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 -norm. We use the notion of renormalized solutions introduced by DiPerna and Lions (1989) , because of the lack of a priori estimates. The proof is based on weak-compactness methods in , allowed by -norms propagation.
Cite this article
Damien Broizat, A kinetic model for coagulation–fragmentation. Ann. Inst. H. Poincaré Anal. Non Linéaire 27 (2010), no. 3, pp. 809–836DOI 10.1016/J.ANIHPC.2009.11.014