Theoretical analysis of a discrete population balance model for sum kernel
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 ≤s (i+j), ∀ i,j ∈ N. Differentiability of the solutions is investigated for the kernel Vi,j ≤s iα+jα where 0 ≤s α ≤s 1. The article finally deals with the uniqueness result that requires the boundedness of the second moment.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.