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math-ph2019★ 1 cited
Upper and lower bounds for the speed of fronts of the reaction diffusion equation with Stefan boundary conditions
R. D. Benguria, M. C. Depassier
We establish two integral variational principles for the spreading speed of the one dimensional reaction diffusion equation with Stefan boundary conditions. The first principle is…
math-ph2010
Rigorous results for the speed of Kolmogorov--Petrovskii--Piscounov fronts with a cutoff
Rafael D. Benguria, M. Cristina Depassier, Michael Loss
We study the effect of a cut-off on the speed of pulled fronts of the one dimensional reaction diffusion equation. We prove rigorous upper and lower bounds on the speed in terms of…