Stable spike clusters for the one-dimensional Gierer–Meinhardt system
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Publication:4594651
DOI10.1017/S0956792516000450zbMath1386.35165MaRDI QIDQ4594651
Wei, Juncheng, Matthias Winter
Publication date: 24 November 2017
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Singular elliptic equations (35J75) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (18)
Stable boundary spike clusters for the two-dimensional Gierer-Meinhardt system ⋮ Turing–Hopf Bifurcation in Diffusive Gierer–Meinhardt Model ⋮ The effect of heterogeneity on one-peak stationary solutions to the Schnakenberg model ⋮ Stable spike clusters for the precursor Gierer-Meinhardt system in \(\mathbb {R}^2\) ⋮ Stability of multi-peak symmetric stationary solutions for the Schnakenberg model with periodic heterogeneity ⋮ Pattern Formation in a Reaction-Diffusion System with Space-Dependent Feed Rate ⋮ Existence and stability of symmetric and asymmetric patterns for the half-Laplacian Gierer–Meinhardt system in one-dimensional domain ⋮ Cluster solutions for the Fitzhugh-Nagumo system with Neumann boundary conditions ⋮ Multi-peak solutions for the Schnakenberg model with heterogeneity on star shaped graphs ⋮ Hexagonal spike clusters for some PDE's in 2D ⋮ Spike density distribution for the Gierer-Meinhardt model with precursor ⋮ Concentration phenomena on \(Y\)-shaped metric graph for the Gierer-Meinhardt model with heterogeneity ⋮ Existence and stability of one-peak symmetric stationary solutions for the Schnakenberg model with heterogeneity ⋮ Multi-bump ground states of the fractional Gierer-Meinhardt system on the real line ⋮ Existence of multi-peak solutions to the Schnakenberg model with heterogeneity on metric graphs ⋮ Stable spike clusters on a compact two-dimensional Riemannian manifold ⋮ Pulse Solutions for an Extended Klausmeier Model with Spatially Varying Coefficients ⋮ Stability analysis of spike solutions to the Schnakenberg model with heterogeneity on metric graphs
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