Talk

Ergodicity & travelling waves in a stochastic reaction-diffusion equation

  • Zachary Adams (MPI MiS, Leipzig)
Live Stream

Abstract

In this talk, we survey some classical results on the speed of travelling waves in the FKPP equation, which is a stochastic reaction-diffusion equation arising in population genetics.

We review techniques used to prove the existence of a deterministic asymptotic wave speed in the FKPP equation. We focus in particular on the arguments used by Mueller & Sowers (1995) and Conlon & Doering (2005).

Time permitting, we will discuss the difficulties associated with generalizing results obtained for this model to travelling wave solutions in other SPDE.

Upcoming Events of this Seminar

  • Montag, 14.07.25 tba with Alexandra Holzinger
  • Dienstag, 15.07.25 tba with Anna Shalova
  • Dienstag, 12.08.25 tba with Sarah-Jean Meyer
  • Freitag, 15.08.25 tba with Thomas Suchanek
  • Freitag, 22.08.25 tba with Nikolay Barashkov
  • Freitag, 29.08.25 tba with Andreas Koller