Spatial Homogenization of Stochastic Wave Equation with Large Interaction
Printed: Sep 2016
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
of a second-order stochastic ordinary differential equation.
stochastic wave equation, homogeneous system, approximation, random invariant manifold, Neumann boundary condition
60F10 - Large deviations
60H15 - Stochastic partial differential equations [See also 35R60]
35Q55 - NLS-like equations (nonlinear Schrodinger) [See also 37K10]