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Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations*

Published online by Cambridge University Press:  30 November 2010

Noel J. Walkington
Noel J. Walkington*
Affiliation:
Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213, USA. noelw@andrew.cmu.edu
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Abstract

Numerical approximation of the flow of liquid crystals governed by the Ericksen-Leslie equations is considered. Care is taken to develop numerical schemes which inherit the Hamiltonian structure of these equations and associated stability properties. For a large class of material parameters compactness of the discrete solutions is established which guarantees convergence.

Keywords

Liquid crystalEricksen-Leslie equationsnumerical approximation
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 45 , Issue 3 , May 2011 , pp. 523 - 540
Copyright
© EDP Sciences, SMAI, 2010

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