On the dynamic scaling behaviour of solutions to the discrete Smoluchowski equations

被引：12

作者：

da Costa, FP ^{[1
]}

机构：

[1] Univ Tecn Lisboa, DEPT MATEMAT, INST SUPER TECN, P-1096 LISBON, PORTUGAL

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 1996年 / 39卷

关键词：

D O I：

10.1017/S0013091500023294

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we generalize recent results of Kreer and Penrose by showing that solutions to the discrete Smoluchowski equations c(j)=Sigma(k=1)(j-1)c(j-k)c(k)-2c(j) Sigma(k=1)(infinity)c(k), j=1,2,... with general exponentially decreasing initial data, with density rho, have the following asymptotic behaviour [GRAPHICS] where J={j: c(j)(t)>0, t>0} and q=gcd{j: c(j)(0)>0}.

引用

页码：547 / 559

页数：13

共 15 条

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