Pattern selection in the Schnakenberg equations: From normal to anomalous diffusion

DOI10.1002/num.22842arXiv2106.10263OpenAlexW3198921458WikidataQ115397266 ScholiaQ115397266MaRDI QIDQ6069473

Yanzhi Zhang, Unnamed Author, Unnamed Author

Publication date: 16 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.10263

zbMATH Keywords

pattern formationanomalous diffusionTuring instabilityfractional LaplacianSchnakenberg equations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability in context of PDEs (35B35) Brownian motion (60J65) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Chemical kinetics in thermodynamics and heat transfer (80A30) Bifurcations in context of PDEs (35B32) Fractional partial differential equations (35R11) Pattern formations in context of PDEs (35B36) Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.) (60K50)

Related Items (2)

Bifurcation analysis and spatiotemporal patterns in delayed Schnakenberg reaction-diffusion model ⋮ Spike solutions to the supercritical fractional Gierer-Meinhardt system

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