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Davies, S. C. ; King, J. R. ; Wattis, J. A. D.

Springer

Journal of engineering mathematics 36 (1999), S. 57-88

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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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