Random multiple-fragmentation and flow of particles on a surface

We investigate stochastic fragmentation processes for particles with spatial position. The mathematical problem models the time evolution of a system of particles which move on an Euclidean surface driven by a given force (e.g., gravitational, fluid interaction, repulsion/attraction), and split in f...

Full description

Saved in:

Bibliographic Details
Published in:	Journal of evolution equations Vol. 21; no. 4; pp. 4773 - 4797
Main Authors:	Beznea, Lucian, Ionescu, Ioan R., Lupaşcu-Stamate, Oana
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01-12-2021 Springer Nature B.V
Subjects:	Analysis Differential equations Fragmentation Mathematical models Mathematical problems Mathematics Mathematics and Statistics 60G44 65C30 Fragmentation with spatial position Numerical simulation Multiple-fragmentation process Fragmentation equation and kernel Stochastic differential equation of fragmentation 82C80 60J35 47D07 60J45
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	We investigate stochastic fragmentation processes for particles with spatial position. The mathematical problem models the time evolution of a system of particles which move on an Euclidean surface driven by a given force (e.g., gravitational, fluid interaction, repulsion/attraction), and split in fragments with smaller masses and velocities. We establish a multiple-fragmentation process and we solve the corresponding stochastic integro-differential equation. Finally, we present several numerical simulations of such processes.
ISSN:	1424-3199 1424-3202
DOI:	10.1007/s00028-021-00732-z