Absence of gelation for models of coagulation-fragmentation with degenerate diffusion

Cañizo, J. A. and Desvillettes, L. and Fellner, K. (2010) Absence of gelation for models of coagulation-fragmentation with degenerate diffusion. Il nuovo cimento C, 33 (1). pp. 79-86. ISSN 1826-9885

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Abstract

We show in this work that gelation does not occur for a class of discrete coagulation-fragmentation models with size-dependent diffusion. With respect to a previous work by the authors, we do not assume here that the diffusion rates of clusters are bounded below. The proof uses a duality argument first devised by M. Pierre and D. Schmitt for reaction-diffusion systems with a finite number of equations.

Item Type: Article
Uncontrolled Keywords: Integral equations ; Partial differential equations ; Atomic and molecular clusters
Subjects: 500 Scienze naturali e Matematica > 510 Matematica
Depositing User: Marina Spanti
Date Deposited: 31 Mar 2020 15:22
Last Modified: 31 Mar 2020 15:22
URI: http://eprints.bice.rm.cnr.it/id/eprint/16796

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