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Talk

Ergodicity & travelling waves in a stochastic reaction-diffusion equation

  • Zachary Adams (MPI MiS, Leipzig)
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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.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • Mar 11, 2024 tba with Carlos Román Parra
  • Mar 15, 2024 tba with Esther Bou Dagher
  • May 21, 2024 tba with Immanuel Zachhuber