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arXiv · 2506.11573

A note on instantaneous gelation for coagulation kernels vanishing on the diagonal

Iulia Cristian·Barbara Niethammer·Juan J. L. Velázquez
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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.

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Iulia Cristian, Barbara Niethammer, Juan J. L. Velázquez. 2025-06-13. A note on instantaneous gelation for coagulation kernels vanishing on the diagonal. https://arxiv.org/abs/2506.11573

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