Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations*
Department of Mathematics, Carnegie
Mellon University, Pittsburgh, PA 15213, USA. firstname.lastname@example.org
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
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