Global Well Posedness for a Q-tensor Model of Nematic Liquid Crystals

Miho Murata*, Yoshihiro Shibata

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


In this paper, we prove the global well posedness and the decay estimates for a Q-tensor model of nematic liquid crystals in RN, N≥ 3. This system is a coupled system by the Navier–Stokes equations with a parabolic-type equation describing the evolution of the director fields Q. The proof is based on the maximal Lp–Lq regularity and the Lp–Lq decay estimates to the linearized problem.

Original languageEnglish
Article number34
JournalJournal of Mathematical Fluid Mechanics
Issue number2
Publication statusPublished - 2022 May

ASJC Scopus subject areas

  • Mathematical Physics
  • Condensed Matter Physics
  • Computational Mathematics
  • Applied Mathematics


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