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

页码：3285 / 3287

页数：3

共 13 条

[1]

Aronson D., 1980, P ADV SEMINAR DYNAMI

[2] CALCULATION OF ANOMALOUS EXPONENTS IN NONLINEAR DIFFUSION [J].