Complete and exact solutions of a class of nonlinear diffusion equations and problem of velocity selection

被引：11
|
作者：
Wang, XY
Fan, S
Kyu, T
机构：
[1] Institute of Polymer Engineering, University of Akron, Akron, OH
来源：
PHYSICAL REVIEW E | 1997年 / 56卷 / 05期
关键词：
D O I：
10.1103/PhysRevE.56.R4931
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
In this Rapid Communication complete and exact solutions of a class of nonlinear diffusion equations have been presented. The exact solutions give a tutorial explanation about the mechanism of velocity selection. The marginal stability hypothesis is extended to predict velocity selection for the equations. It has been shown that this class of equations can be transformed to the heat equation via nonlinear transformations. Numerical experiments have been performed to test the theoretical prediction.
引用
收藏
页码：R4931 / R4934
页数：4
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