119 citations · 773 across the 45 of their papers we have counts for
5 papers · 1 filter
Dynamics of the Nematic-Isotropic sharp interface for the liquid crystal
Mingwen Fei, Wei Wang, Pingwen Zhang +1
In this paper, we derive the sharp interface model of the nematic-isotropic phase transition from the Landau-de Gennes theory by using the matched asymptotic expansion method. The…
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…
On a molecular based Q-tensor model for liquid crystals with density variations
Song Mei, Pingwen Zhang
In this article, we study the new Q-tensor model previously derived from Onsager's molecular theory by Han \textit{et al.} [Arch. Rational Mech. Anal., 215.3 (2014), pp. 741-809] f…
On the Disclination Lines of Nematic Liquid Crystals
Yucheng Hu, Yang Qu, Pingwen Zhang
Defects in liquid crystals are of great practical importance and theoretical interest. Despite tremendous efforts, predicting the location and transition of defects under various t…
A tensor model for nematic phases of bent-core molecules based on molecular theory
Jie Xu, Fangfu Ye, Pingwen Zhang
We construct a tensor model for nematic phases of bent-core molecules from molecular theory. The form of free energy is determined by molecular symmetry, which includes the couplin…