Skip to Main content Skip to Navigation




Distributed under a Creative Commons Attribution - NoDerivatives 4.0 International License



Les métriques sont temporairement indisponibles

Simulation of the growth-fragmentation equation in a periodic case - Non-dissipative numerical scheme


Marie Doumic 1
1 MAMBA - Modelling and Analysis for Medical and Biological Applications
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt
Description : This video illustrates the study by E. Bernard, M. Doumic and P. Gabriel by showing the time behaviour of the solution to the following growth-fragmentation equation: $$\frac{\partial}{\partial t} u(t,x) + \frac{\partial}{\partial t} (x u(t,x)) + B(x)u(t,x)=4B(2x)u(t,2x),\qquad u(0,x)=u^{in}(x).$$ The numerical scheme is explicit, and uses a splitting between the transport operator and the fragmentation operator, on a geometric grid. This allows to capture the asymptotic periodic behaviour (due to a lack of dissipativity in the equation).
Contributor : Marie Doumic Connect in order to contact the contributor
Submitted on : Friday, December 2, 2016 - 3:36:13 PM
Last modification on : Friday, January 21, 2022 - 3:21:44 AM