IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Propagation, diffusion and free boundaries

  • Feb. 2, 2018
  • 1 p.m.
  • LeConte 312

Abstract

In this talk I will discuss some of the mathematical theories on parabolic equations motivated by the desire of providing better models for various propagation phenomena. I will start by recalling briefly classical works of Fisher, Kolmogorov-Petrovski-Piskunov and Skellam; then I will present some recent results on models with free boundaries and compare them with classical results of Aronson-Weinberger and others; finally I will discuss the extensions of the theories (initially established in homogeneous media) to heterogeneous media.

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