Gelation and mass conservation in coagulation-fragmentation models

129 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Convergence of the Marcus–Lushnikov Process (2004, methodology): “This modified Smoluchowski equation had already been introduced by Flory [8], see also Ernst-Ziff-Hendriks [5] (when K(x, y) = xy), EscobedoLaurençot-Mishler [6] (when K(x, y) = (xy + xy), for some β ∈]0, 1]).”
Exponential decay for the fragmentation or cell-division equation (2005, methodology): “This model also appears in physics to describe a fragmentation (degradation) phenomenon in polymers, droplets ([12], [9], [1] and references therein) and in telecommunications systems to describe some internet protocols [2].”
Eigenelements of a General Aggregation-Fragmentation Model (2009, background): “(12) On the other hand, to avoid forming infinitely long polymers (gelation phenomenon, see [17, 18]), we assume lim x→+∞ xβ(x) τ(x) = +∞.”