We demonstrate how many classes of Smoluchowski-type coagulation models can be realised as multiplicative Grassmannian flows and are therefore linearisable, thus integrable in this sense. First, we prove that a general equation with constant frequency kernel, encompasses large class such models, is realisable flow. Second, establish several other related kernel also such. These include: the Gal...

We briefly describe a model which seems to be applicable to a variety of coalescence growth systems. Spanning cluster growth, particle growth and hillockformation in thin metal f%ns, this model is based on the Smoluchowski kinetic equations and fractals. We describe how this model has been able to suggest the e$ect of translational to internal energy conversion in coalescing systems in determin...

The Smoluchowski equations of coagulation are solved analytically in two cases involving a finite cut-off of the system: the constant kernel set to zero for any j > N on the one hand, and the general three-particle case on the other. Both are seen to exhibit rather unusual large-time behaviour. The first model can be used to account for large particles precipitating out of a system and its beha...