A KINETIC DESCRIPTION OF PARTICLE FRAGMENTATION

Author:

JABIN PIERRE-EMMANUEL1,SOLER JUAN2

Affiliation:

1. Laboratoire J. A. Dieudionné, CNRS-Université Nice-Sophia Antipolis, Parc Valrose, F-06108 Nice Cedex 02, France

2. Departamento de Matemática Aplicada, Avda. Fuentenueva s/n. Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain

Abstract

This paper is concerned with the formulation and analysis of particle fragmentation by a mathematical approach of the kinetic theory. We consider a fairly general model which may require a description of the internal configuration of each particle, like internal energy. The fragmentation process is assumed to occur due to the configuration of the corresponding particle; an easy modification would allow one to consider the interaction with some external medium (typically a fluid) but we do not deal with fragmentation processes induced by particles collision here. The proposed model is therefore linear and may be analyzed with the use of correct entropies.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

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