Suitable Weak Solutions for the Co-rotational Beris-Edwards System in Dimension Three

被引：23
作者：
Du, Hengrong [1 ]
Hu, Xianpeng [2 ]
Wang, Changyou [1 ]
机构：
[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
[2] City Univ Hong Kong, Dept Math, Hong Kong, Peoples R China
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2020年 / 238卷 / 02期
基金：
美国国家科学基金会;
关键词：
NEMATIC LIQUID-CRYSTALS; Q-TENSOR SYSTEM; NAVIER-STOKES; PARTIAL REGULARITY; WELL-POSEDNESS; FLOW; UNIQUENESS; EXISTENCE; FLUID;
D O I：
10.1007/s00205-020-01554-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish the global existence of a suitable weak solution to the co-rotational Beris-Edwards Q-tensor system modeling the hydrodynamic motion of nematic liquid crystals with either Landau-De Gennes bulk potential in R-3 or Ball-Majumdar bulk potential in T-3, a system coupling the forced incompressible Navier-Stokes equation with a dissipative, parabolic system of Q-tensor Q in R-3, which is shown to be smooth away from a closed set Sigma whose 1-dimensional parabolic Hausdorff measure is zero.
引用
收藏
页码：749 / 803
页数：55
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