SELF-SIMILARITY IN A COARSENING MODEL IN ONE DIMENSION

被引：19

作者：

CARR, J ^{[1
]}

PEGO, R ^{[1
]}

机构：

[1] UNIV MARYLAND, DEPT MATH, COLLEGE PK, MD 20742 USA

来源：

PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES | 1992年 / 436卷 / 1898期

关键词：

D O I：

10.1098/rspa.1992.0035

中图分类号：

学科分类号：

摘要：

Motivated from asymptotic laws of motion for transition layers in the equation u(t) = epsilon(2)u(xx) + u - u3, we consider the following model for coarsening of a fine partition of an interval: find the shortest subinterval of the partition, and joint it with its neighbours, combining three into one. Making a 'random order assumption', we develop and study an unusual coagulation equation for the distribution of interval lengths. We establish the existence of a self-similar solution of this equation by using Laplace transform techniques. Simulation data indicate that random order does persist if present initially, and the distribution approaches similarity form.

引用

页码：569 / 583

页数：15

共 9 条

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