preprint
Inserted: 23 aug 2018
Last Updated: 19 jun 2019
Journal: Kinetic and Related Models
Volume: 11
Number: 5
Pages: 1125-1138
Year: 2018
Doi: 10.3934/krm.2018043
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.
Keywords: Particles, coagulation, fragmentation, mass conserving solution, existence.