A geometric approach to bistable front propagation in scalar reaction-diffusion equations with cut-off

DOI10.1016/j.physd.2010.07.008zbMath1206.35144OpenAlexW1983829093MaRDI QIDQ602737

Freddy Dumortier, Tasso J. Kaper, Nikola Popović

Publication date: 5 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.physd.2010.07.008

zbMATH Keywords

geometric desingularizationcritical front speedsSchlögl equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58)

Related Items (6)

Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations ⋮ 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 ⋮ Travelling waves in monostable and bistable stochastic partial differential equations ⋮ Rigorous results for the minimal speed of Kolmogorov–Petrovskii–Piscounov monotonic fronts with a cutoff ⋮ Wave speeds for the FKPP equation with enhancements of the reaction function

Cites Work

• Mathematical physiology
• Front propagation into unstable states
• Variational characterization of the speed of propagation of fronts for the nonlinear diffusion equation
• The critical wave speed for the Fisher–Kolmogorov–Petrowskii–Piscounov equation with cut-off
• Bifurcations of cuspidal loops
• Canard cycles and center manifolds
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