $\pi$, Lorentz space [Suzuki, JMFM, 2012]
$$\bex \sen{\pi}_{L^{s,\infty}(0,T;L^{q,\infty}(\bbR^3))} \leq \ve_*, \eex$$ with $$\bex \frac{2}{s}+\frac{3}{q}=2,\quad \frac{5}{2}\leq q\leq 3.
651
0
0
|
Python
[Papers]NSE, $\pi$, Lorentz space [Suzuki, NA, 2012]
$$\bex \sen{\pi}_{L^{s,\infty}(0,T;L^{q,\infty}(\bbR^3))} \leq \ve_*, \eex$$ with $$\bex \frac{2}{s}+\frac{3}{q}=2,\quad 3< q
572
0
0
[Papers]NSE, $u$, Lorentz space [Bjorland-Vasseur, JMFM, 2011]
$$\bex \int_0^T\frac{\sen{\bbu}_{L^{q,\infty}}^p}{\ve+\ln \sex{e+\sen{\bbu}_{L^\infty}}}\rd s
640
0
0
[Papers]NSE, $u_3$, Lebesgue space [Cao-Titi, IUMJ, 2008]
$$\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}
883
0
0
[Papers]NSE, $\n u_3$, Lebesgue space, [Pokorny, EJDE, 2003; Zhou, MAA, 2002]
$$\bex \n u_3\in L^p(0,T;L^q(\bbR^3)),\quad \frac{2}{p}+\frac{3}{q}=\frac{3}{2},\quad 2\leq q\leq \infty. \eex$$
707
0
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}
733
0
0