On the uniqueness for coagulation and multiple fragmentation equation

TL;DR

This paper proves the uniqueness of weak solutions for the continuous coagulation and multiple fragmentation equation, accommodating a broad class of kernels, including singular and physically relevant cases.

Contribution

It generalizes previous results by establishing uniqueness for a wider range of unbounded and singular kernels in coagulation-fragmentation models.

Findings

Proved uniqueness of weak solutions for broad kernel classes

Included kernels with singularities at the origin

Extended applicability to physically relevant kernels

Abstract

In this article, the uniqueness of weak solutions to the continuous coagulation and multiple fragmentation equation is proved for a large range of unbounded coagulation and multiple fragmentation kernels. The multiple fragmentation kernels may have a singularity at origin. This work generalizes the preceding ones, by including some physically relevant coagulation and fragmentation kernels which were not considered before.