ISSN:
1573-2703
Keywords:
coagulation equations
;
asymptotics
;
self-similar solutions
;
Smoluchowski.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Technology
Notes:
Abstract 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1004589822425
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