Curvature effect on asymptotic profiles of spiral curves

DOI10.1016/j.physd.2020.132657zbMath1484.35041OpenAlexW3044014327MaRDI QIDQ2077633

Zhengyang Zhang, Je-Chiang Tsai

Publication date: 21 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.physd.2020.132657

zbMATH Keywords

eikonal equationasymptotic profilescurvature flow equationinvolute of circlessteadily rotating spiral curve

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Curves in Euclidean and related spaces (53A04) Pattern formations in context of PDEs (35B36)

Cites Work

• Singular perturbation theory of traveling waves in excitable media (A review)
• On the structure of steady solutions for the kinematic model of spiral waves in excitable media
• Shape of spirals
• Complex dynamics of spiral waves and motion of curves
• Multiplicity of rotating spirals under curvature flows with normal tip motion
• Exact solutions for the kinematic model of autowaves in two-dimensional excitable media
• On the steadily rotating spirals
• Rotating spirals of curvature flows: a center manifold approach
• The Core of the Spiral
• Wave propagation under curvature effects in a heterogeneous medium
• Steady State and Long Time Convergence of Spirals Moving by Forced Mean Curvature Motion
• The growth of crystals and the equilibrium structure of their surfaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Curvature effect on asymptotic profiles of spiral curves