Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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A LOCAL MINIMIZER IN SMECTIC LIQUID CRYSTALS

  • Park, Jinhae (Department of Mathematics Chungnam National University)
  • Received : 2017.08.31
  • Accepted : 2018.02.07
  • Published : 2018.02.15
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Abstract

In this paper, we consider a simplified energy functional for ferroelectric liquid crystals. With a special ansatz, we study existence of local minimizer with a certain symmetry.

Keywords

References

  1. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, Oxford University Press, 1993.
  2. S. T. Lagerwall, Ferroelectric and Antiferroelectric Liquid Crystals, Wiley-VCH, 1999.
  3. J. Park and M. C. Calderer, Analysis of nonlocal electrostatic effects in chiral smectic c liquid crystals, SIAM J. Appl. Math. 66 (2006), 2107-2126.
  4. L. C. Evans, Partial differential equations, Graduate Studies in Mathematics, 19. American Mathematical Society, Providence, RI, 1998.