Kickback in nematic liquid crystals

Da Costa, F.P. and Grinfeld, Michael and Langer, Matthias and Mottram, Nigel J. and Pinto, J.T. (2012) Kickback in nematic liquid crystals. Quarterly of Applied Mathematics, 70 (1). pp. 99-110. ISSN 0033-569X (https://doi.org/10.1090/S0033-569X-2011-01265-5)

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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.