Kickback in nematic liquid crystals

F.P. Da Costa; Michael Grinfeld; Matthias Langer; Nigel J. Mottram; J.T. Pinto

doi:10.1090/S0033-569X-2011-01265-5

Kickback in nematic liquid crystals

F.P. Da Costa, Michael Grinfeld, Matthias Langer, Nigel J. Mottram, J.T. Pinto

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

106 Downloads (Pure)

Abstract

We describe a nonlocal linear partial differential equation arising in the analysis of dynamics of a nematic liquid crystal. We confirm that it accounts for the kickback phenomenon by decoupling the director dynamics from the flow. We also analyse some of the mathematical properties of the decoupled director equation.

Original language	English
Pages (from-to)	99-110
Number of pages	12
Journal	Quarterly of Applied Mathematics
Volume	70
Issue number	1
Early online date	7 Sep 2011
DOIs	https://doi.org/10.1090/S0033-569X-2011-01265-5
Publication status	Published - Mar 2012

Keywords

nematic liquid crystals
nonlocal operators
singular perturbations
kickback

Access to Document

10.1090/S0033-569X-2011-01265-5

DCGLMPFinal published version, 196 KB

ADAPTIVE NUMERICAL METHODS FOR OPTOELECTRONIC DEVICES PFACT 69
Ainsworth, M., Mottram, N. & Ramage, A.
EPSRC (Engineering and Physical Sciences Research Council)
2/04/07 → 30/11/10
Project: Research

Cite this

@article{041fa177e11a45059a20d3501a71fd88,

title = "Kickback in nematic liquid crystals",

abstract = "We describe a nonlocal linear partial differential equation arising in the analysis of dynamics of a nematic liquid crystal. We confirm that it accounts for the kickback phenomenon by decoupling the director dynamics from the flow. We also analyse some of the mathematical properties of the decoupled director equation. ",

keywords = "nematic liquid crystals, nonlocal operators , singular perturbations, kickback ",

author = "{Da Costa}, F.P. and Michael Grinfeld and Matthias Langer and Mottram, {Nigel J.} and J.T. Pinto",

year = "2012",

month = mar,

doi = "10.1090/S0033-569X-2011-01265-5",

language = "English",

volume = "70",

pages = "99--110",

journal = "Quarterly of Applied Mathematics ",

issn = "0033-569X",

number = "1",

}

TY - JOUR

T1 - Kickback in nematic liquid crystals

AU - Da Costa, F.P.

AU - Grinfeld, Michael

AU - Langer, Matthias

AU - Mottram, Nigel J.

AU - Pinto, J.T.

PY - 2012/3

Y1 - 2012/3

N2 - We describe a nonlocal linear partial differential equation arising in the analysis of dynamics of a nematic liquid crystal. We confirm that it accounts for the kickback phenomenon by decoupling the director dynamics from the flow. We also analyse some of the mathematical properties of the decoupled director equation.

AB - We describe a nonlocal linear partial differential equation arising in the analysis of dynamics of a nematic liquid crystal. We confirm that it accounts for the kickback phenomenon by decoupling the director dynamics from the flow. We also analyse some of the mathematical properties of the decoupled director equation.

KW - nematic liquid crystals

KW - nonlocal operators

KW - singular perturbations

KW - kickback

U2 - 10.1090/S0033-569X-2011-01265-5

DO - 10.1090/S0033-569X-2011-01265-5

M3 - Article

VL - 70

SP - 99

EP - 110

JO - Quarterly of Applied Mathematics

JF - Quarterly of Applied Mathematics

SN - 0033-569X

IS - 1

ER -

Kickback in nematic liquid crystals

Abstract

Keywords

Access to Document

Fingerprint

Projects

ADAPTIVE NUMERICAL METHODS FOR OPTOELECTRONIC DEVICES PFACT 69

Cite this