Bilushchak Y. Mathematical modeling of diffusion in randomly inhomogeneous layered bodies

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0413U005747

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

30-09-2013

Specialized Academic Board

Д 35.052.05

Lviv Polytechnic National University

Essay

In the thesis the scientific problem of mathematical modeling of diffusion processes in two-phase stratified bodies including arbitrary size inclusions individual phases and their random nature and dispersion of the field and field correlation function of concentration. To this end, developed an approach to mathematical modeling of diffusion and the method of the variance of the random field of concentration and two-point correlation function of stochastic fields in layered structures using the Neumann series , the procedure of averaging over ensemble of field configurations.

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