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arXiv · 0904.1476

A kinetic model for coagulation-fragmentation

Damien Broizat
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Abstract

The aim of this paper is to show an existence theorem for a kinetic model of coagulation-fragmentation with initial data satisfying the natural physical bounds, and assumptions of finite number of particles and finite $L^p$-norm. We use the notion of renormalized solutions introduced dy DiPerna and Lions, because of the lack of \textit{a priori} estimates. The proof is based on weak-compactness methods in $L^1$, allowed by $L^p$-norms propagation.

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Damien Broizat. 2009-04-09. A kinetic model for coagulation-fragmentation. https://doi.org/10.1016/j.anihpc.2009.11.014

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