Fractional reaction-diffusion

被引：268
|
作者：
Henry, BI [1 ]
Wearne, SL [1 ]
机构：
[1] Univ New S Wales, Dept Appl Math, Sch Math, Sydney, NSW 2052, Australia
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2000年 / 276卷 / 3-4期
关键词：
D O I：
10.1016/S0378-4371(99)00469-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We derive a fractional reaction-diffusion equation from a continuous-time random walk model with temporal memory and sources. The equation provides a general model for reaction-diffusion phenomena with anomalous diffusion such as occurs in spatially inhomogeneous environments. As a first investigation of this equation ae consider the special case of single species fractional reaction-diffusion in one dimension and show that the fractional diffusion does not by itself precipitate a Turing instability. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：448 / 455
页数：8
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