Cross-diffusion effects on a morphochemical model for electrodeposition

DOI10.1016/J.APM.2018.01.005zbMath1480.92030OpenAlexW2791401750MaRDI QIDQ2295287

Ralf Peipmann, Deborah Lacitignola, Benedetto Bozzini, Ivonne Sgura

Publication date: 12 February 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2018.01.005

zbMATH Keywords

pattern formationfinite differencescross-diffusionTuring instabilityreaction-diffusion modelsADI method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Developmental biology, pattern formation (92C15)

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Cites Work

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• Spatio-temporal organization in a morphochemical electrodeposition model: analysis and numerical simulation of spiral waves
• A mathematical and numerical analysis of the Maxwell-Stefan diffusion equations
• Numerical approximation of Turing patterns in electrodeposition by ADI methods
• Devising efficient numerical methods for oscillating patterns in reaction-diffusion systems
• Effect of cross-diffusion on pattern formation - a nonlinear analysis
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Classification of parameter spaces for a reaction-diffusion model on stationary domains
• Coupling of morphology and chemistry leads to morphogenesis in electrochemical metal growth: a review of the reaction-diffusion approach
• Cross-diffusion-driven instability in a reaction-diffusion Harrison predator-prey model
• Turing pattern formation on the sphere for a morphochemical reaction-diffusion model for electrodeposition
• Weakly nonlinear analysis of Turing patterns in a morphochemical model for metal growth
• Labyrinthine versus straight-striped patterns generated by two-dimensional Turing systems
• Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations
• Super-critical and sub-critical bifurcations in a reaction-diffusion Schnakenberg model with linear cross-diffusion
• Turing Patterns in Deserts
• On the Maxwell-Stefan Approach to Multicomponent Diffusion
• Spatio-temporal organization in a morphochemical electrodeposition model: Hopf and Turing instabilities and their interplay
• The chemical basis of morphogenesis
• Global existence of solutions in invariant regions for reaction-diffusion systems with a balance law and a full matrix of diffusion coefficients

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