Rigorous results for the minimal speed of Kolmogorov–Petrovskii–Piscounov monotonic fronts with a cutoff

DOI10.1063/1.4770248zbMath1282.35117arXiv1010.3044OpenAlexW1963601024WikidataQ59158069 ScholiaQ59158069MaRDI QIDQ2872437

Michael Loss, M. Cristina Depassier, Rafael D. Benguria

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3044

zbMATH Keywords

Brunet-Derrida formuladiscontinuous reaction profiles

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Variational principles of physics (49S05) Wave front sets in context of PDEs (35A18) Traveling wave solutions (35C07)

Related Items (2)

Effect of noise on front propagation in reaction-diffusion equations of KPP type ⋮ Shift in the speed of reaction–diffusion equation with a cut-off: Pushed and bistable fronts

Cites Work

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• A geometric approach to bistable front propagation in scalar reaction-diffusion equations with cut-off
• Multidimensional nonlinear diffusion arising in population genetics
• A geometric analysis of front propagation in a family of degenerate reaction-diffusion equations with cutoff
• Brunet-Derrida behavior of branching-selection particle systems on the line
• The critical wave speed for the Fisher–Kolmogorov–Petrowskii–Piscounov equation with cut-off

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