Instability of stationary solutions of reaction-diffusion-equations on graphs

DOI10.1007/s00025-014-0429-8zbMath1332.35373OpenAlexW2064971027MaRDI QIDQ498382

José A. Lubary, Joachim von Below

Publication date: 28 September 2015

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-014-0429-8

zbMATH Keywords

stabilityattractorsnetworksdouble-well potentialmetric graphsreaction-diffusion-equations

Mathematics Subject Classification ID

Attractors (35B41) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (13)

Non-Archimedean Models of Morphogenesis ⋮ Asymptotic convergence of solutions of Keller-Segel equations in network shaped domains ⋮ Stability implies constancy for fully autonomous reaction-diffusion-equations on finite metric graphs ⋮ Turing patterns in a \(p\)-adic FitzHugh-Nagumo system on the unit ball ⋮ Reaction-diffusion equations on complex networks and Turing patterns, via \(p\)-adic analysis ⋮ Multi-peak solutions for the Schnakenberg model with heterogeneity on star shaped graphs ⋮ Stability Matters for Reaction–Diffusion–Equations on Metric Graphs Under the Anti-Kirchhoff Vertex Condition ⋮ Instability of stationary solutions of reaction-diffusion-equations on graphs ⋮ A construction of patterns with many critical points on topological tori ⋮ Population dynamics in river networks ⋮ Existence of multi-peak solutions to the Schnakenberg model with heterogeneity on metric graphs ⋮ Instability of Stationary Solutions of Evolution Equations on Graphs Under Dynamical Node Transition ⋮ Stability analysis of spike solutions to the Schnakenberg model with heterogeneity on metric graphs

Cites Work

• Instability of stationary solutions of reaction-diffusion-equations on graphs
• Travelling fronts in nonlinear diffusion equations
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• Instability of Stationary Solutions of Evolution Equations on Graphs Under Dynamical Node Transition
• Sturm-Liouville eigenvalue problems on networks
• Stability of nonconstant steady states in reaction-diffusion systems on graphs
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