Journal
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Volume 132, Issue -, Pages 1219-1248Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0308210500002080
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The connection between the discrete and the continuous coagulation-fragmentation models is investigated. A weak stability principle relying on a priori estimates and weak compactness in L-1 is developed for the continuous model. We approximate the continuous model by a sequence of discrete models and, writing the discrete models as modified continuous ones, we prove the convergence of the latter towards the former with the help of the above-mentioned stability principle. Another application of this stability principle is the convergence of an explicit time and size discretization of the continuous coagulation-fragmentation model.
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