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A Note on the Volume Conserving Solution to Simultaneous Aggregation and Collisional Breakage Equation
Date
2023
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. 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.
Supervisor
Description
Publisher
MDPI
Citation
Axioms 12(2), 181
Files
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Singh_2023_Note.pdf
Adobe PDF, 288.4 KB
Funding code
Funding Information
CSIR