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Global solutions to the discrete coagulation equations

Part of: General theory in ordinary differential equations

Published online by Cambridge University Press:  26 February 2010

Philippe Laurençot
Philippe Laurençot
Affiliation:
CNRS and Institut Elie Cartan-Nancy, Universitç de Nancy I, BP 239, F-54506 Vandœuvre-lès-Nancy cedex, France.
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Abstract

The existence of global solutions to the discrete coagulation equations is investigated for a class of coagulation rates of the form ai, j = rirj + αi, j with αi, j≤Krirj. In particular, global solutions are shown to exist when the sequence (ri) increases linearly or superlinearly with respect to i. In this case also, the failure of density conservation (indicating the occurrence of the gelation phenomenon) is studied.

MSC classification

Secondary: 34A34: Nonlinear equations and systems, general
Type
Research Article
Information
Mathematika , Volume 46 , Issue 2 , December 1999 , pp. 433 - 442
Copyright
Copyright © University College London 1999

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