A kinetic model for coagulation–fragmentation

  • Damien Broizat

    Laboratoire J.A. Dieudonné, Université de Nice-Sophia Antipolis, Parc Valrose, F-06108 Nice cedex 02, France


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) [3], 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. 809–836

DOI 10.1016/J.ANIHPC.2009.11.014