The asymptotic critical wave speed in a family of scalar reaction-diffusion equations

DOI10.1016/j.jmaa.2006.03.050zbMath1110.35025OpenAlexW2088497434MaRDI QIDQ865318

Nikola Popović, Freddy Dumortier, Tasso J. Kaper

Publication date: 14 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.03.050

zbMATH Keywords

asymptotic expansionstraveling wavesblow-up techniqueFisher-Kolmogorov-Petrowskii-Piscounov equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Critical exponents in context of PDEs (35B33)

Related Items (7)

Wavefront solutions for a class of nonlinear highly degenerate parabolic equations ⋮ Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations ⋮ Asymptotic behavior of solutions of a degenerate Fisher-KPP equation with free boundaries ⋮ A geometric analysis of front propagation in a family of degenerate reaction-diffusion equations with cutoff ⋮ Traveling waves for a Fisher-type reaction–diffusion equation with a flux in divergence form ⋮ Gevrey properties of the asymptotic critical wave speed in a family of scalar reaction-diffusion equations ⋮ Wave speeds for the FKPP equation with enhancements of the reaction function

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