20–22 mars 2024
Institut de Mathématiques de Toulouse
Fuseau horaire Europe/Paris

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

20 mars 2024, 16:20
30m
Amphithéâtre Laurent Schwartz, bâtiment 1R3 (Institut de Mathématiques de Toulouse)

Amphithéâtre Laurent Schwartz, bâtiment 1R3

Institut de Mathématiques de Toulouse

118 route de Narbonne\n31062 Toulouse Cedex

Orateur

Mingmin Zhang

Description

In the talk, I will present the logarithmic Bramson correction for Fisher-KPP equations on the lattice Z, that is 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 using only PDE arguments.

Documents de présentation

Aucun document.