Homogenization of Reaction-Diffusion systems and related topics

Abstract: In this talk, we address certain periodic homogenization problems of reaction-diffusion systems arising in the context of reversible chemistry. We try to highlight the main difficulties involved in the mathematical analysis of such models. The importance of the entropy dissipation structure of the rate functions involved in reversible chemical kinetics will be emphasised. We will be working with multiplier based energy method as applicable to these systems and the parabolic duality estimates. We also hope to highlight some of the open questions related to these models. For homogenization purposes, we will be employing the method of two-scale convergence, which will be briefly introduced during the talk.