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

Abstract

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