Propagation in Fisher-KPP type equations with fractional diffusion in periodic media

DOI10.1016/j.crma.2012.10.007zbMath1253.35198arXiv1209.4809OpenAlexW2103068884WikidataQ56828149 ScholiaQ56828149MaRDI QIDQ1759418

Anne-Charline Coulon, Xavier Cabré, Jean-Michel Roquejoffre

Publication date: 20 November 2012

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

Full work available at URL: https://arxiv.org/abs/1209.4809

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Fractional partial differential equations (35R11)

Related Items (14)

The effect of a line with nonlocal diffusion on Fisher-KPP propagation ⋮ Improved bounds for reaction-diffusion propagation driven by a line of nonlocal diffusion ⋮ Gradient estimates and symmetrization for Fisher-KPP front propagation with fractional diffusion ⋮ Exponential propagation for fractional reaction-diffusion cooperative systems with fast decaying initial conditions ⋮ Super-linear spreading in local and non-local cane toads equations ⋮ Velocity enhancement of reaction-diffusion fronts by a line of fast diffusion ⋮ Time-fractional equations with reaction terms: fundamental solutions and asymptotics ⋮ Transition fronts and stretching phenomena for a general class of reaction-dispersion equations ⋮ Propagation in a fractional reaction-diffusion equation in a periodically hostile environment ⋮ Accelerated front propagation for monostable equations with nonlocal diffusion: multidimensional case ⋮ Singular limits for models of selection and mutations with heavy-tailed mutation distribution ⋮ Speed-up of reaction-diffusion fronts by a line of fast diffusion ⋮ Front propagation for integro-differential KPP reaction-diffusion equations in periodic media ⋮ Singular Limits for Reaction-Diffusion Equations with Fractional Laplacian and Local or Nonlocal Nonlinearity

Cites Work

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• The periodic patch model for population dynamics with fractional diffusion
• Asymptotic spreading in heterogeneous diffusive excitable media
• Front propagation in Fisher-KPP equations with fractional diffusion
• Multidimensional nonlinear diffusion arising in population genetics
• A PDE approach to certain large deviation problems for systems of parabolic equations
• On spreading speeds and traveling waves for growth and migration models in a periodic habitat
• Fast propagation for KPP equations with slowly decaying initial conditions
• Accelerating Solutions in Integro-Differential Equations

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