A numerical scheme was presented for the analysis of steady-state non-linear diffusion in random heterogeneous media. The key was to solve the non-linear stochastic governing equations iteratively via an inexact Picard iteration scheme, in which the

A blow-up phenomenon for the non-classical diffusion equation was considered. It was found that, under suitable conditions on the initial data, a finite-time blow-up could be proved.

Blow Up of the Nonclassical Diffusion Equation. H.Song, C.Zhong: Journal of Mathematical Physics, 2009, 50[4], 042702