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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
Joachim Stubbe, Luigi Provenzano, Paolo Luzzini, Davide Buoso