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arXiv · 1905.07216

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

Lubomir Banas·Huanyu Yang and·Rongchan Zhu
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Abstract

We study the the sharp interface limit of $\varepsilon$-dependent two dimensional stochastic Cahn-Hilliard equation driven by space-time white noise and conservative noise as $\varepsilon\to 0$. 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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Lubomir Banas, Huanyu Yang and, Rongchan Zhu. 2019-05-17. Sharp interface limit of stochastic Cahn-Hilliard equation with singular noise. https://arxiv.org/abs/1905.07216

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