GLOBAL WELL-POSEDNESS TO INCOMPRESSIBLE NON-INERTIAL QIAN-SHENG MODEL

被引：6

作者：

Ma, Yangjun ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2020年 / 40卷 / 07期

关键词：

Incompressible non-inertial Qian-Sheng model; Q-tensor; local and global well-posedness; a priori estimates; Parodi's relation; LIQUID; EXISTENCE; EQUATIONS;

D O I：

10.3934/dcds.2020187

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the incompressible non-inertial Qian-Sheng model, which describes the hydrodynamics of nematic liquid crystals without inertial effect in the Q-tensor framework. Under some proper assumptions on the viscous coefficients, we prove the local well-posedness with large initial data and the global existence with small size of the initial data in the classical solutions regime.

引用

页码：4479 / 4496

页数：18

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