The eikonal approximation to excitable reaction-diffusion systems: travelling non-planar wave fronts on the plane

DOI10.1016/0167-2789(95)00213-8zbMath0884.35062OpenAlexW2151444370MaRDI QIDQ1904336

Anthony J. Mulholland, Jagannathan Gomatam

Publication date: 19 December 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00213-8

zbMATH Keywords

eikonal equationLiouville-Green approximationparabolic type wave fronts

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57)

Related Items (3)

On the structure of steady solutions for the kinematic model of spiral waves in excitable media ⋮ Spiral waves on static and moving spherical domains ⋮ Waves of constant shape and the structure of the ``rotors boundary in excitable media

Cites Work

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• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Complex dynamics of spiral waves and motion of curves
• Curvature dependence of a model for calcium wave propagation
• A Geometrical Theory for Spiral Waves in Excitable Media
• A geometrical approach to wave-type solutions of excitable reaction-diffusion systems

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