Sharp Interface Limit for 1D Stochastic Allen-Cahn Equation in Full Small Noise Regime
Time: 2024-03-26
Published By: He Liu
Speaker(s): Shuhan Zhou(Peking University)
Time: 16:00-17:00 April 1, 2024
Venue: Siyuan Lecture Hall, Zhihua Building
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 joint work with Weijun Xu (BICMR) and Wenhao Zhao (EPFL).
