中科院数学与系统科学研究院
数学研究所
调和分析及其应用研究中心
学术报告
调和分析和偏微分方程研讨班
报告人：Weijun Xu（BICMR/Peking University）
题 目：Periodic homogenisation for some singular stochastic PDEs
时 间：2024.03.05（星期二）10:00-11:00
地 点：思源楼S803
摘 要：We consider the periodic homogenisation problem for some singular stochastic PDEs. These are natural models where two different singular limiting procedures interact -- homogenisation and renormalisation. We show that in two concrete models --- dynamical \Phi^4_2 model and two dimensional generalised parabolic Anderson model, the two limiting procedures commute. One of the challenges is to identify a suitable ansatz for the solution to the mixed problem. Based on joint works with Yilin Chen (PKU) and Ben Fehrman (LSU).
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