来源:统计学院

5月24日 | 周书涵:Sharp interface limit for 1D stochastic Allen-Cahn equation in full small noise regime

来源:统计学院发布时间:2024-05-17浏览次数:10

时    间:2024年5月24日15:00 - 16:00

地    点:普陀校区理科大楼A914

报告人:北京大学 周书涵

主持人:华东师范大学 俞锦炯助理教授

摘   要:

We consider the sharp interface limit for the 1D stochastic Allen-Cahn equation, and extend earlier work by Funaki to the full small noise regime. The main new idea is the construction of a series of functional correctors, which are designed to recursively cancel potential divergences. In addition, in order to show these correctors are well-behaved, we develop a systematic decomposition of functional derivatives of the deterministic Allen-Cahn flow of all orders. This talk is based on a joint work with Weijun Xu (BICMR) and Wenhao Zhao (EPFL).

报告人简介:

Shuhan Zhou is a senior student from the school of mathematical science in Peking university. He is interested in probability, analysis and stochastic analysis.