| Solutions of condensing coagulation models are studied. An existence and uniqueness theorem for the discrete Safronov-Dubovski coagulation equation for classes of bounded and unbounded kernels is proved. Next, exact and self-similar solutions of a new continuous condensing coagulation model based on Safronov's continuous equation with the addition of a second coagulation process called inverse coagulation are investigated. Finally, solutions of the Lifshitz-Slyozov equation with encounters in the form of the previously introduced combined model are investigated and the long-time behavior of the solutions for three types of initial data are analyzed. |
