For sufficiently small additive noise, a 2D droplet in the stochastic Cahn-Hilliard equation remains near the deterministic slow manifold for polynomial times, and its center satisfies a derived SDE with noise essentially the projection of the Wiener process onto the translational modes.
Sharp interface limit of stochastic Cahn-Hilliard equation with singular noise
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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.
fields
math.DS 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Stochastic Cahn-Hilliard equation in higher space dimensions: The motion of bubbles
For sufficiently small additive noise, a 2D droplet in the stochastic Cahn-Hilliard equation remains near the deterministic slow manifold for polynomial times, and its center satisfies a derived SDE with noise essentially the projection of the Wiener process onto the translational modes.