Geodesic
Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 45 (2011) no. 3, pp. 523-540

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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.

DOI : 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 },
     pages = {523--540},
     publisher = {EDP-Sciences},
     volume = {45},
     number = {3},
     year = {2011},
     doi = {10.1051/m2an/2010065},
     mrnumber = {2804649},
     zbl = {1267.76008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2010065/}
}
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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 , Tome 45 (2011) no. 3, pp. 523-540. doi: 10.1051/m2an/2010065

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