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<p>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.</p>

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A Note on Instantaneous Gelation for Coagulation Kernels Vanishing on the Diagonal

  • 期刊论文

  • 发表日期：

    2026年4月17日

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  • Iulia Cristian,
  • Barbara Niethammer,
  • Juan J. L. Velázquez

摘要

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.