Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 45 (2011) no. 3, p. 523-540

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.

DOI : https://doi.org/10.1051/m2an/2010065
Classification:  76A15,  65M12,  65M60,  76M10
Keywords: liquid crystal, Ericksen-Leslie equations, numerical approximation
@article{M2AN_2011__45_3_523_0,
author = {Walkington, Noel J.},
title = {Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
publisher = {EDP-Sciences},
volume = {45},
number = {3},
year = {2011},
pages = {523-540},
doi = {10.1051/m2an/2010065},
zbl = {1267.76008},
mrnumber = {2804649},
language = {en},
url = {http://www.numdam.org/item/M2AN_2011__45_3_523_0}
}

Walkington, Noel J. Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 45 (2011) no. 3, pp. 523-540. doi : 10.1051/m2an/2010065. http://www.numdam.org/item/M2AN_2011__45_3_523_0/

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