Theoretical analysis of a discrete population balance Model for sum kernel
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Date
2022-06
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Publisher
ARXIV
Abstract
The Oort-Hulst-Safronov equation, shorterned as OHS is a relevant population
balance model. Its discrete form, developed by Dubovski is the main focus of our analysis.
The existence and density conservation are established for the coagulation rate Vi,j 6 (i + j),
8i, j 2 N. Differentiability of the solutions is investigated for the kernel Vi,j 6 i + j where
0 6 6 1. The article finally deals with the uniqueness result that requires the boundedness
of the second moment.
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Keywords
Mathematics, Discrete Delay, Polynomial Kernel