Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations
Walkington, Noel J.
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 45 (2011), p. 523-540 / Harvested from Numdam
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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.

Publié le : 2011-01-01
DOI : https://doi.org/10.1051/m2an/2010065
Classification:  76A15,  65M12,  65M60,  76M10 
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     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},
     volume = {45},
     year = {2011},
     pages = {523-540},
     doi = {10.1051/m2an/2010065},
     mrnumber = {2804649},
     zbl = {1267.76008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_2011__45_3_523_0}
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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, Tome 45 (2011) pp. 523-540. doi : 10.1051/m2an/2010065. http://gdmltest.u-ga.fr/item/M2AN_2011__45_3_523_0/

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