Global well-posedness and twist-wave solutions for the inertial Qian–Sheng model of liquid crystals

Francesco De Anna, Arghir Zarnescu

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

We consider the inertial Qian–Sheng model of liquid crystals which couples a hyperbolic-type equation involving a second-order material derivative with a forced incompressible Navier–Stokes system. We study the energy law and prove a global well-posedness result. We further provide an example of twist-wave solutions, that is solutions of the coupled system for which the flow vanishes for all times.

Original languageEnglish (US)
Pages (from-to)1080-1118
Number of pages39
JournalJournal of Differential Equations
Volume264
Issue number2
DOIs
StatePublished - Jan 15 2018

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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