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