Existence and uniqueness of steady-state solution to a singular coagulation–fragmentation equation

Ghosh, Debdulal; Saha, Jitraj; Kumar, Jitendra

doi:10.1016/j.cam.2020.112992

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2024

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Cited by 8 publications

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“…However, to the best of authors knowledge the existence-uniqueness result of a global mass preserving continuous solution for singular kernel collision rate is not studied yet. The study of singular kernels are practically meaningful and shed new light on known nonlinear phenomena [21,[29][30][31][32][33]. Physically, the singular kernel describes vast collision rate for smaller size clusters.…”

Section: State Of the Artmentioning

confidence: 99%

Existence of mass conserving solution for the coagulation–fragmentation equation with singular kernel

Ghosh

Kumar

2018

Japan J. Indust. Appl. Math.

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This article is devoted to the study of existence of a mass conserving global solution for the collision-induced nonlinear fragmentation model which arises in particulate processes, with the following type of collision kernel:where k 1 is a positive constant, σ ∈ 0, 1 2 and ν ∈ [0, 1]. The abovementioned form includes many practical oriented kernels of both singular and non-singular types. The singularity of the unbounded collision kernel at coordinate axes extends the previous existence result of Paul and Kumar [Mathematical Methods in the Applied Sciences 41 (7) (2018) 2715-2732

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