From the discrete to the continuous coagulation–fragmentation equations
2002 ◽
Vol 132
(5)
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pp. 1219-1248
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A Priori
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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 L1 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.
2010 ◽
Vol 20
(05)
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pp. 757-783
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1997 ◽
Vol 119
(3)
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pp. 396-404
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Keyword(s):
2010 ◽
Vol 41
(3)
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pp. 575-588
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2020 ◽
2020 ◽
2020 ◽
Keyword(s):