Uniqueness of post-gelation solutions of a class of coagulation equations |
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Authors: | Raoul Normand Lorenzo Zambotti |
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Institution: | Laboratoire de Probabilités et Modèles Aléatoires, Université Paris 6 - Pierre et Marie Curie, 175 rue du Chevaleret, 75013 Paris, France |
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Abstract: | We prove well-posedness of global solutions for a class of coagulation equations which exhibit the gelation phase transition. To this end, we solve an associated partial differential equation involving the generating functions before and after the phase transition. Applications include the classical Smoluchowski and Flory equations with multiplicative coagulation rate and the recently introduced symmetric model with limited aggregations. For the latter, we compute the limiting concentrations and we relate them to random graph models. |
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Keywords: | primary 34A34 secondary 82D60 |
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