Personal tools

Theme for TIFR Centre For Applicable Mathematics, Bangalore

You are here: Home / Asymptotic analysis of Reaction-Diffusion systems with Entropy dissipation

# Asymptotic analysis of Reaction-Diffusion systems with Entropy dissipation

Dr. Harsha Hutridurga, DPMMS, Centre for Mathematical Sciences, University of Cambridge
 Speaker Dr. Harsha Hutridurga, DPMMS, Centre for Mathematical Sciences, University of Cambridge Jan 05, 2016 from 03:30 PM to 04:30 PM LH 006 vCal iCal

Abstract: We review some result results, joint with Gregoire Allaire, regarding the homogenization of a class of reaction-diffusion systems with highly oscillating coefficients. Reversible chemical reactions are considered. The analyses of reaction-diffusion systems in the case of species-dependent diffusion coefficients are quite non-trivial. We derive uniform (with respect to the heterogeneous length-scale) $L^p$ estimates on the solution. We use the now well-known two-scale convergence method to derive effective equations which happen to be cross-diffusion models. We review some recent results with regard to well-posedness theory for  reaction-diffusion systems. We shall also present a wide range of open problems in connection to reaction-diffusion systems where the rate functions are given by law of mass action.

Filed under: