5 papers
Strong averaging principle for nonautonomous multi-scale SPDEs with fully local monotone and almost periodic coefficients
Mengyu Cheng, Xiaobin Sun, Yingchao Xie
In this paper, we consider a class of nonautonomous multi-scale stochastic partial differential equations with fully local monotone coefficients. By introducing the evolution syste…
Strong averaging principle for nonautonomous slow-fast SPDEs driven by -stable processes
Yueling Li, Xiaobin Sun, Zijuan Wang +1
This paper considers a class of nonautonomous slow-fast stochastic partial differential equations driven by -stable processes for . By introducing the evolution sy…
Averaging principles for time-inhomogeneous multi-scale SDEs with partially dissipative coefficients
Xiaobin Sun, Jian Wang, Yingchao Xie
In this paper, we study averaging principles for a class of time-inhomogeneous stochastic differential equations (SDEs) with slow and fast time-scales, where the drift term in the…
Diffusion Approximation for Slow-Fast SDEs with State-Dependent Switching
Xiaobin Sun, Jue Wang, Yingchao Xie
In this paper, we study the diffusion approximation for slow-fast stochastic differential equations with state-dependent switching, where the slow component is th…
Averaging principles for time-inhomogeneous multi-scale SDEs via nonautonomous Poisson equations
Xiaobin Sun, Jian Wang, Yingchao Xie
The purpose of this paper is to establish asymptotic behaviors of time-inhomogeneous multi-scale stochastic differential equations (SDEs). To achieve them, we analyze the evolution…