Rigorous asymptotic expansions for critical wave speeds in a family of scalar reaction-diffusion equations

DOI10.1007/s10884-005-9002-1zbMath1153.34327OpenAlexW2010809274MaRDI QIDQ2494260

Tasso J. Kaper, Nikola Popović

Publication date: 26 June 2006

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-005-9002-1

zbMATH Keywords

traveling wavesblow-up techniqueFKPP equationgeometric desingularizationReaction-diffusion equationscritical wave speeds

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (9)

The asymptotic critical wave speed in a family of scalar reaction-diffusion equations ⋮ Traveling wave solutions of periodic nonlocal Fisher-KPP equations with non-compact asymmetric kernel ⋮ A geometric analysis of front propagation in a family of degenerate reaction-diffusion equations with cutoff ⋮ Traveling waves of delayed Zakharov-Kuznetsov Kuramoto-Sivashinsky equation ⋮ Existence, uniqueness, and stability of generalized traveling waves in time dependent monostable equations ⋮ Gevrey properties of the asymptotic critical wave speed in a family of scalar reaction-diffusion equations ⋮ Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats ⋮ Variational principle for spreading speeds and generalized propagating speeds in time almost periodic and space periodic KPP models ⋮ Spreading and generalized propagating speeds of discrete KPP models in time varying environments

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