Pattern selection in a reaction-diffusion equation

被引：0

作者：

Wang, Ping ^{[1
]}

Hsieh, Din-Yu ^{[2
]}

Tang, Shaoqiang ^{[3
]}

Wu, Jike ^{[1
]}

机构：

[1] Dept. of Mech. and Eng. Sci., Peking Univ., Beijing 100871, China

[2] Div. of Appl. Math., Brown Univ., Providence, United States

[3] Lab. for Turbulence Res., Dept. of Mech. and Eng. Sci., Peking Univ., Beijing 100871, China

来源：

Acta Mechanica Sinica/Lixue Xuebao | 2002年 / 18卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Diffusion - Numerical analysis - Parameter estimation - Selection;

D O I：

10.1007/bf02487968

中图分类号：

学科分类号：

摘要：

This paper studies the pattern selection in a spatially-periodic problem of a simplified reaction-diffusion system described by an evolutionary Duffing equation. Numerical explorations by a pseudo-spectral method reveal the dependence of the pattern formation on the initial profile as well as the parameter. Only patterns with 2m humps are found to be meta-stable in the corresponding parameter ranges.

引用

页码：652 / 660