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From microscopic theory to macroscopic theory: dynamics of the rod-like liquid crystal molecules

Research paper by Wei Wang, Pingwen Zhang, Zhifei Zhang

Indexed on: 21 May '13Published on: 21 May '13Published in: Mathematics - Analysis of PDEs



Abstract

Starting from Doi-Onsager equation for the liquid crystal, we ?rst derive the Q-tensor equation by the Bingham closure. Then we derive the Ericksen-Leslie equation from the Q-tensor equation by taking the small Deborah number limit.