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 AM  Vol.4 No.10 , October 2013
Variational Procedure of Deriving Diffusion Equation for Spreading in Porous Media
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.
Cite this paper: 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.
References

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[2]   O. Kozyrev and K. Logvinova, “Small Scale Models for the Spreading of Matter in Disordered Porous Media,” European Journal of Scientific Research, Vol. 45, No. 1, 2010, pp. 64-78.

[3]   O. Kozyrev, “Diffusion Fractional Models for a Complex Porous Media in a Random Force Field for 3D Case,” European Journal of Scientific Research, Vol. 95, No. 3, 2013, pp. 436-443.

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[5]   K. Logvinova and M.-C. Neel, “A Fractional Equation for Anomalous Diffusion in a Randomly Heterogeneous Po rous Media,” Chaos, Vol. 14, No. 4, 2004, pp. 982-987. http://dx.doi.org/10.1063/
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