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.

has been cited by the following article:

• TITLE: Variational Procedure of Deriving Diffusion Equation for Spreading in Porous Media

  AUTHORS: Kira Logvinova

  KEYWORDS: Diffusion Equations; Heterogeneous Media; Variational Method

  JOURNAL NAME: Applied Mathematics, Vol.4 No.10, October 4, 2013

  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.