Liouville-Green approximation for linearly coupled systems: asymptotic analysis with applications to reaction-diffusion systems

DOI10.3934/DCDSS.2022133zbMath1495.34073arXiv2104.09593OpenAlexW4285267187MaRDI QIDQ2676234

Juraj Kováč, Václav Klika

Publication date: 27 September 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09593

zbMATH Keywords

singular perturbationreaction-diffusion systemsLiouville-Green approximationAiry functionsWKBJ

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Developmental biology, pattern formation (92C15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems ⋮ State estimation of reaction-diffusion inertial neural networks with Markovian switching channels via conjunct measurement

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