Global existence and regularity of solutions for active liquid crystals

Gui-Qiang Chen, Apala Majumdar, Dehua Wang, Rongfang Zhang

Research output: Contribution to journalArticle

4 Citations (Scopus)
12 Downloads (Pure)

Abstract

We study the hydrodynamics of active liquid crystals in the Beris-Edwards hydrodynamic framework with the Landau-de Gennes Q-tensor order parameter to describe liquid crystalline ordering. The existence of global weak solutions in two and three spatial dimensions is established. In the two-dimensional case, by the Littlewood-Paley decomposition, the higher regularity of the weak solutions and the weak-strong uniqueness are also obtained.

Original languageEnglish
Pages (from-to)202-239
Number of pages38
JournalJournal of Differential Equations
Volume263
Issue number1
Early online date3 Mar 2017
DOIs
Publication statusPublished - 5 Jul 2017

Keywords

  • Navier–Stokes equations
  • active liquid crystals
  • global well-posedness
  • weak solutions
  • strong solutions
  • weak-strong uniqueness

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