Shift in the speed of reaction–diffusion equation with a cut-off: Pushed and bistable fronts

DOI10.1016/j.physd.2014.04.010zbMath1349.35178arXiv1312.5705OpenAlexW1987983139WikidataQ59158054 ScholiaQ59158054MaRDI QIDQ2832910

M. Cristina Depassier, Rafael D. Benguria

Publication date: 15 November 2016

Published in: Physica D: Nonlinear Phenomena (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.5705

zbMATH Keywords

variational principlesreaction-diffusion equationfront propagationcut-offs

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Variational methods applied to PDEs (35A15)

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Cites Work

• Effect of noise on front propagation in reaction-diffusion equations of KPP type
• A geometric approach to bistable front propagation in scalar reaction-diffusion equations with cut-off
• Multidimensional nonlinear diffusion arising in population genetics
• Variational characterization of the speed of propagation of fronts for the nonlinear diffusion equation
• A geometric analysis of front propagation in a family of degenerate reaction-diffusion equations with cutoff
• Shift in the speed of reaction–diffusion equation with a cut-off: Pushed and bistable fronts
• Rigorous results for the minimal speed of Kolmogorov–Petrovskii–Piscounov monotonic fronts with a cutoff
• The critical wave speed for the Fisher–Kolmogorov–Petrowskii–Piscounov equation with cut-off