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

IF 1.3 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2026-04-17 DOI:10.1007/s10440-026-00791-9

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

引用次数: 0

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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关于在对角线上消失的凝聚核的瞬时胶凝的注记

我们证明了具有大于1且在对角线上消失的和型均匀核的混凝方程会发生瞬时胶凝（即瞬时质量损失）。我们的证明包括解决方案是氡措施，如果我们排除的情况下，初始数据是一个单一的狄拉克增量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.