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- Title
Mass-conserving weak solutions to the coagulation and collisional breakage equation with singular rates.
- Authors
Barik, Prasanta Kumar; Giri, Ankik Kumar; Kumar, Rajesh
- Abstract
In this article, the existence of mass-conserving solutions is investigated to the continuous coagulation and collisional breakage equation with singular collision kernels. Here, the probability distribution function attains singularity near the origin. The existence result is constructed by using both conservative and non-conservative truncations to the continuous coagulation and collisional breakage equation. The proof of the existence result relies on a classical weak L1 compactness method.
- Subjects
COAGULATION; DISTRIBUTION (Probability theory); EQUATIONS
- Publication
Kinetic & Related Models, 2021, Vol 14, Issue 2, p389
- ISSN
1937-5093
- Publication type
Article
- DOI
10.3934/krm.2021009