带加性噪声的随机波动方程的惯性流形逼近

Approximationfor Inertial Manifold ofa Stochastic Wave Equation with Additive Noise

研究带加性噪声的波动方程惯性流形的Wong-Zakai型逼近.在分析了波动方程特征的基础上,考虑了基于不变流形下解的收敛,证明带光滑噪声的波动系统的惯性流形逼近原系统的惯性流形.

This paper is concerned with a Wong-Zakai type of approximation for the inertial manifold of a stochastic wave equation with additive noise.On the basis of an analysis of the characteristics of this stochastic wave equation,theconvergence of the solutions on the invariant manifolds is considered.It is proved that the inertial manifold of wave equations with smooth noise approximates that of the original system.