Mass-conserving self-similar solutions to coagulation-fragmentation equations

Philippe Laurençot

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arXiv · 1902.04829

Mass-conserving self-similar solutions to coagulation-fragmentation equations

Philippe Laurençot

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Abstract

Existence of mass-conserving self-similar solutions with a sufficiently small total mass is proved for a specific class of homogeneous coagulation and fragmentation coefficients. The proof combines a dynamical approach to construct such solutions for a regularised coagulation-fragmentation equation in scaling variables and a compactness method.

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Philippe Laurençot. 2019-02-13. Mass-conserving self-similar solutions to coagulation-fragmentation equations. https://arxiv.org/abs/1902.04829

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