On The Eringen Model For Nematic Liquid Crystals

Gregory A. Chechkin,Tudor S. Ratiu,Maxim S. Romanov

COMPTES RENDUS MECANIQUE（2021）

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摘要

We introduce the three-dimensional Eringen system of equations for the nematodynamics of liquid crystals, announce the short time existence and uniqueness of strong solutions for the one-dimensional problem in the periodic case, and show the continuous dependence of the solution on the initial data.

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关键词

Liquid crystals, Eringen equations, Nematodynamics, Existence and uniqueness, Conservation laws, Micromomentum of molecules, Local solution

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