Spatial Homogenization of Stochastic Wave Equation with Large Interaction
Yongxin Jiang, Wei Wang, Zhaosheng Feng · Canadian Mathematical Bulletin · 2015
Abstract A dynamical approximation of a stochastic wave equation with large interaction is derived. A random invariant manifold is discussed. By a key linear transformation, the random invariant manifold is shown to be close to the random invariant manifold of a second-order stochastic ordinary differential equation.