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research article

On unique solvability of the full three-dimensional Ericksen-Leslie system

Chechkin, Gregory A.
•
Ratiu, Tudor S.  
•
Romanov, Maxim S.
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2016
Comptes Rendus Mecanique

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.

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Type
research article
DOI
10.1016/j.crme.2016.02.010
Web of Science ID

WOS:000376795700001

Author(s)
Chechkin, Gregory A.
Ratiu, Tudor S.  
Romanov, Maxim S.
Samokhin, Vyacheslav N.
Date Issued

2016

Publisher

Elsevier

Published in
Comptes Rendus Mecanique
Volume

344

Issue

7

Start page

459

End page

463

Subjects

Liquid crystals

•

Ericksen-Leslie equations

•

Nematodynamics

•

Existence and uniqueness

•

Director field

•

Speed of propagation

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CAG2  
Available on Infoscience
July 19, 2016
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/127550
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