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 |
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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 |
巻 | 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月 11 → 2014 11月 14 |
Other
Other | 8th CREST-SBM nternational Conference on Mathematical Fluid Dynamics, Present and Future, 2014 |
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国/地域 | Japan |
City | Tokyo |
Period | 14/11/11 → 14/11/14 |
ASJC Scopus subject areas
- 数学 (全般)