no. 3
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.

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
Mots clés : liquid crystal, Ericksen-Leslie equations, numerical approximation 
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     title = {Numerical approximation of nematic liquid crystal flows governed by the {Ericksen-Leslie} equations},
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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. http://www.numdam.org/articles/10.1051/m2an/2010065/

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