3 papers
math-ph2025
On localization for the alloy-type Anderson-Bernoulli model with long-range hopping
Shihe Liu, Yunfeng Shi, Zhifei Zhang
In this paper, we prove the Anderson localization near the spectral edge for some alloy-type Anderson-Bernoulli model on with exponential long-range hopping. This ex…
math.AP2025
Self-similar algebraic spiral vortex sheets of 2-D incompressible Euler equations
Feng Shao, Dongyi Wei, Zhifei Zhang
This paper provides the first rigorous construction of the self-similar algebraic spiral vortex sheet solutions to the 2-D incompressible Euler equations. These solutions are belie…
math.AP2024
Exponential mixing for random nonlinear wave equations: weak dissipation and localized control
Ziyu Liu, Dongyi Wei, Shengquan Xiang +2
We establish a new criterion for exponential mixing of random dynamical systems. Our criterion is applicable to a wide range of systems, including in particular dispersive equation…