Abstract
We propose and analyse a model for the collision of highly energetic particles in which collisions cause the complete fragmentation of the particles into dust and in which particles nucleate and grow through the accretion of dust. This is inspired by the work of Oort and van Hulst. We analyse a variety of aggregation and disintegration kernels, using asymptotic techniques to illustrate the form of solutions, and find steady states and self-similar behaviour.
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