Publication

Euler-Poincare Approaches to Nematodynamics

Tudor Ratiu, François Gay-Balmaz, Cesare Tronci
2012
Journal Articles

Abstract

Nematodynamics is the orientation dynamics of flowless liquid-crystals. We show how Euler-Poincar, reduction produces a unifying framework for various theories, including Ericksen-Leslie, Luhiller-Rey, and Eringen's micropolar theory. In particular, we show that these theories are all compatible with each other and some of them allow for more general configurations involving a non vanishing disclination density. All results are also extended to flowing liquid crystals.

Official source

https://infoscience.epfl.ch/entities/publication/ff6eb144-95ee-4c73-ad38-3ed6ab7a8880

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Euler-Poincare Approaches to Nematodynamics

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