Global classical solutions to the continuous coagulation equation with collisional breakage
Analysis of PDEs
2018-08-23 v1
Abstract
Existence and uniqueness of mass-conserving classical solutions to the continuous coagulation equation with collisional breakage are investigated for an unbounded class of collision kernels and a particular case of the distribution function. The distribution function may have a possibility to attain singularity at the origin. The proof of the existence result relies on the compactness method. Moreover, a uniqueness result is shown. In addition, it is observed that the uniqueness solution is mass-conserving.
Cite
@article{arxiv.1808.07130,
title = {Global classical solutions to the continuous coagulation equation with collisional breakage},
author = {Prasanta Kumar Barik and Ankik Kumar Giri},
journal= {arXiv preprint arXiv:1808.07130},
year = {2018}
}