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arXiv · 2610.38908

A Note on the Smoluchowski Coagulation-Fragmentation Equation with Fractional Laplacian

Mattia Cantoni·Silvia Lorenzani
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Abstract

In this work, we assess the well-posedness of the Smoluchowski coagulation-fragmentation equation with fractional Laplacian. In particular, we consider a truncated set of discrete Smoluchowski-type equations modeling the formation of clusters, with homogeneous Neumann boundary conditions, where the diffusive term describes a non-standard behavior in the movement of particles ('anomalous' diffusion).

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Mattia Cantoni, Silvia Lorenzani. 2026-10-28. A Note on the Smoluchowski Coagulation-Fragmentation Equation with Fractional Laplacian. https://arxiv.org/abs/2610.38908

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