Refinement of Boundary Conditions for Nematic Liquid Crystals in the One-Constant Approximation / A. G. Kalugin. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2017. № 6. P. 62-64 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 150-152].

The boundary conditions are studied for nematic liquid crystals in the case of weak anchoring. The cases of the general expression and one-constant approximation are considered for the Frank energy of elastic distortions of the director field. It is shown that the one-constant approximation is correct for one-dimensional problems only and, for two- and three-dimensional problems, this model significantly simplifies the boundary conditions and changes their type.

Key words: nematic liquid crystals, boundary conditions, one-constant approximation.

№ 6/2017