A free boundary problem arising from branching Brownian motion with selection
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Publication:5009308
DOI10.1090/TRAN/8370zbMATH Open1475.35420arXiv2005.09384OpenAlexW3112831651MaRDI QIDQ5009308
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Publication date: 20 August 2021
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/2005.09384
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