AM  Vol.4 No.10 , October 2013
Variational Procedure of Deriving Diffusion Equation for Spreading in Porous Media
Author(s) Kira Logvinova
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
[1]   K. Logvinova and O. Kozyrev, “Models for the Average of the Solutions to a P.D.E. with Stochastic Coefficients,” European Journal of Scientific Research, Vol. 45, No. 3, 2010, pp. 383-390.

[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.

[4]   V. I. Klyatskin “Waves and Stochastic Equations in Randomly Inhomogeneous Media,” Edition de Physique, Paris, 1985.

[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/
1.1796211


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