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
收藏
页码：57 / 88
页数：32
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