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Zhidk. krist. ikh prakt. ispol'z. = Liq. Cryst. and their Appl., 2013, 1, 49—54.
Surface Waves in the Nematic Liquid Crystals at the Approximation of Large Ericksen Numbers
A. G. Kalugin
Author affiliations Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Department of hydromechanics. Russia, 119991, Moscow, Leninskiye Gory 1. E-mail: firstname.lastname@example.org
Abstract The problem of propagation of small amplitude harmonic waves along the surface of incompressible nematic liquid crystal is considered. The approximation of large Ericksen number is studied when the orientation of director is determined by viscous forces and it is possible to neglect the orientation elasticity. Solutions in the case of planar and homeotropic initial director orientation for this model are received. The dispersion relation for these solutions is also studied and diagrams for real and imaginary parts of frequency as a function of wave number were built numerically.
Keywords: surface waves, nematic liquid crystals, dispersion ratio