10 citations · 36 across the 16 of their papers we have counts for
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math.DS2021
Most Probable Dynamics of the Single-Species with Allee Effect under Jump-diffusion Noise
Almaz Tesfay, Shenglan Yuan, Daniel Tesfay +1
We investigate the most probable phase portrait (MPPP) of a stochastic single-species model with the Allee effect using the non-local Fokker-Planck equation. This stochastic model…
math.DS2021
Modulation and amplitude equations on bounded domains for nonlinear SPDEs driven by cylindrical α-stable Lévy processes
Shenglan Yuan, Dirk Blömker
In the present work, we establish the approximation of nonlinear stochastic partial differential equation (SPDE) driven by cylindrical α-stable Lévy processes via modulation or amp…
math.PR2021
Stochastic turbulence for Burgers equation driven by cylindrical Lévy process
Shenglan Yuan, Dirk Blömker, Jinqiao Duan
This work is devoted to investigating stochastic turbulence for the fluid flow in one-dimensional viscous Burgers equation perturbed by Lévy space-time white noise with the periodi…