Virginia TechKohler, Werner E.2014-04-092014-04-091977-10Kohler, 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/10.1063/1.5231550022-2488http://hdl.handle.net/10919/47064An 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.application/pdfenIn Copyrightinitial value problemsnumerical modellingperturbation theorywave equationswave propagationArticle - Refereedhttp://scitation.aip.org/content/aip/journal/jmp/18/10/10.1063/1.523155https://doi.org/10.1063/1.523155