Thermodynamical consistent modeling and analysis of nematic liquid crystal flows

Matthias Georg Hieber, Jan Prüss

研究成果: Conference contribution

9 被引用数 (Scopus)

抄録

The general Ericksen-Leslie model for the flow of nematic liquid crystals is reconsidered in the non-isothermal case aiming for thermodynamically consistent models. The non-isothermal simplified model is then investigated analytically. A fairly complete dynamic theory is developed by analyzing these systems as quasilinear parabolic evolution equations in an Lp − Lq-setting. First, the existence of a unique, local strong solution is proved. It is then shown that this solution extends to a global strong solution provided the initial data are close to an equilibrium or the solution is eventually bounded in the natural norm of the underlying state space. In these cases the solution converges exponentially to an equilibrium in the natural state manifold.

本文言語English
ホスト出版物のタイトルMathematical Fluid Dynamics, Present and Future
出版社Springer New York LLC
ページ433-459
ページ数27
183
ISBN(印刷版)9784431564553
DOI
出版ステータスPublished - 2016
外部発表はい
イベント8th CREST-SBM nternational Conference on Mathematical Fluid Dynamics, Present and Future, 2014 - Tokyo, Japan
継続期間: 2014 11 112014 11 14

Other

Other8th CREST-SBM nternational Conference on Mathematical Fluid Dynamics, Present and Future, 2014
CountryJapan
CityTokyo
Period14/11/1114/11/14

ASJC Scopus subject areas

  • Mathematics(all)

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