Self-similar behaviour in the coagulation equations

被引：22

作者：

Davies, SC ^{[1
]}

King, JR ^{[1
]}

Wattis, JAD ^{[1
]}

机构：

[1] Univ Nottingham, Sch Math Sci, Div Theoret Mech, Nottingham NG7 2RD, England

来源：

JOURNAL OF ENGINEERING MATHEMATICS | 1999年 / 36卷 / 1-2期

关键词：

coagulation equations; asymptotics; self-similar solutions; Smoluchowski;

D O I：

10.1023/A:1004589822425

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：57 / 88

页数：32

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