DIFFUSION APPROXIMATION OF RADIATIVE TRANSFER EQUATIONS IN A CHANNEL

摘要: We address the propagation of elastic waves generated by an earthquake in earth crust modeled a channel separated from atmosphere and mantel two horizontal interfaces. Geophysical studies have shown validity radiative transfer this frequency regime to describe phase space energy density seismic waves. For long times large distances, weakly absorbing media can be approximated diffusion equation. However, thickness is order transport mean free path, average distance it takes for with wavenumber v scattered into another v′ interaction inhomogeneous underlying medium. Hence there cannot vertical direction. This paper shows that still valid following sense. The solution factors asymptotically limit vanishing paths as product two-dimensional term directions ...