Linear spreading speeds from nonlinear resonant interaction

DOI10.1088/1361-6544/aa6c74zbMath1386.35203arXiv1609.05757OpenAlexW3098286207MaRDI QIDQ5348113

Matt Holzer, Grégory Faye, Arnd Scheel

Publication date: 14 August 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.05757

zbMATH Keywords

resonancesamplitude equationsspreading speedneural fieldstraveling fronts

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Traveling wave solutions (35C07) Pattern formations in context of PDEs (35B36)

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Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves ⋮ Invasion into remnant instability: a case study of front dynamics ⋮ Wavenumber selection in coupled transport equations ⋮ Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicty ⋮ Universal selection of pulled fronts ⋮ Bifurcation to locked fronts in two component reaction-diffusion systems ⋮ Center manifolds without a phase space ⋮ Wave train selection by invasion fronts in the FitzHugh–Nagumo equation ⋮ Instability in large bounded domains—branched versus unbranched resonances ⋮ Asymptotic Stability of Critical Pulled Fronts via Resolvent Expansions Near the Essential Spectrum

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