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20112024
most citedGeneration of fine transition layers and their dynamics for the stochastic Allen--Cahn equation

5 citations · 17 across the 8 of their papers we have counts for

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math.AP2015

The Sharp interface limit for the stochastic Cahn-Hilliard equation

Dimitra C. Antonopoulou, Dirk Blömker, Georgia D. Karali

We study the two and three dimensional stochastic Cahn-Hilliard equation in the sharp interface limit, where the positive parameter tends to zero, which measures the width of t…

math.DS2015★ 5 cited

Motion of a droplet for the mass-conserving stochastic Allen-Cahn equation

Dimitra C. Antonopoulou, Peter W. Bates, Dirk Blömker +1

We study the stochastic mass-conserving Allen-Cahn equation posed on a bounded two-dimensional domain with additive spatially smooth space-time noise. This equation associated with…