VARIATIONAL PRINCIPLE FOR THE ASYMPTOTIC SPEED OF FRONTS OF THE DENSITY-DEPENDENT DIFFUSION-REACTION EQUATION

被引：13
|
作者：
BENGURIA, RD
DEPASSIER, MC
机构：
[1] Facultad de Física, P. Universidad Catlica de Chile, Santiago 22
来源：
PHYSICAL REVIEW E | 1995年 / 52卷 / 03期
关键词：
D O I：
10.1103/PhysRevE.52.3285
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：
We show that the minimal speed for the existence of monotonic fronts of the equation u(t) = (u(m))(xx) + f(u) with f(0) = f(1) = 0, m > 1 and f > 0 in (0,1), is derived from a variational principle. The variational principle allows us to calculate, in principle, the exact speed for general f. The case m = 1 when f'(0) = 0 is included as an extension of the results.
引用
收藏
页码：3285 / 3287
页数：3
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