Homogenization of linear hyperbolic stochastic partial differential equation with rapidly oscillating coefficients : the two scale convergence method

dc.contributor.authorMohammed, Mogtaba
dc.contributor.authorSango, Mamadou
dc.date.accessioned2016-06-09T05:34:44Z
dc.date.available2016-06-09T05:34:44Z
dc.date.issued2015
dc.description.abstractIn this paper we establish new homogenization results for stochastic linear hyperbolic equations with periodically oscillating coefficients. We first use the multiple expansion method to drive the homogenized problem. Next we use the two scale convergence method and Prokhorov’s and Skorokhod’s probabilistic compactness results. We prove that the sequence of solutions of the original problem converges in suitable topologies to the solution of a homogenized stochastic hyperbolic problem with constant coefficients. We also prove a corrector result.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.librarianhb2016en_ZA
dc.description.sponsorshipNational Research Foundation of South Africa and the University of Pretoria.en_ZA
dc.description.urihttp://www.iospress.nlen_ZA
dc.identifier.citationMohammed, M & Sango, M 2015, 'Homogenization of linear hyperbolic stochastic partial differential equation with rapidly oscillating coefficients : the two scale convergence method', Asymptotic Analysis, vol. 91, no. 3-4, pp. 341-371.en_ZA
dc.identifier.issn0921-7134 ( print )
dc.identifier.issn1875-8576 (online)
dc.identifier.other10.3233/ASY-141269
dc.identifier.urihttp://hdl.handle.net/2263/52908
dc.language.isoenen_ZA
dc.publisherIOS Pressen_ZA
dc.rightsIOS Pressen_ZA
dc.subjectHomogenizationen_ZA
dc.subjectTwo-scale convergenceen_ZA
dc.subjectHyperbolic stochastic PDEen_ZA
dc.subjectCorrector resulten_ZA
dc.subjectProkhorov and Skorokhod compactness resultsen_ZA
dc.titleHomogenization of linear hyperbolic stochastic partial differential equation with rapidly oscillating coefficients : the two scale convergence methoden_ZA
dc.typePostprint Articleen_ZA

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