TRAVELING WAVES FOR A NONEQUILIBRIUM, 2-SITE, NONLINEAR SORPTION MODEL

被引：2
|
作者：
LOGAN, JD
LEDDER, G
机构：
[1] Department of Mathematics, University of Nebraska, Lincoln, NE
来源：
APPLIED MATHEMATICAL MODELLING | 1995年 / 19卷 / 05期
关键词：
HYDROGEOLOGY; SORPTION; TRAVELING WAVES; PERTURBATION METHODS;
D O I：
10.1016/0307-904X(94)00038-8
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Using phase plane analysis, the existence of travelling wave solutions to a system of reaction-diffusion equations describing a two-site, nonequilibrium, nonlinear sorption model is demonstrated. Singular perturbation methods are then applied to obtain approximations to the waveforms for Langmuir and Freundlich kinetics in the case of a large Peclet number or a large rate constant. The results are compared with other recent results where physical arguments are made to obtain similar, yet different, approximations, and their validity is examined.
引用
收藏
页码：270 / 277
页数：8
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