Spatial Homogenization of Stochastic Wave Equation with Large Interaction
Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 542-552
Voir la notice de l'article provenant de la source Cambridge
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.
Mots-clés :
60F10, 60H15, 35Q55, stochasticwave equation, homogeneous system, approximation, random invariant manifold, Neumann boundary condition
Jiang, Yongxin; Wang, Wei; Feng, Zhaosheng. Spatial Homogenization of Stochastic Wave Equation with Large Interaction. Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 542-552. doi: 10.4153/CMB-2015-083-4
@article{10_4153_CMB_2015_083_4,
author = {Jiang, Yongxin and Wang, Wei and Feng, Zhaosheng},
title = {Spatial {Homogenization} of {Stochastic} {Wave} {Equation} with {Large} {Interaction}},
journal = {Canadian mathematical bulletin},
pages = {542--552},
year = {2016},
volume = {59},
number = {3},
doi = {10.4153/CMB-2015-083-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-083-4/}
}
TY - JOUR AU - Jiang, Yongxin AU - Wang, Wei AU - Feng, Zhaosheng TI - Spatial Homogenization of Stochastic Wave Equation with Large Interaction JO - Canadian mathematical bulletin PY - 2016 SP - 542 EP - 552 VL - 59 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-083-4/ DO - 10.4153/CMB-2015-083-4 ID - 10_4153_CMB_2015_083_4 ER -
%0 Journal Article %A Jiang, Yongxin %A Wang, Wei %A Feng, Zhaosheng %T Spatial Homogenization of Stochastic Wave Equation with Large Interaction %J Canadian mathematical bulletin %D 2016 %P 542-552 %V 59 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-083-4/ %R 10.4153/CMB-2015-083-4 %F 10_4153_CMB_2015_083_4
Cité par Sources :