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Videos Year : 2017

Simulation of the critical fragmentation equation with binary fission

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Abstract

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 $0.1$.

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medihal-01510970 , version 1 (20-04-2017)

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  • HAL Id : medihal-01510970 , version 1

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Marie Doumic. Simulation of the critical fragmentation equation with binary fission. 2017. ⟨medihal-01510970⟩
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