Rates of convergence for Smoluchowski's coagulation equations

2009/05/21 by Srinivasan, Ravi
Environmental Science · Mathematics · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Coagulation and Flocculation Studies #FOS: Physical sciences #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.0905.3450

openalex publication_date 2009/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish nearly optimal rates of convergence to self-similar solutions of Smoluchowski's coagulation equation with kernels K = 2, x + y, and xy. The method is a simple analogue of the Berry-Esséen theorem in classical probability and requires minimal assumptions on the initial data, namely that of an extra finite moment condition. For each kernel it is shown that the convergence rate is achieved in the case of monodisperse initial data.

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