4 citations · 8 across the 5 of their papers we have counts for
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Logarithmically Improved Blow-up Criteria for a Phase Field Navier-Stokes Vesicle-Fluid Interaction Model
Jihong Zhao, Qiao Liu
In this paper, we study a hydrodynamical system modeling the deformation of vesicle membrane under external incompressible viscous flow fields. The system is in the Eulerian formul…
A regularity criterion for the solution of the nematic liquid crystal flows in terms of -norm
Qiao Liu, Jihong Zhao
In this paper, we investigate regularity criterion for the solution of the nematic liquid crystal flows in dimension three and two. We prove the solution is smooth up to ti…
Logarithmical Blow-up Criteria for the Nematic Liquid Crystal Flows
Qiao Liu, Jihong Zhao
We investigate the blow-up criterion for the local in time classical solution of the nematic liquid crystal flows in dimension two and three. More precisely, is t…
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…
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…