Self-similar behaviour in the coagulation equations

Davies, S.C.; King, J. R. and Wattis, J. A. D. (1999). Self-similar behaviour in the coagulation equations. Journal of Engineering Mathematics, 36 pp. 57–88.



This paper describes solutions to the Smoluchowski coagulation equations with power-law kernels in both constant-mass and constant-monomer cases. Exact solutions are obtained in special cases by a generating function approach. For more general kernels, the large-time behaviour is obtained by use of matched asymptotics. Numerical results are also given, which confirm the asymptotic analysis.

Viewing alternatives


Public Attention

Altmetrics from Altmetric

Number of Citations

Citations from Dimensions
No digital document available to download for this item

Item Actions