Abstract:
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).
Biography:
Shuhan Zhou is an undergraduate student at School of Mathematical Sciences, Peking University. He will graduate in July, 2024, and then pursue his PhD at Peking University, advised by Weijun Xu.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.