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Variational Procedure of Deriving Diffusion Equation for Spreading in Porous Media

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DOI: 10.4236/am.2013.410191    2,900 Downloads   4,021 Views  
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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.

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The authors declare no conflicts of interest.

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Logvinova, K. (2013) Variational Procedure of Deriving Diffusion Equation for Spreading in Porous Media. Applied Mathematics, 4, 1412-1416. doi: 10.4236/am.2013.410191.


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