On the mass conserving solutions to the singular kernel coagulation with multi-fragmentation

Das, Arijit; Saha, Jitraj

doi:10.1007/s13160-022-00544-9

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2023

2024

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Cited by 2 publications

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“…Vigil et al [12] and Ke et al [13] provided the extensive analysis on coagulation with collision-induced fragmentation. Some other ex-istence and uniqueness studies can also be found in [14,15]. Various numerical approaches in 1D and 2D for solving these models have been discussed in detail by [16][17][18][19][20][21][22].…”

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confidence: 99%

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

Kharchandy

Das

Thota

et al. 2023

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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.

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