Geodesic
Refinement of boundary conditions for nematic liquid crystals in the one-constant approximation
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2017), pp. 62-64

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The boundary conditions are studied for a nematic liquid crystal in the case of weak anchoring. The cases of the general expression and one-constant approximation are considered for the Frank energy. 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. 
@article{VMUMM_2017_6_a10,
     author = {A. G. Kalugin},
     title = {Refinement of boundary conditions for nematic liquid crystals in the one-constant approximation},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {62--64},
     publisher = {mathdoc},
     number = {6},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_6_a10/}
}
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A. G. Kalugin. Refinement of boundary conditions for nematic liquid crystals in the one-constant approximation. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2017), pp. 62-64. http://geodesic.mathdoc.fr/item/VMUMM_2017_6_a10/