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math.AP2011
A Beale--Kato--Majda criterion for the 3-D Compressible Nematic Liquid Crystal Flows with Vacuum
Qiao Liu, Shangbin Cui
In this paper, we prove a Beale--Kato--Majda blow-up criterion in terms of the gradient of the velocity only for the strong solution to the 3-D compressible nematic liquid crystal…
math.AP2011
Existence of Solutions for the Debye-Hückel System with Low Regularity Initial Data
Jihong Zhao, Qiao Liu, Shangbin Cui
In this paper we study existence of solutions for the Cauchy problem of the Debye-Hückel system with low regularity initial data. By using the Chemin-Lerner time-space estimate for…
math.AP2011★ 1 cited
Global Existence and Stability for a Hydrodynamic System in the Nematic Liquid Crystal Flows
Jihong Zhao, Qiao Liu, Shangbin Cui
In this paper we consider a coupled hydrodynamical system which involves the Navier-Stokes equations for the velocity field and kinematic transport equations for the molecular orie…