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解析学火曜セミナー
過去の記録 ～08/10｜次回の予定｜今後の予定 08/11～
| 開催情報 | 火曜日 16:00～17:30 数理科学研究科棟(駒場) 126号室 |
|---|---|
| 担当者 | 石毛 和弘, 坂井 秀隆, 伊藤 健一 |
| セミナーURL | https://www.ms.u-tokyo.ac.jp/seminar/analysis/ |
今後の予定
2022年08月23日(火)
16:00-17:30 数理科学研究科棟(駒場) 126号室
対面・オンラインハイブリッド開催（対面は本学関係者のみに限定します）
Stefan Neukamm 氏 (Dresden University/RIMS)
Quantitative homogenization for monotone, uniformly elliptic systems with random coefficients (English)
https://forms.gle/V1wxbYhT4mkPF4gY9
対面・オンラインハイブリッド開催（対面は本学関係者のみに限定します）
Stefan Neukamm 氏 (Dresden University/RIMS)
Quantitative homogenization for monotone, uniformly elliptic systems with random coefficients (English)
[ 講演概要 ]
Motivated by homogenization of nonlinearly elastic composite materials, we study homogenization rates for elliptic PDEs with monotone nonlinearity in the uniformly elliptic case. Under the assumption of a fast decay of correlations on scales larger than the microscale $\varepsilon$, we establish estimates of optimal order for the approximation of the homogenized operator by the method of representative volumes. Moreover, we discuss applications to nonlinear elasticity random laminates.
[ 参考URL ]Motivated by homogenization of nonlinearly elastic composite materials, we study homogenization rates for elliptic PDEs with monotone nonlinearity in the uniformly elliptic case. Under the assumption of a fast decay of correlations on scales larger than the microscale $\varepsilon$, we establish estimates of optimal order for the approximation of the homogenized operator by the method of representative volumes. Moreover, we discuss applications to nonlinear elasticity random laminates.
https://forms.gle/V1wxbYhT4mkPF4gY9
