Convergence to equilibrium for a class of coagulation-fragmentation equations without detailed balance

Fuente: arXiv
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Autores principales: Bhattacharya, Apratim, Throm, Sebastian
Formato: Preprint
Publicado: 2026
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author Bhattacharya, Apratim
Throm, Sebastian
author_facet Bhattacharya, Apratim
Throm, Sebastian
contents We prove convergence to equilibrium for a class of coagulation-fragmentation equations that do not satisfy a detailed balance condition. More precisely, we consider perturbations of constant rate kernels. Our result provides in particular explicit convergence rates. Uniqueness of the stationary states is proven as well for the considered class of kernels.
format Preprint
id arxiv_https___arxiv_org_abs_2602_10059
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Convergence to equilibrium for a class of coagulation-fragmentation equations without detailed balance
Bhattacharya, Apratim
Throm, Sebastian
Analysis of PDEs
We prove convergence to equilibrium for a class of coagulation-fragmentation equations that do not satisfy a detailed balance condition. More precisely, we consider perturbations of constant rate kernels. Our result provides in particular explicit convergence rates. Uniqueness of the stationary states is proven as well for the considered class of kernels.
title Convergence to equilibrium for a class of coagulation-fragmentation equations without detailed balance
topic Analysis of PDEs
url https://arxiv.org/abs/2602.10059