The Discrete Unbounded Coagulation-Fragmentation Equation with Growth, Decay and Sedimentation
Provides theoretical guarantees for a broader class of coagulation-fragmentation models, relevant to mathematical biology and physics, but is an incremental extension of existing theory.
This paper proves existence and uniqueness of classical global solutions for discrete coagulation-fragmentation equations with growth, decay, and sedimentation under sufficiently strong linear processes, extending previous results with a more general model and weaker assumptions.
In this paper we study the discrete coagulation--fragmentation models with growth, decay and sedimentation. We demonstrate the existence and uniqueness of classical global solutions provided the linear processes are sufficiently strong. This paper extends several previous results both by considering a more general model and and also signnificantly weakening the assumptions. Theoretical conclusions are supported by numerical simulations.