The Discrete Unbounded Coagulation-Fragmentation Equation with Growth, Decay and Sedimentation
Dynamical Systems
2018-09-05 v1 Classical Analysis and ODEs
Functional Analysis
Numerical Analysis
Abstract
In this paper we study the discrete coagulation--fragmentation models with growth, decay and sedimentation. We demonstrate the existence and uniqueness of classical global solutions provided the linear processes are sufficiently strong. This paper extends several previous results both by considering a more general model and and also signnificantly weakening the assumptions. Theoretical conclusions are supported by numerical simulations.
Keywords
Cite
@article{arxiv.1809.00046,
title = {The Discrete Unbounded Coagulation-Fragmentation Equation with Growth, Decay and Sedimentation},
author = {Jacek Banasiak and Luke O. Joel and Sergey Shindin},
journal= {arXiv preprint arXiv:1809.00046},
year = {2018}
}
Comments
29 pages and 34 figures