Sharp interface limit of stochastic Cahn-Hilliard equation with singular noise

2019/05/17 by Banas, Lubomir, and, Huanyu Yang, Zhu, Rongchan
#Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1905.07216

Abstract

We study the the sharp interface limit of ε-dependent two dimensional stochastic Cahn-Hilliard equation driven by space-time white noise and conservative noise as ε→ 0. In the case when the noise is sufficiently small, by comparing the solutions to equation (1.1) with the approximation solution constructed in [ABC94], we show that the limit of the solutions is also solutions to the deterministic Hele-Shaw problem.

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