Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 6, Pages 62–64 (Mi vmumm113)  
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Refinement of boundary conditions for nematic liquid crystals in the one-constant approximation

A. G. Kalugin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: 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.
Key words: nematic liquid crystals, boundary conditions, one-constant approximation.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-00361
Received: 23.11.2016
English version:
Moscow University Mechanics Bulletin, 2017, Volume 72, Issue 6, Pages 150–152
DOI: https://doi.org/10.3103/S0027133017060048
Bibliographic databases:
Document Type: Article
UDC: 532.6
Language: Russian
Citation: A. G. Kalugin, “Refinement of boundary conditions for nematic liquid crystals in the one-constant approximation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 6, 62–64; Moscow University Mechanics Bulletin, 72:6 (2017), 150–152
Citation in format AMSBIB
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\issue 6
\pages 62--64
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\jour Moscow University Mechanics Bulletin
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\vol 72
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\pages 150--152
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