# Uniform moment propagation for the Becker-D\"oring equation

## TL;DR

This paper proves that algebraic and stretched exponential moments remain uniformly bounded over time for the Becker-Döring equations, using maximum principle techniques and convergence rates.

## Contribution

It introduces a novel approach to establish uniform moment propagation for the Becker-Döring equations combining maximum principle and convergence analysis.

## Key findings

- Uniform-in-time propagation of algebraic moments
- Uniform-in-time propagation of stretched exponential moments
- Utilization of maximum principle and convergence rates

## Abstract

We show uniform-in-time propagation of algebraic and stretched exponential moments for the Becker-D\"oring equations. Our proof is based upon a suitable use of the maximum principle together with known rates of convergence to equilibrium.