Davydok A. Mathematical modelling diffusion flows in two-phase stochastically nonhomogeneous stratified structures

In the thesis the scientific problem of mathematical modelling diffusion flows in two-phase randomly nonhomogeneous stratified structures at arbitrary probable distribution of phases and stochastical thicknesses of inclusions is solved. For this purpose the approach to mathematical description of diffusion flows in randomly nonhomogeneous stratified bodies based on the formulation of the initial-boundary value problems directly for the mass flow function, obtaining the solution in the form of the integral Neumann series and its averaging over ensemble of phase configurations is developed. The software for simulation of diffusion flows in randomly nonhomogeneous structures is designed.