On the positivity of solutions to the Smoluchowski equations
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 coag...
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| Formato: | article |
| Idioma: | eng |
| Publicado em: |
2010
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| Texto completo: | http://hdl.handle.net/10400.2/1490 |
| País: | Portugal |
| Oai: | oai:repositorioaberto.uab.pt:10400.2/1490 |
| Resumo: | 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. |
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