On the Eringen model for nematic liquid crystals

Chechkin, Gregory A.; Ratiu, Tudor S.; Romanov, Maxim S.

doi:10.5802/crmeca.67

Comptes Rendus. Mécanique (Feb 2021)

On the Eringen model for nematic liquid crystals

Chechkin, Gregory A.,
Ratiu, Tudor S.,
Romanov, Maxim S.

Affiliations

Chechkin, Gregory A.: Institute of Mathematics and Mathematical Modeling, Pushkin st. 125, Almaty, 050010, Kazakhstan; Institute of Mathematics with Computing Center—Subdivision of the Ufa Federal Research Center of Russian Academy of Science, Chernyshevskogo St., 112, Ufa, 450008, Russia; M. V. Lomonosov Moscow State University, Leninskie Gory, 1, Moscow, 119991, Russia
Ratiu, Tudor S.: School of Mathematical Sciences and Ministry of Education Laboratory of Scientific Computing (MOE-LSC), Shanghai Jiao Tong University, 800 Dongchuan Road, Minhang, Shanghai, 200240, China; Section de Mathématiques, Université de Genève, 2-4 rue du Lièvre, Case postale 64, 1211 Genève 4, Switzerland; Section de Mathématiques, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
Romanov, Maxim S.: M.V. Lomonosov Moscow State University, Leninskie Gory, 1, Moscow, 119991, Russia

DOI: https://doi.org/10.5802/crmeca.67
Journal volume & issue: Vol. 349, no. 1
pp. 21 – 27

Abstract

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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.

Published in Comptes Rendus. Mécanique

ISSN: 1631-0721 (Print); 1873-7234 (Online)
Publisher: Académie des sciences
Country of publisher: France
LCC subjects: Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials
Website: https://comptes-rendus.academie-sciences.fr/mecanique/

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