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In this paper, we study the full three-dimensional Ericksen-Leslie system of equations for the nematodynamics of liquid crystals. We announce the short-time existence and uniqueness of strong solutions for the initial value problem in the periodic case and in a bounded domain with Dirichlet- and Neumann-type boundary conditions. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
Annalisa Buffa, Pablo Antolin Sanchez, Giuliano Guarino
Jan Sickmann Hesthaven, Niccolo' Discacciati