International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 23, Pages 1447-1463
doi:10.1155/S0161171203203288

Nonlinear dynamical boundary-value problem of hydrogen thermal desorption

Abstract

The nonlinear boundary-value problem for the diffusion equation, which models gas interaction with solids, is considered. The model includes diffusion and the sorption/desorption processes on the surface, which leads to dynamical nonlinear boundary conditions. The boundary-value problem is reduced to an integro-differential equation of a special kind; existence and uniqueness of the classical (differentiable) solution theorems are proved. The results of numerical experiments are presented.