Global solutions of the hunter - Saxton equation

Alberto Bressan, Adrian Constantin

Research output: Contribution to journalArticlepeer-review

98 Scopus citations

Abstract

We construct a continuous semigroup of weak, dissipative solutions to a nonlinear partial differential equation modeling nematic liquid crystals. A new distance functional, determined by a problem of optimal transportation, yields sharp estimates on the continuity of solutions with respect to the initial data.

Original languageEnglish (US)
Pages (from-to)996-1026
Number of pages31
JournalSIAM Journal on Mathematical Analysis
Volume37
Issue number3
DOIs
StatePublished - 2006

All Science Journal Classification (ASJC) codes

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

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