Andrej Zlatoš

San Diego

Homogenization in front propagation models and non-autonomous subadditive theorems

Homogenization is a general principle that the dynamics of physical processes occurring in periodic or random environments often become effectively homogeneous in the long-time-large-scale limit. In this talk I will show that homogenization occurs in front propagation models, specifically reaction-diffusion equations with KPP reactions and G-equations, with both time-periodic and time-random reactions and coefficients. The proofs rely on two crucial new tools, virtual linearity of KPP reaction-diffusion dynamics and non-autonomous versions of Kingman’s subadditive ergodic theorem.