Setup
Analytical formulation
Gaussian kernel gives solution with u(r,0)=delta(r), lim u(r,t)->0 (r-∞). a=2 c t. In addition a loss term is included. Spherical symmetric solution in r.
![[Graphics:diff_files/diffusion_17.gif]](diff_files/diffusion_17.gif)
![[Graphics:diff_files/diffusion_18.gif]](diff_files/diffusion_18.gif)
Numerical estimates
Following Valery's equations at the end of our original proposal we get (sigma is tranport cross section)
Plug in numbers (cm units)
Created by Mathematica (August 18, 2005)