English

Modelling Silicosis: The Structure of Equilibria

Classical Analysis and ODEs 2019-01-31 v1

Abstract

We analyse the structure of equilibria of a coagulation-fragmentation-death model of silicosis. We present exact multiplicity results in the particular case of piecewise-constant coefficients, results on existence and non-existence of equilibria in the general case, as well as precise asymptotics for the infinite series that arise in the case of power law coefficients.

Keywords

Cite

@article{arxiv.1901.10670,
  title  = {Modelling Silicosis: The Structure of Equilibria},
  author = {Fernando P. da Costa and Michael Drmota and Michael Grinfeld},
  journal= {arXiv preprint arXiv:1901.10670},
  year   = {2019}
}
R2 v1 2026-06-23T07:26:37.049Z