An existence-uniqueness result for the pure binary collisional breakage equation

The study of collision-induced breakage phenomenon in the particulate process has much current interest. This is an important process arising in many engineering disciplines. In this work, the existence of continuous solution of the pure collisional breakage model is developed beneath some restrictions on the breakage kernels. Furthermore, the mass conservation and uniqueness of solution are investigated in the absence of shattering transition. The underlying theory is based on the compactness result of Arzela-Ascoli and Banach contraction mapping principle.