3 papers
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…
cond-mat.supr-con2024
Stochastic dynamics of the resistively shunted superconducting tunnel junction system under the impact of thermal fluctuations
Shenglan Yuan
In this work, a Josephson junction consisting of two superconducting layers sandwiching an insulating layer is explored, which is subject to the effects of thermal fluctuations. Th…
math.DS2024
Rare events in a stochastic vegetation-water dynamical system based on machine learning
Yang Li, Shenglan Yuan, Shengyuan Xu
Stochastic vegetation-water dynamical systems play a pivotal role in ecological stability, biodiversity, water resource management, and adaptation to climate change. This research…