International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 4, Pages 195-216

Identification of a hydrogen transfer model with dynamical boundary conditions

Yury V. Zaika

Institute of Applied Mathematical Research, Karelian Research Centre, Russian Academy of Sciences, Petrozavodsk 185610, Russia

Received 25 March 2002

Copyright © 2004 Yury V. Zaika. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The nonlinear inverse problem of determining the hydrogen permeability parameters of stratified materials is considered. The model includes diffusion, invertible capture and sorption/desorption processes on surface, which leads to dynamical boundary conditions. For the concentration impulses method, the equation of stationary oscillations of concentration is obtained. Parametric identification scheme of the model is proposed. Techniques of Fourier series and conjugate equations are used.