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

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.

23 pages, 1 figure

References in corpus (2)

• Introduction to Q-tensor theory
• The small Deborah number limit of the Doi-Onsager equation to the Ericksen-Leslie equation

Cited by in corpus (3)

• Recent developments of analysis for hydrodynamic flow of nematic liquid crystals
• Global well-posedness for the dynamical Q-tensor model of liquid crystals
• Rigorous derivation from Landau-de Gennes theory to Ericksen-Leslie theory