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- W1963601024 abstract "We study the effect of a cutoff on the speed of pulled fronts of the one-dimensional reaction diffusion equation. To accomplish this, we first use variational techniques to prove the existence of a heteroclinic orbit in phase space for traveling wave solutions of the corresponding reaction diffusion equation under conditions that include discontinuous reaction profiles. This existence result allows us to prove rigorous upper and lower bounds on the minimal speed of monotonic fronts in terms of the cut-off parameter ɛ. From these bounds we estimate the range of validity of the Brunet–Derrida formula for a general class of reaction terms." @default.
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- W1963601024 date "2012-12-01" @default.
- W1963601024 modified "2023-09-23" @default.
- W1963601024 title "Rigorous results for the minimal speed of Kolmogorov–Petrovskii–Piscounov monotonic fronts with a cutoff" @default.
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- W1963601024 doi "https://doi.org/10.1063/1.4770248" @default.
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