Spatial Homogenization of Stochastic Wave Equation with Large Interaction

Canadian mathematical bulletin

Yongxin Jiang³  Zhaosheng Feng¹  Wei Wang² 

[1] Department of Mathematics, University of Texas-Rio Grande Valley, Edinburg, TX 78539, USA;Department of Mathematics, Nanjing University, Nanjing, Jiangsu 210093, China;Department of Mathematics, Hohai University, Nanjing, Jiangsu 210098, China

关键词: stochastic wave equation;    homogeneous system;    approximation;    random invariant manifold;    Neumann boundary condition;   

DOI  :  10.4153/CMB-2015-083-4

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

A dynamical approximation of a stochastic waveequation 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 randominvariant manifoldof a second-order stochastic ordinary differential equation.

【 授权许可】

Unknown