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Variational Procedure of Deriving Diffusion Equation for Spreading in Porous Media
Department of Information Systems and Technologies,National Research University Higher School of Economics, Nizhny Novgorod, Russia
- 1 Department of Information Systems and Technologies,National Research University Higher School of Economics, Nizhny Novgorod, Russia
Applied Mathematics·Volume 04 (2013)·Pages 1412–1416·Published 25 September 2013·DOI10.4236/am.2013.410191
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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.
KeywordsDiffusion EquationsHeterogeneous MediaVariational Method
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