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- Title
Euler-Poincaré Approaches to Nematodynamics.
- Authors
Gay-Balmaz, François; Ratiu, Tudor; Tronci, Cesare
- Abstract
Nematodynamics is the orientation dynamics of flowless liquid-crystals. We show how Euler-Poincaré 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.
- Subjects
EULER characteristic; LIQUID crystals; MICROPOLAR elasticity; ANGULAR momentum (Mechanics); ENERGY dissipation; HAMILTONIAN operator; FLUID dynamics
- Publication
Acta Applicandae Mathematicae, 2012, Vol 120, Issue 1, p127
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-012-9719-x