Mass-conserving solutions to coagulation-fragmentation equations with balanced growth
Volume 159 / 2020
Colloquium Mathematicum 159 (2020), 127-155
MSC: Primary 45K05.
DOI: 10.4064/cm7827-2-2019
Published online: 30 October 2019
Abstract
A specific class of coagulation and fragmentation coefficients is considered for which the strength of coagulation is balanced by that of multiple fragmentation. Existence and uniqueness of mass-conserving solutions is proved when the initial total mass is sufficiently small.