IJPAM: Volume 78, No. 2 (2012)

WEAK STABILITY OF A CRITICAL TWISTED NEMATIC
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


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