Non-power law constant flux solutions for the Smoluchowski coagulation equation
Analysis of PDEs
2022-07-26 v2 Mathematical Physics
math.MP
Abstract
It is well known that for a large class of coagulation kernels, Smoluchowski coagulation equations have particular power law solutions which yield a constant flux of mass along all scales of the system. In this paper, we prove that for some choices of the coagulation kernels there are solutions with a constant flux of mass along all scales which are not power laws. The result is proved by means of a bifurcation argument.
Keywords
Cite
@article{arxiv.2207.09518,
title = {Non-power law constant flux solutions for the Smoluchowski coagulation equation},
author = {Marina A. Ferreira and Jani Lukkarinen and Alessia Nota and Juan J. L. Velázquez},
journal= {arXiv preprint arXiv:2207.09518},
year = {2022}
}
Comments
35 pages