A free boundary problem arising from branching Brownian motion with selection
Analysis of PDEs
2020-05-20 v1 Probability
Abstract
We study a free boundary problem for a parabolic partial differential equation in which the solution is coupled to the moving boundary through an integral constraint. The problem arises as the hydrodynamic limit of an interacting particle system involving branching Brownian motion with selection, the so-called Brownian bees model which is studied in a companion paper. In this paper we prove existence and uniqueness of the solution to the free boundary problem, and we characterise the behaviour of the solution in the large time limit.
Cite
@article{arxiv.2005.09384,
title = {A free boundary problem arising from branching Brownian motion with selection},
author = {Julien Berestycki and Éric Brunet and James Nolen and Sarah Penington},
journal= {arXiv preprint arXiv:2005.09384},
year = {2020}
}
Comments
53 pages