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

页码：448 / 455

页数：8

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