Pattern formation in reaction-diffusion systems on evolving surfaces

DOI10.1016/j.camwa.2020.08.026zbMath1453.65223OpenAlexW3087124025MaRDI QIDQ2212333

Junseok Kim, Sungha Yoon, Chaeyoung Lee, Ana Yun, Jintae Park, Hyundong Kim

Publication date: 20 November 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.08.026

zbMATH Keywords

pattern formationreaction-diffusion systemLaplace-Beltrami operatorevolving surfacetriangle surface mesh

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Developmental biology, pattern formation (92C15) Finite difference methods for boundary value problems involving PDEs (65N06) Pattern formations in context of PDEs (35B36)

Related Items (6)

An efficient collocation method for long-time simulation of heat and mass transport on evolving surfaces ⋮ FMM-accelerated solvers for the Laplace-Beltrami problem on complex surfaces in three dimensions ⋮ Shape transformation on curved surfaces using a phase-field model ⋮ A second-order time-accurate unconditionally stable method for a gradient flow for the Modica-Mortola functional ⋮ The D-RBF-PU method for solving surface PDEs ⋮ Phase-field computations of anisotropic ice crystal growth on a spherical surface

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