Smoluchowski's coagulation equation: Uniqueness, nonuniqueness and a hydrodynamic limit for the stochastic coalescent

被引：0
|
作者：
Norris, JR [1 ]
机构：
[1] Univ Cambridge, Stat Lab, Cambridge CB2 1SB, England
来源：
ANNALS OF APPLIED PROBABILITY | 1999年 / 9卷 / 01期
关键词：
Smoluchowski's coagulation equation; stochastic coalescent; hydrodynamic limit;
D O I：
暂无
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Sufficient conditions are given for existence and uniqueness in Smoluchowski's coagulation equation, for a wide class of coagulation kernels and initial mass distributions. An example of nonuniqueness is constructed. The stochastic coalescent is shown to converge weakly to the solution of Smoluchowski's equation.
引用
收藏
页码：78 / 109
页数：32
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