On the Eringen model for nematic liquid crystals
Sur le modèle dEringen pour les cristaux liquides nématiques
Chechkin G.A. Ratiu T.S. Romanov M.S.
2021Academie des sciences
Comptes Rendus - Mecanique
2021#349Issue 121 - 27 pp.
We introduce the three-dimensional Eringen system of equations for the nematodynamics of liquid crystals, announce the short time existence and uniqueness of strong solutions for the one-dimensional problem in the periodic case, and show the continuous dependence of the solution on the initial data. Résumé. Nous présentons le système tridimensionnel déquations dEringen pour la nématodynamique des cristaux liquides, annonçons lexistence en temps et lunicité de solutions fortes pour le problème unidimensionnel dans le cas périodique et montrons la dépendance continue de la solution sur les données initiales.
Conservation laws , Eringen equations , Existence and uniqueness , Liquid crystals , Local solution , Micromomentumof molecules , Nematodynamics
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M. V. Lomonosov Moscow State University, Leninskie Gory, 1, Moscow, 119991, Russian Federation
Institute of Mathematics with Computing Center-Subdivision, Ufa Federal Research Center of Russian Academy of Science, Chernyshevskogo St., 112, Ufa, 450008, Russian Federation
Institute of Mathematics and Mathematical Modeling, Pushkin st. 125, Almaty, 050010, Kazakhstan
School of Mathematical Sciences, Ministry of Education Laboratory of Scientific Computing (MOE-LSC), Shanghai Jiao Tong University, 800 Dongchuan Road, Minhang, Shanghai, 200240, China
Section DeMathématiques, Université de Genève, 2-4 rue du Lièvre, Case postale 64, Genève 4, 1211, Switzerland
Section de Mathématiques, École Polytechnique Fédérale de Lausanne, Lausanne, 1015, Switzerland
M. V. Lomonosov Moscow State University
Institute of Mathematics with Computing Center-Subdivision
Institute of Mathematics and Mathematical Modeling
School of Mathematical Sciences
Section DeMathématiques
Section de Mathématiques
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