Dynamics of the Ericksen–Leslie equations with general Leslie stress I: the incompressible isotropic case

Matthias Georg Hieber*, Jan Prüss

*この研究の対応する著者

研究成果: Article査読

11 被引用数 (Scopus)

抄録

The Ericksen–Leslie model for nematic liquid crystals in a bounded domain with general Leslie and isotropic Ericksen stress tensor is studied in the case of a non-isothermal and incompressible fluid. This system is shown to be locally strongly well-posed in the (Formula presented.)-setting, and a dynamical theory is developed. The equilibria are identified and shown to be normally stable. In particular, a local solution extends to a unique, global strong solution provided the initial data are close to an equilibrium or the solution is eventually bounded in the topology of the natural state manifold. In this case, the solution converges exponentially to an equilibrium, in the topology of the state manifold. The above results are proven without any structural assumptions on the Leslie coefficients and in particular without assuming Parodi’s relation.

本文言語English
ページ(範囲)1-20
ページ数20
ジャーナルMathematische Annalen
DOI
出版ステータスAccepted/In press - 2016 8月 2
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

フィンガープリント

「Dynamics of the Ericksen–Leslie equations with general Leslie stress I: the incompressible isotropic case」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル