A multiple-scales space-time analysis of a randomly perturbed one-dimensional wave equation

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dc.contributorVirginia Techen
dc.contributor.authorKohler, Werner E.en
dc.contributor.departmentMathematicsen
dc.date.accessed2014-03-20en
dc.date.accessioned2014-04-09T18:12:23Zen
dc.date.available2014-04-09T18:12:23Zen
dc.date.issued1977-10en
dc.description.abstractAn initial value problem for one_dimensional wave propagation is considered; the medium is assumed to be randomly perturbed as a function of both space and time. The stochastic perturbation theory of Papanicolaou and Keller [SIAM J. Appl. Math. 21, 287 (1971)] is applied directly in the space-time regime to derive transport equations for the first and second moments of the solution. These equations are solved in special cases.en
dc.identifier.citationKohler, W. E., "A multiple-scales space-time analysis of a randomly perturbed one-dimensional wave equation," J. Math. Phys. 18, 1978 (1977); http://dx.doi.org/10.1063/1.523155en
dc.identifier.doihttps://doi.org/10.1063/1.523155en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/47064en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/18/10/10.1063/1.523155en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectinitial value problemsen
dc.subjectnumerical modellingen
dc.subjectperturbation theoryen
dc.subjectwave equationsen
dc.subjectwave propagationen
dc.titleA multiple-scales space-time analysis of a randomly perturbed one-dimensional wave equationen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden

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