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arXiv · 1908.01601

Stochastic Cahn-Hilliard equation in higher space dimensions: The motion of bubbles

Alexander Schindler·Dirk Blömker
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Abstract

We study the stochastic motion of a droplet in a stochastic Cahn-Hilliard equation in the sharp interface limit for sufficiently small noise. The key ingredient in the proof is a deterministic slow manifold, where we show its stability for long times under small stochastic perturbations. We also give a rigorous stochastic differential equation for the motion of the center of the droplet.

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Alexander Schindler, Dirk Blömker. 2019-08-05. Stochastic Cahn-Hilliard equation in higher space dimensions: The motion of bubbles. https://arxiv.org/abs/1908.01601

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