Precise tail behaviour of self-similar profiles with infinite mass for Smoluchowski's coagulation equation
arXiv:1703.09192 · doi:10.1007/s10955-018-1980-6
Abstract
We consider self-similar profiles to Smoluchowski's coagulation equation for which we derive the precise asymptotic behaviour at infinity. More precisely, we look at so-called fat-tailed profiles which decay algebraically and as a consequence have infinite total mass. The results only require mild assumptions on the coagulation kernel and thus cover a large class of rate kernels.