13 citations · 58 across the 8 of their papers we have counts for
8 papers
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…
Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum
Huajun Gong, Jinkai Li, Xian-Gao Liu +1
In this paper, the local well-posedness of strong solutions to the Cauchy problem of the isentropic compressible Navier-Stokes equations is proved with the initial date being allow…
A Gaussian upper bound of the conjugate heat equation along an extended Ricci flow
Xian-Gao Liu, Kui Wang
In this paper, we derive a Sobolev inequality along an extended Ricci flow and prove a point-wise Guassian type bound for the fundamental solutions of the conjugate heat equation u…
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…
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…
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…
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…
A blow-up criterion for the compressible liquid crystals system
Xiangao Liu, Lanming Liu
In this paper, we establish a blow-up criterion for the compressible liquid crystals equations in terms of the gradient of the velocity only, similar to the Beale-Kato-Majda criter…