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Global strong solutions to the frame hydrodynamics for biaxial nematic phases
Minjiang Feng, Sirui Li, Qi Zeng
In this article, we consider the frame hydrodynamics of biaxial nematic phases, a coupled system between the evolution of the orthonormal frame and the Navier--Stokes equation, whi…
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…
Well-posedness of frame hydrodynamics for biaxial nematic liquid crystals
Sirui Li, Chenchen Wang, Jie Xu
We consider the hydrodynamics for the biaxial nematic phase characterized by a field of orthonormal frame, which can be derived from a molecular-theory-based tensor model. In dimen…
Rigorous justification of the uniaxial limit from Qian-Sheng's inertial -tensor theory to the Ericksen-Leslie theory
Sirui Li, Wei Wang
In this paper, we rigorously justify the connection between Qian-Sheng's inertial -tensor model and the full Ericksen-Leslie model for the liquid crystal flow. By using the Hilb…
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…