Liquid crystal flows in two dimensions

Fanghua Lin, Junyu Lin, Changyou Wang

Research output: Contribution to journalArticlepeer-review


This paper is concerned with a simplified hydrodynamic equation, proposed by Ericksen and Leslie, modeling the flow of nematic liquid crystals. In dimension two, we establish both interior and boundary regularity theorems for such a flow under smallness conditions. As a consequence, we establish the existence of global (in time) weak solutions on a bounded smooth domain in ℝ which are smooth everywhere with possible exceptions of finitely many singular times.

Original languageEnglish (US)
Pages (from-to)297-336
Number of pages40
JournalArchive for Rational Mechanics and Analysis
Issue number1
StatePublished - 2010

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering


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