6 papers
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…
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…
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…
The weak averaging principle of stochastic functional partial differential equations with Hlder continuous coefficients and infinite delay
Shuaishuai Lu, Xue Yang, Yong Li
In this paper, we establish the weak averaging principle for stochastic functional partial differential equations (in short, SFPDEs) with Hlder continuous coeffici…
Stochastic functional partial differential equations with monotone coefficients: Poisson stability measures, exponential mixing and limit theorems
Shuaishuai Lu, Xue Yang, Yong Li
This paper examines Poisson stable (including stationary, periodic, almost periodic, Levitan almost periodic, Bohr almost automorphic, pseudo-periodic, Birkhoff recurrent, pseudo-r…
McKean-Vlasov SPDEs with coefficients exhibiting locally weak monotonicity: existence, uniqueness, ergodicity, exponential mixing and limit theorems
Shuaishuai Lu, Xue Yang, Yong Li
This paper investigates the existence and uniqueness of solutions, as well as the ergodicity and exponential mixing to invariant measures, and limit theorems for a class of McKean-…