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

被引：24

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

页码：749 / 803

页数：55

共 40 条

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