Research Projects

A mathematical model for the dynamics of a system of particles undergoing simultaneously coalescence and collisional breakup is considered which is known as the discrete coagulation equation with collisional breakage. The proposed project, aims to investigate the existence, uniqueness, properties of solutions and finite mass self-similar solutions to the discrete coagulation equations with collisional breakage. Moreover, project address the finite time singularities: loss of matter (gelation) and its prevention for such models. Finally, it shows the existence of non-trivial steady states and solutions to the discrete collisional breakage equations converge to a steady state.