2018
Том 70
№ 2

# Homogenized Model of Diffusion in Porous Media with Nonlinear Absorption on the Boundary

Abstract

We consider a boundary-value problem used to describe the process of stationary diffusion in a porous medium with nonlinear absorption on the boundary. We study the asymptotic behavior of the solution when the medium becomes more and more porous and denser located in a bounded domain $Q$. A homogenized equation for the description of the main term of the asymptotic expansion is constructed.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 9, pp 1349-1366.

Citation Example: Goncharenko M. V., Khil’kova L. A. Homogenized Model of Diffusion in Porous Media with Nonlinear Absorption on the Boundary // Ukr. Mat. Zh. - 2015. - 67, № 9. - pp. 1201-1216.