Deterministic and Stochastic Becker-D\"oring equations: Past and Recent Mathematical Developments
Mathematical Physics
2016-09-05 v1 math.MP
Abstract
We present a survey on the results on a particular coagulation-fragmentation model given by the Becker-D\"oring equations. For both the deterministic and stochastic versions, we include well-posedness, long-time behavior, convergence rate towards equilibrium, coarsening and relation to transport equations, time-dependent properties, metastability and classical nucleation theory. All along this survey, we highlight recent results and open questions.
Keywords
Cite
@article{arxiv.1609.00697,
title = {Deterministic and Stochastic Becker-D\"oring equations: Past and Recent Mathematical Developments},
author = {Erwan Hingant and Romain Yvinec},
journal= {arXiv preprint arXiv:1609.00697},
year = {2016}
}
Comments
19 pages