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

Published 21 May 2013 in math.AP | (1305.4721v1)

Abstract: Starting from Doi-Onsager equation for the liquid crystal, we first 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.

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