Séminaire Orléans

The logarithmic correction for Fisher-KPP equations on the lattice Z

by Mingmin Zhang

Europe/Paris
Salle de Séminaires (Orléans)

Salle de Séminaires

Orléans

Description

In this talk, I will present the logarithmic correction for Fisher-KPP equations on the lattice Z. The level sets of solutions with step-like initial conditions are located at position c∗t − (3 / 2λ∗) ln t + O(1) as t → +∞ for some explicit positive constants c∗ and λ∗. This extends a well-known result of Bramson in the continuous setting to the discrete case by using purely PDE arguments.