Multicomponent coagulation systems: existence and non-existence of stationary non-equilibrium solutions
Analysis of PDEs
2021-03-25 v1 Mathematical Physics
math.MP
Abstract
We study multicomponent coagulation via the Smoluchowski coagulation equation under non-equilibrium stationary conditions induced by a source of small clusters. The coagulation kernel can be very general, merely satisfying certain power law asymptotic bounds in terms of the total number of monomers in a cluster. The bounds are characterized by two parameters and we extend previous results for one-component systems to classify the parameter values for which the above stationary solutions do or do not exist. Moreover, we also obtain criteria for the existence or non-existence of solutions which yield a constant flux of mass towards large clusters.
Keywords
Cite
@article{arxiv.2103.12763,
title = {Multicomponent coagulation systems: existence and non-existence of stationary non-equilibrium solutions},
author = {Marina A. Ferreira and Jani Lukkarinen and Alessia Nota and Juan J. L. Velázquez},
journal= {arXiv preprint arXiv:2103.12763},
year = {2021}
}
Comments
36 pages. Formerly part of arXiv:2006.14840