Multi-spike patterns for the Gierer-Meinhardt model with heterogeneity on \(Y\)-shaped metric graph
DOI10.1007/s10884-022-10157-yOpenAlexW4223448404WikidataQ115382860 ScholiaQ115382860MaRDI QIDQ6196008
Publication date: 14 March 2024
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-022-10157-y
Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Initial-boundary value problems for second-order parabolic systems (35K51) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Cites Work
- Unnamed Item
- Mathematical aspects of pattern formation in biological systems
- On the Gierer-Meinhardt system with precursors
- Existence, classification and stability analysis of multiple-peaked solutions for the Gierer-Meinhardt system in \(\mathbb R^1\)
- Functional analysis, Sobolev spaces and partial differential equations
- Point-condensation for a reaction-diffusion system
- Multi-bump ground states of the Gierer-Meinhardt system in \(\mathbb R^2\).
- Asymptotic behavior of entire solutions to reaction-diffusion equations in an infinite star graph
- Existence of multi-peak solutions to the Schnakenberg model with heterogeneity on metric graphs
- Vanishing viscosity approximation for linear transport equations on finite star-shaped networks
- Stability analysis of spike solutions to the Schnakenberg model with heterogeneity on metric graphs
- Bifurcation and Turing patterns of reaction-diffusion activator-inhibitor model
- Stability of multi-peak symmetric stationary solutions for the Schnakenberg model with periodic heterogeneity
- Concentration phenomena on \(Y\)-shaped metric graph for the Gierer-Meinhardt model with heterogeneity
- Existence of eigenvalues embedded in the spectral bands of Schrödinger operators on carbon nanotubes with impurities
- Parabolic models for chemotaxis on weighted networks
- Stability implies constancy for fully autonomous reaction-diffusion-equations on finite metric graphs
- The effect of heterogeneity on one-peak stationary solutions to the Schnakenberg model
- THE GIERER & MEINHARDT SYSTEM: THE BREAKING OF HOMOCLINICS AND MULTI-BUMP GROUND STATES
- Traffic Flow on a Road Network
- Stable asymmetric spike equilibria for the Gierer–Meinhardt model with a precursor field
- The stability of spike solutions to the one-dimensional Gierer-Meinhardt model
- Stability of nonconstant steady states in reaction-diffusion systems on graphs
This page was built for publication: Multi-spike patterns for the Gierer-Meinhardt model with heterogeneity on \(Y\)-shaped metric graph
