Article ID Journal Published Year Pages File Type
4604585 Annales de l'Institut Henri Poincare (C) Non Linear Analysis 2010 28 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis