A note on the volume conserving solution to simultaneous aggregation and collisional breakage equation

Kharchandy FWV, Das A, Thota V, Saha J, Singh M (2023)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2023

Journal

Axioms MDPI

DOI: 10.3390/axioms12020181

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.

Authors with CRIS profile

Arijit Das Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

National Institute of Technology, Tiruchirappalli (NIT Trichy) IN India (IN) University of Limerick IE Ireland (IE)

How to cite

APA:

Kharchandy, F.W.V., Das, A., Thota, V., Saha, J., & Singh, M. (2023). A note on the volume conserving solution to simultaneous aggregation and collisional breakage equation. Axioms. https://doi.org/10.3390/axioms12020181

MLA:

Kharchandy, Farel William Viret, et al. "A note on the volume conserving solution to simultaneous aggregation and collisional breakage equation." Axioms (2023).

BibTeX: Download