Propagation speed for reaction-diffusion equations in general domains

DOI10.1016/j.crma.2004.05.020zbMath1049.35100OpenAlexW2011822385MaRDI QIDQ1876922

Nikolai S. Nadirashvili, Henri Berestycki, François Hamel

Publication date: 20 August 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.05.020

zbMATH Keywords

periodic domainsFisher equationreaction-diffusion-advection equationspulsating frontsKolmogorov-Petrovsky-Piskunov

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57)

Related Items (7)

Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations ⋮ Traveling waves for discrete reaction-diffusion equations in the general monostable case ⋮ Front transport reduction for complex moving fronts ⋮ Reaction-diffusion equations in the half-space ⋮ Quasi-stationary regime of a branching random walk in presence of an absorbing wall ⋮ Asymptotic spreading in heterogeneous diffusive excitable media ⋮ Spreading speeds for one-dimensional monostable reaction-diffusion equations

Cites Work

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• Travelling fronts in nonlinear diffusion equations
• Multidimensional nonlinear diffusion arising in population genetics
• The speed of propagation for KPP type problems. I: Periodic framework
• On spreading speeds and traveling waves for growth and migration models in a periodic habitat
• Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena
• The speed of propagation for KPP type problems. II: General domains
• Front propagation in periodic excitable media

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