95 citations · 645 across the 59 of their papers we have counts for
8 papers · 1 filter
Shift in the speed of reaction diffusion equation with a cut-off: pushed and bistable fronts
M. C. Depassier, R. D. Benguria
We study the change in the speed of pushed and bistable fronts of the reaction diffusion equation in the presence of a small cut-off. We give explicit formulas for the shift in the…
Validity of the Brunet-Derrida formula for the speed of pulled fronts with a cutoff
R. D. Benguria, M. C. Depassier, M. Loss
We establish rigorous upper and lower bounds for the speed of pulled fronts with a cutoff. We show that the Brunet-Derrida formula corresponds to the leading order expansion in the…
The effect of a cutoff on pushed and bistable fronts of the reaction diffusion equation
R. D. Benguria, M. C. Depassier, V. Haikala
We give an explicit formula for the change of speed of pushed and bistable fronts of the reaction diffusion equation when a small cutoff is applied at the unstable or metastable eq…
On the speed of pulled fronts with a cutoff
R. D. Benguria, M. C. Depassier
We study the effect of a small cutoff on the velocity of a pulled front in one dimension by means of a variational principle. We obtain a lower bound on the speed dependent on…
On the principal bifurcation branch of a third order nonlinear long-wave equation
R. D. Benguria, M. C. Depassier
We study the principal bifurcation curve of a third order equation which describes the nonlinear evolution of several systems with a long--wavelength instability. We show that the…
Validity of the linear marginal stability principle for monotonic fronts of the extended Fisher-Kolmogorov equation
R. D. Benguria, M. C. Depassier
The extended Fisher Kolmogorov equation with arbitrary positive , satisfying , has monotonic traveling fronts for .…