Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations

Noel J. Walkington

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2011)

  • Volume: 45, Issue: 3, page 523-540
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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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 45.3 (2011): 523-540. <http://eudml.org/doc/273167>.

@article{Walkington2011,
abstract = {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.},
author = {Walkington, Noel J.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {liquid crystal; Ericksen-Leslie equations; numerical approximation; ericksen-Leslie equations},
language = {eng},
number = {3},
pages = {523-540},
publisher = {EDP-Sciences},
title = {Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations},
url = {http://eudml.org/doc/273167},
volume = {45},
year = {2011},
}

TY - JOUR
AU - Walkington, Noel J.
TI - Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2011
PB - EDP-Sciences
VL - 45
IS - 3
SP - 523
EP - 540
AB - 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.
LA - eng
KW - liquid crystal; Ericksen-Leslie equations; numerical approximation; ericksen-Leslie equations
UR - http://eudml.org/doc/273167
ER -

References

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