@article{GayBalmaz2013EquivalentTO,
title={Equivalent Theories of Liquid Crystal Dynamics},
author={F. Gay-Balmaz and T. Ratiu and C. Tronci},
journal={Archive for Rational Mechanics and Analysis},
year={2013},
volume={210},
pages={773-811}
}

There are two competing descriptions of nematic liquid crystal dynamics: the Ericksen–Leslie director theory and the Eringen micropolar approach. Up to this day, these two descriptions have remained distinct in spite of several attempts to show that the micropolar theory includes the director theory. In this paper we show that this is the case by using symmetry reduction techniques and introducing a new system that is equivalent to the Ericksen–Leslie equations and may include disclination… CONTINUE READING