W
Wei Wang
Researcher at Nanjing University
Publications - 18
Citations - 489
Wei Wang is an academic researcher from Nanjing University. The author has contributed to research in topics: Stochastic partial differential equation & Stochastic differential equation. The author has an hindex of 8, co-authored 18 publications receiving 391 citations. Previous affiliations of Wei Wang include University of Adelaide.
Papers
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Journal ArticleDOI
Average and deviation for slow-fast stochastic partial differential equations
TL;DR: In this paper, the authors derived an averaged equation for a class of stochastic partial differential equations without any Lipschitz assumption on the slow modes and derived the rate of convergence in probability as a byproduct.
Book
Effective Dynamics of Stochastic Partial Differential Equations
Jinqiao Duan,Wei Wang +1 more
TL;DR: In this paper, the authors provide an accessible introduction to probability tools in Hilbert space and basics of stochastic partial differential equations, as well as exercises and problems to enhance comprehension.
Journal ArticleDOI
Limiting dynamics for stochastic wave equations
TL;DR: In this paper, the asymptotic behavior for a stochastic wave equation and a heat equation is investigated. And the authors show that the stationary solutions of the two problems converge in probability to some stationary solution of the heat equation.
Journal ArticleDOI
Large deviations and approximations for slow–fast stochastic reaction–diffusion equations
TL;DR: In this article, a large deviation principle is derived for a class of stochastic reaction-diffusion PDEs with slow-fast components, and the rate function is exactly that of the averaged equation plus the fluctuating deviation.
Journal ArticleDOI
Slow manifold and averaging for slow–fast stochastic differential system
TL;DR: In this article, an intermediate reduced model for stochastic dynamical systems with multiple time scales was obtained and explored for a slow-fast system when the fast mode is driven by white noise.