An instability criterion for activator-inhibitor systems in a two-dimensional ball

DOI10.1016/j.jde.2006.03.015zbMath1154.35371OpenAlexW2018783993MaRDI QIDQ852686

Yasuhito Miyamoto

Publication date: 15 November 2006

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.03.015

zbMATH Keywords

instabilityreaction-diffusion systemactivator-inhibitor systemshadow systemnodal domainnodal curve

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Stability problems for infinite-dimensional dissipative dynamical systems (37L15)

Related Items

An instability criterion for activator-inhibitor systems in a two-dimensional ball. II, Nonlocal eigenvalue problems arising in a generalized phase-field-type system, On positive solutions generated by semi-strong saturation effect for the Gierer-Meinhardt system, Steady state solutions for the Gierer-Meinhardt system in the whole space, A planar convex domain with many isolated ``hot spots on the boundary, Point-condensation phenomena and saturation effect for the one-dimensional Gierer-Meinhardt system, Instability of multi-spot patterns in shadow systems of reaction-diffusion equations

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