Non-power law constant flux solutions for the Smoluchowski coagulation equation

Autor:	Ferreira, Marina A., Lukkarinen, Jani, Nota, Alessia, Velázquez, Juan J. L.
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics 82C05 35Q82
Druh dokumentu:	Working Paper
Popis:	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. Comment: 35 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2207.09518 Zobrazit plný text záznamu View this record from Arxiv