Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4604585 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2010 | 28 Pages |
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 Lp-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 L1, allowed by Lp-norms propagation.
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