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Spatial Homogenization of Stochastic Wave Equation with Large Interaction

  Published:2016-02-04
 Printed: Sep 2016
  • Yongxin Jiang,
    Department of Mathematics, Hohai University, Nanjing, Jiangsu 210098, China
  • Wei Wang,
    Department of Mathematics, Nanjing University, Nanjing, Jiangsu 210093, China
  • Zhaosheng Feng,
    Department of Mathematics, University of Texas-Rio Grande Valley, Edinburg, TX 78539, USA
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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.
Keywords: stochastic wave equation, homogeneous system, approximation, random invariant manifold, Neumann boundary condition stochastic wave equation, homogeneous system, approximation, random invariant manifold, Neumann boundary condition
MSC Classifications: 60F10, 60H15, 35Q55 show english descriptions Large deviations
Stochastic partial differential equations [See also 35R60]
NLS-like equations (nonlinear Schrodinger) [See also 37K10]
60F10 - Large deviations
60H15 - Stochastic partial differential equations [See also 35R60]
35Q55 - NLS-like equations (nonlinear Schrodinger) [See also 37K10]
 

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