English

A note on mass-conserving solutions to the coagulation-fragmentation equation by using non-conservative approximation

Analysis of PDEs 2018-02-27 v2

Abstract

In general, the non-conservative approximation of coagulation-fragmentation equations (CFEs) may lead to the occurrence of gelation phenomenon. In this article, it is shown that the non-conservative approximation of CFEs can also provide the existence of mass conserving solutions to CFEs for large classes of unbounded coagulation and fragmentation kernels.

Cite

@article{arxiv.1802.08038,
  title  = {A note on mass-conserving solutions to the coagulation-fragmentation equation by using non-conservative approximation},
  author = {Prasanta Kumar Barik and Ankik Kumar Giri},
  journal= {arXiv preprint arXiv:1802.08038},
  year   = {2018}
}
R2 v1 2026-06-23T00:30:03.111Z