摘要
该文将证明,即使初始密度在Ω中没有正下界,二维向列液晶流体存在半强解.该文主要的新颖点在于新估计||аtd||_(L4/3)(I,L^2(Ω))不依赖于p的下界,其中d及ρ分别表示流体的密度与分子方向.
In this paper, we show the existence of semi-strong solutions to hydrodynamic flow of the two-dimensional nematic liquid crystals with small initial data, even though the initial density does not possess the positive lower bound in Ω. The main novelty of the paper lies in the fact that our new estimate of ｜｜（a）td｜｜L4/3（I,L2（Ω）） is independent of the lower-bound of p, where d and p represent the director of the molecules and the density of the fluid, respectively.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2014年第2期367-377,共11页
Acta Mathematica Scientia
基金
中央高校科研基金(11QZR18)
华侨大学高层次人才科研基金(12BS232)
国家自然科学基金(11101044
11271051)资助
