Accession Number : AD0768197

Title :   Wave Propagation in Continuous Random Media,

Corporate Author : CALIFORNIA UNIV LOS ANGELES DEPT OF MATHEMATICS

Personal Author(s) : Lange,Charles G.

Report Date : 1970

Pagination or Media Count : 34

Abstract : A study is made of the way in which small random inhomogeneities in a transmission medium affect the statistical properties of a system of waves. It is shown that provided the spectral cumulants are sufficiently smooth at some initial time, a sequence of closures for the zeroth order spectral functions can be deduced which describe asymptotically the transfer of energy between wave numbers. Of particular importance is the fact that the closure equations are derived without the need to resort to ad hoc statistical assumptions. The general theory is applied to the problem of the propagation of water waves over an irregular bottom topography. (Author)

Descriptors :   (*WATER WAVES, STATISTICAL ANALYSIS), STOCHASTIC PROCESSES, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE