On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in RN

Maria Schonbek, Yoshihiro Shibata

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We consider the motion of a viscous incompressible liquid crystal flow in the N-dimensional whole space. We prove the global well-posedness of strong solutions for small initial data by combining the maximal Lp- Lq regularities and Lp- Lq decay properties of solutions for the Stokes equations and heat equations. As a result, we also proved the decay properties of the solutions to the nonlinear equations.

Original languageEnglish
Pages (from-to)537-550
Number of pages14
JournalJournal of Evolution Equations
Volume17
Issue number1
DOIs
Publication statusPublished - 2017 Mar 1

Keywords

  • Global solutions in R
  • Nematic liquid crystals
  • Quasilinear parabolic evolution equations
  • Regularity

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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