A kinetic model for coagulation–fragmentation

Broizat, Damien

Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 3, pp. 809-836.

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 by DiPerna and Lions (1989) [3], because of the lack of a priori estimates. The proof is based on weak-compactness methods in $L^1$, allowed by $L^p$-norms propagation.

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