A multiple-scales space-time analysis of a randomly perturbed one-dimensional wave equation
dc.contributor | Virginia Tech | en |
dc.contributor.author | Kohler, Werner E. | en |
dc.contributor.department | Mathematics | en |
dc.date.accessed | 2014-03-20 | en |
dc.date.accessioned | 2014-04-09T18:12:23Z | en |
dc.date.available | 2014-04-09T18:12:23Z | en |
dc.date.issued | 1977-10 | en |
dc.description.abstract | An 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.format.mimetype | application/pdf | en |
dc.identifier.citation | Kohler, 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/10.1063/1.523155 | en |
dc.identifier.doi | https://doi.org/10.1063/1.523155 | en |
dc.identifier.issn | 0022-2488 | en |
dc.identifier.uri | http://hdl.handle.net/10919/47064 | en |
dc.identifier.url | http://scitation.aip.org/content/aip/journal/jmp/18/10/10.1063/1.523155 | en |
dc.language.iso | en | en |
dc.publisher | AIP Publishing | en |
dc.rights | In Copyright | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
dc.subject | initial value problems | en |
dc.subject | numerical modelling | en |
dc.subject | perturbation theory | en |
dc.subject | wave equations | en |
dc.subject | wave propagation | en |
dc.title | A multiple-scales space-time analysis of a randomly perturbed one-dimensional wave equation | en |
dc.title.serial | Journal of Mathematical Physics | en |
dc.type | Article - Refereed | en |
dc.type.dcmitype | Text | en |
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