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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.11573 |
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| _version_ | 1866908407170072576 |
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| author | Cristian, Iulia Niethammer, Barbara Velázquez, Juan J. L. |
| author_facet | Cristian, Iulia Niethammer, Barbara Velázquez, Juan J. L. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_11573 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on instantaneous gelation for coagulation kernels vanishing on the diagonal Cristian, Iulia Niethammer, Barbara Velázquez, Juan J. L. Analysis of PDEs 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. |
| title | A note on instantaneous gelation for coagulation kernels vanishing on the diagonal |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2506.11573 |