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Rigorous uniaxial limit of the Qian--Sheng inertial Q-tensor hydrodynamics for liquid crystals
Sirui Li, Wei Wang, Qi Zeng
This article is concerned with the rigorous connections between the inertial Qian--Sheng model and the Ericksen--Leslie model for the liquid crystal flow, under a more general cond…
Uniqueness of global weak solutions to the frame hydrodynamics for biaxial nematic phases in
Sirui Li, Chenchen Wang, Jie Xu
We consider the hydrodynamics for biaxial nematic phases described by a field of orthonormal frame, which can be derived from a molecular-theory-based tensor model. We prove the un…
Rigorous biaxial limit of a molecular-theory-based two-tensor hydrodynamics
Sirui Li, Jie Xu
We consider a two-tensor hydrodynamics derived from the molecular model, where high-order tensors are determined by closure approximation through the maximum entropy state or the q…
Local well-posedness and small Deborah limit of a molecule-based -tensor system
Sirui Li, Wei Wang, Pingwen Zhang
In this paper, we consider a hydrodynamic -tensor system for nematic liquid crystal flow, which is derived from Doi-Onsager molecular theory by the Bingham closure. We first pro…