Mass-conserving weak solutions to the coagulation and collisional breakage equation with singular rates
Analysis of PDEs
2019-11-04 v1
Abstract
In this article, the existence of mass-conserving solutions is investigated to the continuous coagulation and collisional breakage equation with singular coagulation kernels. Here, the probability distribution function attains singularity near the origin. The existence result is constructed by using both conservative and non-conservative truncations to the continuous coagulation and collisional breakage equation. The proof of the existence result relies on a classical weak L1 compactness method.
Keywords
Cite
@article{arxiv.1911.00200,
title = {Mass-conserving weak solutions to the coagulation and collisional breakage equation with singular rates},
author = {Prasanta Kumar Barik and Ankik Kumar Giri and Rajesh Kumar},
journal= {arXiv preprint arXiv:1911.00200},
year = {2019}
}