Simulation of the critical fragmentation equation with binary fission
Résumé
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 $0.1$.
