Homogenization of a nonlinear reaction-diffusion problem in a porous medium with double periodicity
Hongru Ma, Yanbin Tang · Applicable Analysis · 2025
This paper studies the asymptotic behavior of a nonlinear reaction-diffusion problem in a double periodic porous medium consisting of two components separated by an interface. We consider the perfect transmission conditions at the interface, i.e. the continuity of the solution and of the flux. Using the so called time-dependent unfolding operator method, we obtain the homogenized model and some corrector results as the small parameter ϵ tends to zero.