Dynamics and interactions of spikes on smoothly curved boundaries for reaction-diffusion systems in 2D

DOI10.1007/s13160-012-0088-7zbMath1282.35025OpenAlexW2087232222MaRDI QIDQ1943087

Toshio Ishimoto, Shin-ichiro Ei

Publication date: 15 March 2013

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-012-0088-7

zbMATH Keywords

Neumann boundary conditioncenter manifold reductionboundary spike solutionmotion of spikes along the boundary

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

Stable boundary spike clusters for the two-dimensional Gierer-Meinhardt system ⋮ Heterogeneity-induced effects for pulse dynamics in FitzHugh-Nagumo-type systems ⋮ Isolating patterns in open reaction-diffusion systems

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