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ericksen-leslie equations

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations *
Noel J. Walkington
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 45 / Issue 3 / May 2011

Published online by Cambridge University Press:

30 November 2010, pp. 523-540

Print publication:

May 2011
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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.