Variational Procedure of Deriving Diffusion Equation for Spreading in Porous Media

Kira Logvinova

Department of Information Systems and Technologies,National Research University Higher School of Economics, Nizhny Novgorod, Russia.

DOI: 10.4236/am.2013.410191                

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.

Keywords

Diffusion Equations; Heterogeneous Media; Variational Method

Conflicts of Interest

The authors declare no conflicts of interest.

References

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