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Other research product . Other ORP type . 2017

Simulation of the critical fragmentation equation with binary fission

Doumic, Marie;
English
Published: 06 Apr 2017
Publisher: HAL CCSD
Country: France
Abstract

Linked to the preprint hal-01510960; 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/1510960It 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 $0.1$.

Subjects

Fragmentation equation, Asymptotic behaviour of estimators, periodicity, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]

Funded by
EC| SKIPPERAD
Project
SKIPPERAD
Simulation of the Kinetics and Inverse Problem for the Protein PolymERization in Amyloid Diseases (Prion, Alzheimer’s)
  • Funder: European Commission (EC)
  • Project Code: 306321
  • Funding stream: FP7 | SP2 | ERC
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