Explicitly Solvable Nonlocal Eigenvalue Problems and the Stability of Localized Stripes in Reaction-Diffusion Systems

DOI10.1111/sapm.12093zbMath1338.35246OpenAlexW2151147045MaRDI QIDQ2793206

Wang Hung Tse, Michael J. Ward, Iain R. Moyles

Publication date: 15 March 2016

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10344/6551

zbMATH Keywords

Gierer-Meinhardt\ systemnon-local\ eigenvalue\ problempattern\ formationreaction-diffusion\ equationsstability\ of\ solutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Models of societies, social and urban evolution (91D10) Pattern formations in context of PDEs (35B36)

Related Items (9)

Spatially Periodic Multipulse Patterns in a Generalized Klausmeier--Gray--Scott Model ⋮ A numerical framework for singular limits of a class of reaction diffusion problems ⋮ Influence of curvature, growth, and anisotropy on the evolution of Turing patterns on growing manifolds ⋮ Existence, Stability, and Dynamics of Ring and Near-Ring Solutions to the Saturated Gierer--Meinhardt Model in the Semistrong Regime ⋮ The explicit solution to the initial-boundary value problem of Gierer-Meinhardt model ⋮ Asynchronous Instabilities of Crime Hotspots for a 1-D Reaction-Diffusion Model of Urban Crime with Focused Police Patrol ⋮ Pulse Solutions for an Extended Klausmeier Model with Spatially Varying Coefficients ⋮ Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems ⋮ Transition to blow-up in a reaction–diffusion model with localized spike solutions

Uses Software

• VLUGR2

Cites Work

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