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math.DS2025
Effective dynamics of interfaces for nonlinear SPDEs driven by multiplicative white noise
Shenglan Yuan, Dirk Blömker
In the present work, we investigate the dynamics of the infinite-dimensional stochastic partial differential equation (SPDE) with multiplicative white noise. We derive the effectiv…
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…