Fulltext

Euler-Poincaré Approaches to Nematodynamics

Gay-Balmaz, François ; Ratiu, Tudor ; Tronci, Cesare

In: Acta Applicandae Mathematicae, 2012, vol. 120, no. 1, p. 127-151

Ajouter à la liste personnelle
    Titre
    • Euler-Poincaré Approaches to Nematodynamics
    Auteur
    • Gay-Balmaz, François. Laboratoire de Météorologie Dynamique, École Normale Supérieure/CNRS, Paris, France
    • Ratiu, Tudor. Section de Mathématiques, École Polytechnique Fédérale de Lausanne, 1015, Lausanne, Switzerland
    • Tronci, Cesare. Section de Mathématiques, École Polytechnique Fédérale de Lausanne, 1015, Lausanne, Switzerland
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Acta Applicandae Mathematicae, 2012, vol. 120, no. 1, p. 127-151. Springer Netherlands
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:313799
    Summary
    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