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THE DISCRETE COAGULATION EQUATIONS WITH MULTIPLE FRAGMENTATION

Published online by Cambridge University Press:  05 February 2002

Philippe Laurençot
Philippe Laurençot
Affiliation:
CNRS et Institut Elie Cartan, Nancy, Université de Nancy I, BP 239, F-54506 Vandœuvre-lès-Nancy cedex, France Mathématiques pour l’Industrie et la Physique, Université Paul Sabatier-Toulouse 3, 118 route de Narbonne, F–31062 Toulouse cedex 4, France (laurencot@mip.ups-tlse.fr)
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Abstract

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We present an alternative proof of the existence of density-conserving solutions to the discrete coagulation–fragmentation equations when the coagulation rates grow at most linearly. The proof relies on the study of the propagation of some moments of the solutions to approximating equations and simplifies the previous argument of Ball and Carr which involves rather delicate estimates. The case of multiple fragmentation is also considered, and the question of uniqueness as well.

AMS 2000 Mathematics subject classification: Primary 34A34; 82C22

Keywords

coagulationmultiple fragmentationexistencepropagation of moments
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 45 , Issue 1 , February 2002 , pp. 67 - 82
Copyright
Copyright © Edinburgh Mathematical Society 2002