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Simulation of the critical fragmentation equation with binary fission

2017-04-06

Marie Doumic 1
1 MAMBA - Modelling and Analysis for Medical and Biological Applications
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt
Description : This video is linked to the preprint "Explicit solution and fine asymptotics for a critical growth-fragmentation equation" https://hal.archives-ouvertes.fr/view/index/docid/1510960 It simulates the quantity $\sqrt{t} n(t,y)$ with $n$ solution of the equation $$ \frac{\partial}{\partial t} n(t,y) + n(t,y)=n(t,y+\log 2),\qquad n(0,y)=n_0(y), $$ with $n_0(y)$ a gaussian of mean $0$ and standard deviation $0.1$.
Domain :
Keywords : Fragmentation equation Asymptotic behaviour of estimators periodicity
https://hal.archives-ouvertes.fr/medihal-01510970
Contributor : Marie Doumic <>
Submitted on : Thursday, April 20, 2017 - 10:49:21 AM
Last modification on : Wednesday, December 9, 2020 - 3:09:22 PM