On nematic liquid crystals with variable degree of orientation

Research output: Contribution to journalArticle

Abstract

Energy minimizing static configurations of nematic liquid crystals with variable degree of orientation can be described by a map which minimizes certain degenerate variational integrals. This mathematical model was recently posed by J. L. Erickson. In this paper, we shall prove the existence, local uniqueness, and global regularity of minimizers. We shall also estimate the size of possible defects.

Original languageEnglish (US)
Pages (from-to)453-468
Number of pages16
JournalCommunications on Pure and Applied Mathematics
Volume44
Issue number4
DOIs
StatePublished - Jun 1991

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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