충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제36권1호
  • /
  • Pages.25-37
  • /
  • 2023
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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A STUDY OF DEFECTS IN LIQUID CRYSTALS ON A PUNCTURED DISK

  • He Jin (Department of Mathematics Chungnam National University) ;
  • Jinhae Park (Department of Mathematics Chungnam National University)
  • 투고 : 2022.10.06
  • 심사 : 2023.02.24
  • 발행 : 2023.02.28
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초록

In this paper, we consider the Landau-de Gennes energy functional for liquid crystals confined in a thin cylindrical domain and study defects of molecular directions in the system by applications of external fields.

키워드

과제정보

This work was financially supported by research fund of Chungnam National University in 2018.

참고문헌

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  2. J. Park and M. C. Calderer. Analysis of nonlocal electrostatic effects in chiral smectic c liquid crystals. SIAM J. Appl. Math., 66 (2006), no. 6, 2107-2126. https://doi.org/10.1137/050641120
  3. F. Huang, et al. A highly efficient and accurate new scalar auxiliary variable approach for gradient flows. SIAM J. Sci. Comput., 42 (2020), no. 4, A2514-A2536. https://doi.org/10.1137/19m1298627
  4. L. C. Evans. Partial differential equations, J. Amer. Math. Soc., 19 (2010)
  5. N. J. Mottram and C. Newton. Introduction to Q-tensor theory. University of Strathclyde, Department of Mathematics Research Report, 10, 2004.