A kinetic model for coagulation-fragmentation

Details A kinetic model for coagulation-fragmentation A kinetic model for coagulation-fragmentation

2009-04-09

arxiv.org/abs/0904.1476v1

Mathematics

Analysis of PDEs

36 pages

Scientific paper

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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