Agenda de l’IDP

Séminaire Orléans

The logarithmic correction for Fisher-KPP equations on the lattice Z
Mingmin Zhang
Thursday 18 April 2024 14:00 -  Orléans -  Salle de Séminaires

Résumé :

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. 



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