Existence and uniqueness of weak solutions to the singular kernels coagulation equation with collisional breakage
Analysis of PDEs
2018-06-12 v1
Abstract
In this article, we investigate the existence and uniqueness of weak solutions to the continuous coagulation equation with collisional breakage for a class of unbounded collision kernels and distribution function. The collision kernels and distribution functions may have a singularity on both the coordinate axes. The proof of the existence result is based on a classical weak L^1 compactness method applied to suitably chosen to approximate equations. The question of uniqueness is also shown for some restricted class of collision kernels.
Keywords
Cite
@article{arxiv.1806.03911,
title = {Existence and uniqueness of weak solutions to the singular kernels coagulation equation with collisional breakage},
author = {Prasanta Kumar Barik and Ankik Kumar Giri},
journal= {arXiv preprint arXiv:1806.03911},
year = {2018}
}