Multiplicity of rotating spirals under curvature flows with normal tip motion

DOI10.1016/j.jde.2004.02.012zbMath1063.34001OpenAlexW1983225793MaRDI QIDQ1887554

Je-Chiang Tsai, Bernold Fiedler, Jong-Shenq Guo

Publication date: 22 November 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.02.012

zbMATH Keywords

energy functionsecond-order ordinary differential equationsteadily rotating spiral waves

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Kinematics of a rigid body (70B10) Kinematics of a particle (70B05)

Related Items (9)

Crystalline motion of spiral-shaped polygonal curves with a tip motion ⋮ Existence and uniqueness of rigidly rotating spiral waves by a wave front interaction model ⋮ Self-similar solutions for the kinematic model equation of spiral waves ⋮ On the steadily rotating spirals ⋮ Rotating spirals of curvature flows: a center manifold approach ⋮ Kinematic model of propagating arc-like segments with feedback ⋮ On spiral solutions to generalized crystalline motion with a rotating tip motion ⋮ Curvature effect on asymptotic profiles of spiral curves ⋮ A level set approach reflecting sheet structure with single auxiliary function for evolving spirals on crystal surfaces

Cites Work

• On the structure of steady solutions for the kinematic model of spiral waves in excitable media
• Complex dynamics of spiral waves and motion of curves
• Exact solutions for the kinematic model of autowaves in two-dimensional excitable media
• Rotating spirals of curvature flows: a center manifold approach
• The structure of solutions for equations related to the motions of plane curves

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