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Spatial Homogenization of Stochastic Wave Equation with Large Interaction

Published online by Cambridge University Press:  20 November 2018

Yongxin Jiang ,
Wei Wang  and
Zhaosheng Feng
Yongxin Jiang
Affiliation:
Department of Mathematics, Hohai University, Nanjing, Jiangsu 210098, China e-mail: yxinjiang@hhu.edu.cn
Wei Wang
Affiliation:
Department of Mathematics, Nanjing University, Nanjing, Jiangsu 210093, China e-mail: wangweinju@aliyun.com
Zhaosheng Feng
Affiliation:
Department of Mathematics, University of Texas-Rio Grande Valley, Edinburg, TX 78539, USA e-mail: zhaosheng.feng@utrgv.edu
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Abstract

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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

60F1060H1535Q55stochasticwave equationhomogeneous systemapproximationrandom invariant manifold, Neumann boundary condition
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 59 , Issue 3 , 01 September 2016 , pp. 542 - 552
Copyright
Copyright © Canadian Mathematical Society 2016

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