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

作者：Goncharenko M V^*; Khil'kova L A

来源：Ukrainian Mathematical Journal, 2016, 67(9): 1349-1366.

DOI：10.1007/s11253-016-1158-9

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 Omega. A homogenized equation for the description of the main term of the asymptotic expansion is constructed.

• 出版日期2016-2