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Keywords = collisional breakage

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10 pages, 288 KB  
Article
A Note on the Volume Conserving Solution to Simultaneous Aggregation and Collisional Breakage Equation
by Farel William Viret Kharchandy, Arijit Das, Vamsinadh Thota, Jitraj Saha and Mehakpreet Singh
Axioms 2023, 12(2), 181; https://doi.org/10.3390/axioms12020181 - 9 Feb 2023
Cited by 4 | Viewed by 1889
Abstract
A new population balance model is introduced, in which a pair of particles can coagulate into a larger one if their encounter is a completely inelastic collision; otherwise, one of them breaks into multiple fragments (two or more) due to the elastic collision. [...] Read more.
A new population balance model is introduced, in which a pair of particles can coagulate into a larger one if their encounter is a completely inelastic collision; otherwise, one of them breaks into multiple fragments (two or more) due to the elastic collision. Mathematically, coagulation and breakage models both manifest nonlinearity behavior. We prove the global existence and uniqueness of the solution to this model for the compactly supported kinetic kernels and an unbounded breakage distribution function. A further investigation dealt with the volume conservation property (necessary condition) of the solution. Full article
(This article belongs to the Special Issue 10th Anniversary of Axioms: Mathematical Analysis)
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