Uniform dynamics for Fisher-KPP propagation driven by a line of fast diffusion under a singular limit

DOI10.1088/0951-7715/28/11/3891zbMath1336.35200arXiv1411.2426OpenAlexW323323126MaRDI QIDQ3458793

Antoine Pauthier

Publication date: 23 December 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.2426

zbMATH Keywords

reaction-diffusion systemsRobin boundary conditionsKolmogorov-Petrovsky-Piskunov-Fisher equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) First-order hyperbolic systems (35L40)

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Cites Work

• Multidimensional nonlinear diffusion arising in population genetics
• Elliptic partial differential equations of second order
• 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
• The influence of a line with fast diffusion on Fisher-KPP propagation
• Fisher–KPP propagation in the presence of a line: further effects
• The effect of a line with nonlocal diffusion on Fisher-KPP propagation
• The speed of propagation for KPP type problems. II: General domains

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