3 papers
math.DS2025
The multi-scale KAM persistence without a scaling order for Hamiltonian systems
Weichao Qian, Yong Li, Xue Yang
The persistence of invariant tori in multi-scale Hamiltonian systems is intrinsically linked to the stability of the N-body problem. However, the existing non-degeneracy conditions…
math.PR2025
Stochastic tamed 3D Navier-Stokes equations with locally weak monotonicity coefficients: existence, uniqueness and averaging principle
Shuaishuai Lu, Xue Yang, Yong Li
This paper investigates the stochastic tamed 3D Navier-Stokes equations with locally weak monotonicity coefficients in the whole space as well as in the three-dimensional torus, wh…
math.PR2024
Central limit theorem for periodic solutions of stochastic differential equations driven by Levy noise
Xinying Deng, Yong Li, Xue Yang
Through certain appropriate constructions, we establish periodic solutions in distribution for some stochastic differential equations with infinite-dimensional Levy noise. Addition…