Speed selection for reaction diffusion equations in heterogeneous environments

DOI10.1090/PROC/15015zbMath1525.35061arXiv2001.05696MaRDI QIDQ6049967

Mohammad Ibrahim El Smaily, Chunhua Ou

Publication date: 11 October 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.05696

zbMATH Keywords

periodic mediapropagation speedreaction-advection-diffusionlinear/nonlinear selectionupper/lower solution techniques

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Traveling wave solutions (35C07) Semilinear parabolic equations (35K58)

Cites Work

• Min-Max formulae for the speeds of pulsating travelling fronts in periodic excitable media
• The speed of propagation for KPP type problems. I: Periodic framework
• Traveling waves and spreading speeds for time-space periodic monotone systems
• Qualitative properties of monostable pulsating fronts: Exponential decay and monotonicity
• Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
• Front Propagation in Heterogeneous Media
• Linear vs. nonlinear selection for the propagation speed of the solutions of scalar reaction-diffusion equations invading an unstable equilibrium
• Front propagation in periodic excitable media

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