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arxiv: 1307.0986 · v1 · pith:YMIINK2Vnew · submitted 2013-07-03 · 🧮 math.AP

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

classification 🧮 math.AP
keywords derivationericksen-leslierigorousstresssystemtheoryberis-edwardscrystal
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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.

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