On strong dynamics of compressible nematic liquid crystals

Katharina Schade, Yoshihiro Shibata

研究成果: Article査読

8 被引用数 (Scopus)

抄録

Given a uniform W3-1/qq -domain ω ⊆ ℝN for N q ∞, we consider a simplified Ericksen.Leslie system modeling the flow of compressible nematic liquid crystals based on Lin and Liu [Comm. Pure Appl. Math., 48 (1995), pp. 501.537]. We show the unique existence of local-intime strong solutions. Furthermore, if ω is bounded and initial data are chosen suitably small, we obtain global-in-time strong solutions. Our approach is based on maximal regularity estimates of the compressible Navier.Stokes equation by Enomoto, von Below, and Shibata [Ann. Univ. Ferrara, 60 (2014), pp. 55.89] and maximal regularity estimates for the Neumann problem as a consequence of Weis-fs 2001 vector-valued Fourier multiplier theorem.

本文言語English
ページ(範囲)3963-3992
ページ数30
ジャーナルSIAM Journal on Mathematical Analysis
47
5
DOI
出版ステータスPublished - 2015

ASJC Scopus subject areas

  • 分析
  • 計算数学
  • 応用数学

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