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

Authors
BENGURIA RD DEPASSIER MC
Citation
Rd. Benguria et Mc. Depassier, VARIATIONAL PRINCIPLE FOR THE ASYMPTOTIC SPEED OF FRONTS OF THE DENSITY-DEPENDENT DIFFUSION-REACTION EQUATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(3), 1995, pp. 3285-3287
Citations number
13
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
52
Issue
3
Year of publication
1995
Part
B
Pages
3285 - 3287
Database
ISI
SICI code
1063-651X(1995)52:3<3285:VPFTAS>2.0.ZU;2-U
Abstract
We show that the minimal speed for the existence of monotonic fronts o f the equation u(t) = (u(m))(xx) + f(u) with f(0) = f(1) = 0, m > 1 an d f > 0 in (0,1), is derived from a variational principle. The variati onal principle allows us to calculate, in principle, the exact speed f or general f. The case m = 1 when f'(0) = 0 is included as an extensio n of the results.