Homogenized model of diffusion in a locally periodic porous medium with nonlinear absorption at the boundary
DOI:
https://doi.org/10.15407/dopovidi2016.06.015Keywords:
Homogenization, diffusion, elliptic equation, third boundary condition, locally periodic porous medium, absorption function, conductivity tensorAbstract
We consider a boundary-value problem describing the process of stationary diffusion in a locally periodic porous medium with nonlinear absorption on the boundary. We study the asymptotic behavior of the solution, when the scale of the microstructure of the medium ε → 0. We have constructed the homogenized equation describing the main term of the asymptotics and deduced explicit formulas for effective characteristics of a medium that are coefficients of this equation.
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