Title: Temperature effects for general diffusion and chemical reaction dynamics

Affilication: Illinois Institute of Technology

Abstract: In this talk I will discuss the derivation of thermodynamical systems arising from various biological and engineering applications. The focus will be the temperature effects which capture the lost information and under-resolved systems in the coarse graining modeling process. These problem give formidable challenges to the mathematical analysis and numerical simulations. I will demonstrate the difficulties and subtleties by looking at these effects in various general diffusion dynamics and those involving chemical reactions.