The continuous version of the generalized exchange-driven growth model
Abstract
In this article, we discuss the continuous version of the generalized exchange-driven growth model which is a variant of the coagulation model in which a smaller size particle is detached from a bigger one and merges with another particle. This new model is a continuous extension of the generalized exchange-driven growth model originally formulated in a discrete context [4]. In this work, we examine the existence of weak solutions to the continuous version of the generalized exchange-driven growth model under a suitable reaction rate. Under an additional condition on the reaction rates, a uniqueness result is established. Finally, we prove that solutions satisfy the mass-conserving property and the conservation of the total number of particles for coagulation rates with linear bounds.
Cite
@article{arxiv.2509.01316,
title = {The continuous version of the generalized exchange-driven growth model},
author = {Prasanta K. Barik and Fernando P. da Costa and João T. Pinto and Rafael Sasportes},
journal= {arXiv preprint arXiv:2509.01316},
year = {2025}
}