On the Eringen model for nematic liquid crystals

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.

Bibliographic Details
Main Authors: Chechkin, Gregory A., Ratiu, Tudor S., Romanov, Maxim S.
Format: Article
Language:English
Published: Académie des sciences 2021-02-01
Series:Comptes Rendus. Mécanique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.67/