Fast fusion in a two-dimensional coagulation model
arXiv:2303.09475 · doi:10.1016/j.matpur.2024.02.004
Abstract
In this work, we study a particular system of coagulation equations characterized by two values, namely volume and surface area . Compared to the standard one-dimensional models, this model incorporates additional information about the geometry of the particles. We describe the coagulation process as a combination between collision and fusion of particles. We prove that we are able to recover the standard one-dimensional coagulation model when fusion happens quickly and that we are able to recover an equation in which particles interact and form a ramified-like system in time when fusion happens slowly.
26 pages, 2 figures. arXiv admin note: text overlap with arXiv:2209.00644