Homogenization of a system of semilinear diffusion-reaction equations in an H^{1,p} setting
Hari Shankar Mahato, Michael C. Böhm · DOAJ (DOAJ: Directory of Open Access Journals) · 2013
In this article, homogenization of a system of semilinear multi-species diffusion-reaction equations is shown. The presence of highly nonlinear reaction rate terms on the right-hand side of the equations make the model difficult to analyze. We obtain some a-priori estimates of the solution which give the strong and two-scale convergences of the solution. We homogenize this system of diffusion-reaction equations by passing to the limit using two-scale convergence.