Asymptotic propagation speeds of the Fisher-KPP equation with an effective boundary condition on a road

DOI10.1007/s00205-023-01858-9OpenAlexW4362555101MaRDI QIDQ2697534

Xuefeng Wang, Xinfu Chen, Jun-Feng He

Publication date: 12 April 2023

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-023-01858-9

zbMATH Keywords

effective boundary condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25)

Cites Work

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• The shape of expansion induced by a line with fast diffusion in Fisher-KPP equations
• On the nonlinear diffusion equation of Kolmogorov, Petrovskij, and Piscunov
• Multidimensional nonlinear diffusion arising in population genetics
• The behavior of solutions of some non-linear diffusion equations for large time
• The influence of a line with fast diffusion on Fisher-KPP propagation
• A short proof of the logarithmic Bramson correction in Fisher-KPP equations
• Convergence of solutions of the Kolmogorov equation to travelling waves
• Using effective boundary conditions to model fast diffusion on a road in a large field