## 解析学火曜セミナー

開催情報 火曜日　16:00～17:30　数理科学研究科棟(駒場) 126号室 石毛 和弘, 坂井 秀隆, 伊藤 健一 https://www.ms.u-tokyo.ac.jp/seminar/analysis/

### 2022年08月23日(火)

16:00-17:30   数理科学研究科棟(駒場) 126号室

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 ]
https://forms.gle/V1wxbYhT4mkPF4gY9