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math.AP2025
Well-posedness and large time behavior of a size-structured growth-coagulation-fragmentation model
Saroj Si, Ankik Kumar Giri
The existence and uniqueness of weak solutions to a size-structured growth-coagulation-fragmentation (GCF) equation with a renewal boundary condition are shown for a class of unbou…
math.AP2025
Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer
Ram Gopal Jaiswal, Ankik Kumar Giri
A mathematical model for the continuous nonlinear fragmentation equation is considered in the presence of mass transfer. In this paper, we demonstrate the existence of mass-conserv…
math.AP2024
Existence and Non-existence for Exchange-Driven Growth Model
Saroj Si, Ankik Kumar Giri
The exchange-driven growth (EDG) model describes the evolution of clusters through the exchange of single monomers between pairs of interacting clusters. The dynamics of this proce…