A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2008; you can also visit the original URL.
The file type is
Smoluchowski's coagulation equation is a fundamental mean-field model of clustering dynamics. We consider the approach to self-similarity (or dynamical scaling) of the cluster size distribution for the "solvable" rate kernels K(x, y) = 2, x + y, and xy. In the case of continuous cluster size distributions, we prove uniform convergence of densities to a self-similar solution with exponential tail, under the regularity hypothesis that a suitable moment have an integrable Fourier transform. Fordoi:10.1137/060662496 fatcat:42jauht7tfdsrb6fenih43up5u