• Corpus ID: 236635147

Pattern Formation for Nematic Liquid Crystals-Modelling, Analysis, and Applications

  title={Pattern Formation for Nematic Liquid Crystals-Modelling, Analysis, and Applications},
  author={Yucen Han and Apala Majumdar},
We summarise some recent results on solution landscapes for two-dimensional (2D) problems in the Landau– de Gennes theory for nematic liquid crystals. We study energy-minimizing and non energy-minimizing solutions of the Euler–Lagrange equations associated with a reduced Landau-de Gennes free energy on 2D domains with Dirichlet tangent boundary conditions. We review results on the multiplicity and regularity of solutions in distinguished asymptotic limits, using variational methods, methods… 


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