Rigorous derivation from Landau-de Gennes theory to Ericksen-Leslie theory

Abstract

Starting from Beris-Edwards system for the liquid crystal, we present a rigorous derivation of Ericksen-Leslie system with general Ericksen stress and Leslie stress by using the Hilbert expansion method.

26 pages

References in corpus (4)

• Regularity and existence of global solutions to the Ericksen-Leslie system in ${\mathbb{R}}^2$
• The small Deborah number limit of the Doi-Onsager equation to the Ericksen-Leslie equation
• From microscopic theory to macroscopic theory: dynamics of the rod-like liquid crystal molecules
• Global existence of weak solution for the 2-D Ericksen-Leslie system

Cited by in corpus (1)

• Recent developments of analysis for hydrodynamic flow of nematic liquid crystals