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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.
Michel Bierlaire, Timothy Michael Hillel, Janody Pougala
Michel Bierlaire, Nikola Obrenovic, Selin Ataç
Robert West, Alberto Garcia Duran