A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2007; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Exponential trend to equilibrium for discrete coagulation equations with strong fragmentation and without a balance condition

2004
*
Proceedings of the Royal Society A
*

The coagulation-fragmentation equation describes the concentration fi(t) of particles of size i ∈ N/{0} at time t ≥ 0, in a spatially homogeneous infinite system of particles subjected to coalescence and break-up. We show that when the rate of fragmentation is sufficiently stronger than that of coalescence, (fi(t)) i∈N/{0} tends to an unique equilibrium as t tends to infinity. Although we suppose that the initial datum is sufficiently small, we do not assume a detailed balance (or

doi:10.1098/rspa.2004.1294
fatcat:od4hysf4lrhffln67metmlryum