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math.DS2026
Stochastic Dynamics of the Two-Dimensional Low-to-High Transition System Driven by Multiplicative Noise
Yongzhi Li, Shenglan Yuan
This work presents a two-dimensional coupled Low-to-High confinement transition system based on the phenomenological coupling mechanism between zonal flows and turbulent fluctuatio…
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.DS2024
On the solitary wave configurations of nonlinear Schrödinger equation under the effect of Lévy noise
Hina Zulfiqar, Shenglan Yuan, Muhammad Shoaib Saleem
This study aims to examine the effect of Lévy noise on the solutions of the nonlinear Schrödinger equation. An improved diversity of stochastic solutions is instinctively located…