Mass-conserving self-similar solutions to coagulation-fragmentation equations
Analysis of PDEs
2019-02-14 v1
Abstract
Existence of mass-conserving self-similar solutions with a sufficiently small total mass is proved for a specific class of homogeneous coagulation and fragmentation coefficients. The proof combines a dynamical approach to construct such solutions for a regularised coagulation-fragmentation equation in scaling variables and a compactness method.
Keywords
Cite
@article{arxiv.1902.04829,
title = {Mass-conserving self-similar solutions to coagulation-fragmentation equations},
author = {Philippe Laurençot},
journal= {arXiv preprint arXiv:1902.04829},
year = {2019}
}