A REACTION-DIFFUSION MODEL FOR AUTOCATALYTIC POLYMERIZATION .1. PERMANENT FORM TRAVELING WAVES

被引：7

作者：

NEEDHAM, DJ

KING, AC

MERKIN, JH

机构：

[1] UNIV KEELE,DEPT MATH,KEELE ST5 5BG,STAFFS,ENGLAND

[2] UNIV LEEDS,DEPT APPL MATH,LEEDS LS2 9JT,W YORKSHIRE,ENGLAND

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 1994年 / 53卷 / 02期

关键词：

D O I：

10.1093/imamat/53.2.137

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

As a simple model for radical chain polymerization, the authors study a system of coupled reaction-diffusion equations in which the reaction terms are autocatalytic and one of the diffusivities, representative of the evolving polymer structure, vanishes at a finite and nonzero polymer concentration. The existence of a family of travelling wave solutions to the evolution equations is proved, and some properties of these waveforms are derived.

引用

页码：137 / 149

页数：13

共 8 条

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