IJPAM: Volume 78, No. 2 (2012)
WEAK STABILITY OF A CRITICAL TWISTED NEMATIC
STATE UNDER THE MAGNETIC FIELD
IN LIQUID CRYSTALS
STATE UNDER THE MAGNETIC FIELD
IN LIQUID CRYSTALS
Junichi Aramaki
Division of Science
Faculty of Science and Engineering
Tokyo Denki University
Hatoyama-Machi, Saitama, 350-0394, JAPAN
Division of Science
Faculty of Science and Engineering
Tokyo Denki University
Hatoyama-Machi, Saitama, 350-0394, JAPAN
Abstract. We consider the weak stability of a critical twisted nematic state under the magnetic field in the theory of liquid crystals. We treat the Oseen-Frank energy functional with the strong anchoring condition, that is to say, the Dirichlet boundary condition for the director field.
Received: February 12, 2012
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 78
Issue: 2