Weak solutions to the continuous coagulation equation with multiple fragmentation
Analysis of PDEs
2011-01-24 v1
Abstract
The existence of weak solutions to the continuous coagulation equation with multiple fragmentation is shown for a class of unbounded coagulation and fragmentation kernels, the fragmentation kernel having possibly a singularity at the origin. This result extends previous ones where either boundedness of the coagulation kernel or no singularity at the origin for the fragmentation kernel were assumed.
Keywords
Cite
@article{arxiv.1101.4169,
title = {Weak solutions to the continuous coagulation equation with multiple fragmentation},
author = {Ankik Kumar Giri and Philippe Laurencot and Gerald Warnecke},
journal= {arXiv preprint arXiv:1101.4169},
year = {2011}
}