On the positivity of solutions to the Smoluchowski equations

Costa, Fernando Pestana da

http://hdl.handle.net/10400.2/1490

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Authors

Costa, Fernando Pestana da

Abstract(s)

The dynamics of cluster growth can be modelled by the following infinite system of ordinary differential equations, first proposed by Smoluchowski, [8], where cj=cj(t) represents the physical concentration of j-clusters (aggregates of j identical particles), aj,k=aj,k≥0 are the time-independent coagulation coefficients, measuring the effectiveness of the coagulation process between a j-cluster and a k-cluster, and the first sum in the right-hand side of (1) is defined to be zero if j = 1.

Keywords

Smoluchowski coagulation equations Positivity of solutions

URI

http://hdl.handle.net/10400.2/1490

Citation

Costa, Fernando Pestana da - On the positivity of solutions to the Smoluchowski equations. "Mathematika" [Em linha]. ISSN 0025-5793 (Print) 2041-7942 (Online). Vol. 42, nº 2 (Dec 1995), p. 406-412