Turing pattern formation on the sphere for a morphochemical reaction-diffusion model for electrodeposition

DOI10.1016/j.cnsns.2017.01.008OpenAlexW2571924096MaRDI QIDQ2005484

Deborah Lacitignola, Benedetto Bozzini, Ivonne Sgura, Massimo Frittelli

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2017.01.008

zbMATH Keywords

pattern classificationreaction-diffusionTuring patternselectrodepositionsurface finite elementsbattery modelingIMEX Euler

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Classical thermodynamics, heat transfer (80-XX)

Related Items (23)

Pattern formation on a growing oblate spheroid. An application to adult sea urchin development ⋮ Numerical preservation of velocity induced invariant regions for reaction-diffusion systems on evolving surfaces ⋮ An efficient numerical method for reaction-diffusion equation on the general curved surfaces ⋮ Adaptive POD-DEIM correction for Turing pattern approximation in reaction-diffusion PDE systems ⋮ Finite-time synchronization of intermittently controlled reaction-diffusion systems with delays: a weighted LKF method ⋮ Virtual element method for elliptic bulk‐surface PDEs in three space dimensions ⋮ Piecewise DMD for oscillatory and Turing spatio-temporal dynamics ⋮ On the robustness of discontinuous patterns in degenerate reaction-diffusion systems with perturbed hysteresis ⋮ Spiral waves on the sphere for an alloy electrodeposition model ⋮ Modeling and simulation of the hexagonal pattern formation of honeycombs by the immersed boundary method ⋮ Persistence and Turing instability in a cross-diffusive predator-prey system with generalist predator ⋮ Matrix-oriented discretization methods for reaction-diffusion PDEs: comparisons and applications ⋮ Pattern formation in reaction-diffusion systems on evolving surfaces ⋮ Algorithm for some anomalously diffusive hyperbolic systems in molecular dynamics: theoretical analysis and pattern formation ⋮ A parallelized computational model for multidimensional systems of coupled nonlinear fractional hyperbolic equations ⋮ Bayesian parameter identification for Turing systems on stationary and evolving domains ⋮ Gradient recovery-based adaptive stabilized mixed FEM for the convection-diffusion-reaction equation on surfaces ⋮ Parameter identification through mode isolation for reaction–diffusion systems on arbitrary geometries ⋮ Pattern formation and parameter inversion for a discrete Lotka-Volterra cooperative system ⋮ Dynamics of diffusive modified Previte-Hoffman food web model ⋮ Cross-diffusion effects on a morphochemical model for electrodeposition ⋮ Two different approaches for parameter identification in a spatial-temporal rumor propagation model based on Turing patterns ⋮ Parameter estimation for a morphochemical reaction-diffusion model of electrochemical pattern formation

Uses Software

• Matlab
• PRED_PREY

Cites Work

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