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On the dynamic scaling behaviour of solutions to the discrete smoluchowski equations

Published online by Cambridge University Press:  20 January 2009

F. P. Da Costa
F. P. Da Costa
Affiliation:
Instituto Superior TécnicoDepartamento de Matemática, Av. Rovisco Pais, P-1096 LisboaPortugal E-mail address: fcosta@math.ist.utl.pt
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Abstract

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In this paper we generalize recent results of Kreer and Penrose by showing that solutions to the discrete Smoluchowski equations

with general exponentially decreasing initial data, with density p, have the following asymptotic behaviour

where J = {j: cj(t)>0, t>0} and q = gcd{j: cj(0)>0}.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 3 , October 1996 , pp. 547 - 559
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

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