ASYMPTOTIC-BEHAVIOR OF SOLUTIONS TO THE COAGULATION-FRAGMENTATION EQUATIONS .2. WEAK FRAGMENTATION

Authors
Citation
J. Carr et Fp. Dacosta, ASYMPTOTIC-BEHAVIOR OF SOLUTIONS TO THE COAGULATION-FRAGMENTATION EQUATIONS .2. WEAK FRAGMENTATION, Journal of statistical physics, 77(1-2), 1994, pp. 89-123
Citations number
7
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00224715
Volume
77
Issue
1-2
Year of publication
1994
Pages
89 - 123
Database
ISI
SICI code
0022-4715(1994)77:1-2<89:AOSTTC>2.0.ZU;2-A
Abstract
The discrete coagulation-fragmentation equations are a model for the k inetics of cluster growth in which clusters can coagulate via binary i nteractions to form larger clusters or fragment to form smaller ones. The assumptions made on the fragmentation coefficients have the physic al interpretation that surface effects are important. Our results on t he asymptotic behavior of solutions generalize the corresponding resul ts of Ball, Carr, and Penrose for the Becker-Doring equation.