Precise tail behaviour of self-similar profiles with infinite mass for Smoluchowski's coagulation equation
Analysis of PDEs
2018-04-04 v1
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.
Keywords
Cite
@article{arxiv.1703.09192,
title = {Precise tail behaviour of self-similar profiles with infinite mass for Smoluchowski's coagulation equation},
author = {Sebastian Throm},
journal= {arXiv preprint arXiv:1703.09192},
year = {2018}
}