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20112019
most citedExistence of strong solutions for the compressible Ericksen-Leslie model

13 citations · 36 across the 5 of their papers we have counts for

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5 papers

math.AP2019★ 2 cited

Liouville theorem for steady-state solutions of simplified Ericksen-Leslie system

Yihang Hao, Xiangao Liu, Xiaotao Zhang

In this paper, we investigate the steady simplified Ericksen-Leslie system. For three dimension, we obtain Liouville theorems if and satisfy the Galdi's[1] condition…

math.AP2013★ 3 cited

The existence and blow-up criterion of liquid crystals system in critical Besov space

Hao Yi-hang, Liu Xian-gao

We consider the existence of strong solution to liquid crystals system in critical Besov space,then give a criterion which is similar to Serrin's criterion on regularity of weak so…

math.AP2012★ 10 cited

Incompressible Limit of a Compressible Liquid Crystals System

Yihang Hao, Xian-gao Liu

This article is devoted to the study of the so-called incompressible limit for solutions of the compressible liquid crystals system. We consider the problem in the whole space $\ma…

math.AP2012★ 8 cited

Global Weak Solutions to a General Liquid Crystals System

Yu-ming Chu, Yi-hang Hao, Xian-gao Liu

We prove the global existence of finite energy weak solutions to the general liquid crystals system. The problem is studied in bounded domain of with Dirichlet boundary condi…

math.FA2011★ 13 cited

Existence of strong solutions for the compressible Ericksen-Leslie model

Xiangao Liu, Lanming Liu, Yihang Hao

In this paper, we prove the existence and uniqueness of local strong solutions of the hydrodynamics of nematic liquid crystals system under the initial data satisfying a natural co…