Trend to equilibrium in the Becker-Doring cluster equations

被引：29

作者：

Slemrod, M. ^{[1
]}

机构：

[1] Univ Wisconsin, Ctr Math Sci, Madison, WI 53706 USA

来源：

NONLINEARITY | 1989年 / 2卷 / 03期

关键词：

D O I：

10.1088/0951-7715/2/3/004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The asymptotic behaviour of solutions to the Becker-Doring cluster equations is analysed. Decay to equilibria is shown to hold when the kinetic coefficients a(r), b(r) are O(r) This improves an earlier result of Ball, Carr and Penrose where an O(r/In r) estimate was required. The main tool of the decay argument is a 'relaxed' invariance principle first exposited by Slemrod.

引用

页码：429 / 443

页数：15

共 10 条

[1] THE BECKER-DORING CLUSTER EQUATIONS - BASIC PROPERTIES AND ASYMPTOTIC-BEHAVIOR OF SOLUTIONS [J].