Effective macroscopic dynamics of stochastic partial differential equations in perforated domains

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dc.contributor.authorWang, W.
dc.contributor.authorCao, D.
dc.contributor.authorDuan, J.
dc.date.issued2006
dc.description.abstractAn effective macroscopic model for a stochastic microscopic system is derived. The original microscopic system is modeled by a stochastic partial differential equation defined on a domain perforated with small holes or heterogeneities. The homogenized effective model is still a stochastic partial differential equation but defined on a unified domain without holes. The solutions of the microscopic model is shown to converge to those of the effective macroscopic model in probability distribution, as the size of holes diminishes to zero. Moreover, the long time effectivity of the macroscopic system in the sense of \emph{convergence in probability distribution}, and the effectivity of the macroscopic system in the sense of \emph{convergence in energy} are also proved.
dc.description.statementofresponsibilityWei Wang, Daomin Cao and Jinqiao Duan
dc.identifier.citationSIAM Journal on Mathematical Analysis, 2006; 38(5):1508-1527
dc.identifier.doi10.1137/050648766
dc.identifier.issn0036-1410
dc.identifier.issn1095-7154
dc.identifier.urihttp://hdl.handle.net/2440/55775
dc.language.isoen
dc.publisherSiam Publications
dc.rightsCopyright © 2006. Siam Publications All rights reserved.
dc.source.urihttps://doi.org/10.1137/050648766
dc.subjectMathematics - Analysis of PDEs
dc.subjectMathematics - Dynamical Systems
dc.subjectMathematics - Probability
dc.subject60H15
dc.subject86A05
dc.subject34D35
dc.titleEffective macroscopic dynamics of stochastic partial differential equations in perforated domains
dc.typeJournal article
pubs.publication-statusPublished

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