イベントカレンダー
- 日程
- 2025年7月31日（木）
- 時間
- 17:00～18:00
- 場所
- 東京科学大学 大岡山キャンパス本館２階２１３セミナー室
- 講師
- Yong Lu 氏（Nanjing University）
- お問い合わせ先
- 東京科学大学理学院数学事務室
jimu[at]math.titech.ac.jp （[at]は半角@に置き換えてください。）
- 講演タイトル
- Qualitative/quantitative homogenization of some non-Newtonian flows in perforated domains
- アブストラクト
- We consider the homogenization of incompressible viscous non-Newtonian flows in domains perforated with a large number of periodically distributed small holes in $R^{3}$, where the mutual distance between the holes is measured by a small parameter $\epsilon>0$ and the size of the holes is $\epsilon^{\alpha}$ with $\alpha \in (1, \frac 32)$. Under certain general assumptions on the form of non-Newtonian tress tensor, we derived the Darcy's law in the homogenization limit. We employ the Bogovskii type operator in perforated domains to deduce the uniform estimates of the pressure directly. Moreover, quantitative convergence rates are derived by using relative entropy method and boundary layer correction to overcome the inconsistency of the boundary donations. This is a joint work with F. Oschmann from Prague (Czech Republic) and R. Hofer from Regensburg (Germany).
※ 詳細はこちら
更新日：2025.07.07
