| Issue |
ESAIM: M2AN
Volume 45, Number 3, May-June 2011
|
|
|---|---|---|
| Page(s) | 523 - 540 | |
| DOI | https://doi.org/10.1051/m2an/2010065 | |
| Published online | 30 November 2010 | |
Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations*
Department of Mathematics, Carnegie
Mellon University, Pittsburgh, PA 15213, USA. noelw@andrew.cmu.edu
Received:
5
January
2010
Revised:
14
June
2010
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.
Mathematics Subject Classification: 76A15 / 65M12 / 65M60 / 76M10
Key words: Liquid crystal / Ericksen-Leslie equations / numerical approximation
© EDP Sciences, SMAI, 2010
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