Can I read The KPP equation as a scaling limit of locally interacting Brownian particles on EtoBox?

The KPP equation as a scaling limit of locally interacting Brownian particles by Flandoli, Franco; Huang, Ruojun is a scholarly article available to read on EtoBox.

What is The KPP equation as a scaling limit of locally interacting Brownian particles about?

Fisher-KPP equation is proved to be the scaling limit of a system of Brownian particles with local interaction. Particles proliferate and die depending on the local concentration of other particles. Opposite to discrete models, controlling concentration of particles is a major difficulty in Brownian particle interaction; local interactions instead of mean field or moderate ones makes it more difficult to implement the law of large numbers properties. The approach taken here to overcome these difficulties is largely inspired by A. Hammond and F. Rezakhanlou [10] implemented there in the mean free path case instead of the local interaction regime.

Author

Flandoli, Franco; Huang, Ruojun

Published

2021

Language

EN