A note on instantaneous gelation for coagulation kernels vanishing on the diagonal
Analysis of PDEs
2025-06-16 v1
Abstract
We prove that instantaneous gelation (i.e., instantaneous loss of mass) occurs for coagulation equations with sum-type kernels of homogeneity greater than one which vanish on the diagonal. Our proof includes solutions that are Radon measures if we exclude the case of initial data that are a single Dirac delta.
Cite
@article{arxiv.2506.11573,
title = {A note on instantaneous gelation for coagulation kernels vanishing on the diagonal},
author = {Iulia Cristian and Barbara Niethammer and Juan J. L. Velázquez},
journal= {arXiv preprint arXiv:2506.11573},
year = {2025}
}