THE EFFECTS OF VARIABLE DIFFUSIVITY ON THE DEVELOPMENT OF TRAVELING WAVES IN A CLASS OF REACTION-DIFFUSION EQUATIONS

被引：6
|
作者：
KING, AC [1 ]
NEEDHAM, DJ [1 ]
机构：
[1] UNIV E ANGLIA, SCH MATH, NORWICH NR4 7TJ, NORFOLK, ENGLAND
来源：
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1994年 / 348卷 / 1687期
关键词：
D O I：
10.1098/rsta.1994.0090
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper we examine the effects of concentration dependent diffusivity on a reaction-diffusion process which has applications in chemical kinetics and ecology. We consider piecewise classical solutions to an initial boundary-value problem. The existence of a family of permanent form travelling wave solutions is established and the development of the solution of the initial boundary-value problem to the travelling wave of minimum propagation speed is considered. For certain types of initial data, 'waiting time' phenomena are encountered.
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页码：229 / 260
页数：32
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