Generalized diffusion equation for multiple scattered elastic waves

We study multiple scattering of elastic waves using a generalized diffusion approximation of the radiative transfer equation applied to spherically symmetric scatterers. This generalized diffusion equation allows us to keep track of the two elastic wave types as well as the mode conversions. It describes the process towards equipartition and fills, as such, a gap between the radiative transfer equation and the conventional diffusion approximation. The effects of boundary conditions and dissipation on the energy partitioning are studied.