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Duality and Entropy Methods in Coagulation-Fragmentation Models

Pré-print du CMLA 2013-06 - version du 9 avril 2013

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Auteurs: L. Desvillettes, K. Fellner

Abstract :

This article presents a selected overview of the existence theory and qualitative analysis of coagulation-fragmentation models describing the formation and break-up of clusters/particles/polymers in various applications in physics, chemistry, astronomy and biology. In particular, we shall discuss recent results on spatially inhomogeneous coagulation-fragmentation models, which are obtained by duality methods and/or entropy methods.

We shall show how a duality argument provides e.g. global-in-time L 2-bounds, while the entropy method implies entropy related a priori estimates and explicit convergence to equilibrium.
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