TITLE:
Variational Procedure of Deriving Diffusion Equation for Spreading in Porous Media
AUTHORS:
Kira Logvinova
KEYWORDS:
Diffusion Equations; Heterogeneous Media; Variational Method
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.10,
October
4,
2013
ABSTRACT:
We proposed the mathematical model and concrete example of how to use the notion of functional derivatives in order to arrive at a macroscopic equation for dispersion in disordered media. In the sake of simplicity, we considered the case of random process being a Gaussian process.