Time evolution of nematic liquid crystals with variable degree of orientation

M. C. Calderer, D. Golovaty, F. H. Lin, Chun Liu

Research output: Contribution to journalArticle

17 Scopus citations

Abstract

We consider an evolution system, describing the time-dependent behavior of nematic liquid crystals with variable degree of orientation within the continuum model of Ericksen. We establish a dissipation relation and prove both the global existence of weak solutions and the local existence of classical solutions. Furthermore, we investigate the stability and long-time behavior of solutions and obtain an exact solution of the corresponding stationary system in a one-dimensional case.

Original languageEnglish (US)
Pages (from-to)1033-1047
Number of pages15
JournalSIAM Journal on Mathematical Analysis
Volume33
Issue number5
DOIs
StatePublished - 2002

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Time evolution of nematic liquid crystals with variable degree of orientation'. Together they form a unique fingerprint.

  • Cite this