Pulsating travelling fronts: Asymptotics and homogenization regimes

DOI10.1017/S0956792508007511zbMath1162.35064arXiv0709.3723OpenAlexW2951797069WikidataQ56774016 ScholiaQ56774016MaRDI QIDQ3532294

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Publication date: 3 November 2008

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.3723

zbMATH Keywords

diffusion equationshomogenization regimesKolmogrov-Petrovsky-Piskunov nonlinearities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (14)

Positive steady states of reaction-diffusion-advection competition models in periodic environment ⋮ Speed-up of combustion fronts in shear flows ⋮ Extinction versus persistence in strong oscillating flows ⋮ Uniqueness and stability properties of monostable pulsating fronts ⋮ Qualitative properties of monostable pulsating fronts: Exponential decay and monotonicity ⋮ Two-dimensional curved fronts in a periodic shear flow ⋮ Spreading speeds in slowly oscillating environments ⋮ Propagation and blocking in periodically hostile environments ⋮ Asymptotics of the KPP minimal speed within large drift ⋮ The principal eigenvalue of a space-time periodic parabolic operator ⋮ The speed of traveling waves in a FKPP-Burgers system ⋮ The non-monotonicity of the KPP speed with respect to diffusion in the presence of a shear flow ⋮ Slow and fast minimal speed traveling waves of the FKPP equation with chemotaxis ⋮ Min-Max formulae for the speeds of pulsating travelling fronts in periodic excitable media

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