TY - JOUR AU - M. V. Goncharenko AU - L. O. Khilkova PY - 2015/09/25 Y2 - 2024/03/29 TI - Homogenized Model of Diffusion in Porous Media with Nonlinear Absorption on the Boundary JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 67 IS - 9 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2059 AB - 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. ER -