Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10482259 | Physica A: Statistical Mechanics and its Applications | 2005 | 5 Pages |
Abstract
The extended Fisher-Kolmogorov equation ut=uxx-γuxxxx+f(u) with arbitrary positive f(u), satisfying f(0)=f(1)=0, has monotonic traveling fronts for γ<112. We find a simple lower bound on the speed of the fronts which allows to determine, for a given reaction term, when will the front of minimal speed be pushed.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
R.D. Benguria, M.C. Depassier,