A Note on the Volume Conserving Solution to Simultaneous Aggregation and Collisional Breakage Equation

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dc.contributor.authorKharchandy, Farel William Viret
dc.contributor.authorDas, Arijit
dc.contributor.authorThota, Vamsinadh
dc.contributor.authorSaha, Jitraj
dc.contributor.authorSingh, Mehakpreet
dc.date.accessioned2026-10-05T06:58:16Z
dc.date.available2026-10-05T06:58:16Z
dc.date.issued2023-02-09
dc.description.abstractAbstract 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.
dc.identifier.issn20751680
dc.identifier.urihttps://doi.org/10.3390/axioms12020181
dc.identifier.urihttp://nitt.ndl.gov.in/handle/123456789/301
dc.language.isoen
dc.publisherMDPI
dc.relation.ispartofseriesAxioms; Vol. 12/ No. 2/ Art. 181
dc.titleA Note on the Volume Conserving Solution to Simultaneous Aggregation and Collisional Breakage Equation
dc.typeArticle
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