RT Journal Article
T1 Remarks on accessible steady states for some coagulation-fragmentation systems
A1 Herrero, Miguel A.
A1 Rodrigo, Marianito R.
AB In this paper we consider some systems of ordinary differential equations which are related to coagulation-fragmentation processes. In particular, we obtain explicit solutions {c(k)(t)} of such systems which involve certain coefficients obtained by solving a suitable algebraic recurrence relation. The coefficients are derived in two relevant cases: the high-functionality limit and the Flory-Stockmayer model. The solutions thus obtained are polydisperse (that is, c(k)(0) is different from zero for all k >= 1) and may exhibit monotonically increasing or decreasing total mass. We also solve a monodisperse case (where c(1)(0) is different from zero but c(k)(0)is equal to zero for all k >= 2) in the high-functionality limit. In contrast to the previous result, the corresponding solution is now shown to display a sol-gel transition when the total initial mass is larger than one, but not when such mass is less than or equal to one.
PB American Institute of Mathematical Sciences
SN 1078-0947
YR 2007
FD 2007-03
LK https://hdl.handle.net/20.500.14352/50097
UL https://hdl.handle.net/20.500.14352/50097
LA eng
NO European Contrac
NO Asociación Mexicana de Cultura
DS Docta Complutense
RD 8 abr 2025