Representation formulae for linear hyperbolic curvature flows

DOI10.1016/J.JDE.2024.03.007MaRDI QIDQ6493732

James A. McCoy, Ibraheem Otuf

Publication date: 29 April 2024

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

zbMATH Keywords

separation of variablescurvature flowhyperbolic partial differential equationlinear partial differential equationFourier series solution

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Second-order hyperbolic equations (35L10)

Cites Work

• On hyperbolic Gauss curvature flows
• A representation formula for the inverse harmonic mean curvature flow
• The gradient and heavy ball with friction dynamical systems: The quasiconvex case
• Hyperbolic mean curvature flow: evolution of plane curves
• Evolving a convex closed curve to another one via a length-preserving linear flow
• Contraction of convex hypersurfaces by their affine normal
• Representation formulae for higher order curvature flows
• The hyperbolic length-preserving curvature difference flow of plane curves
• The shrinking figure eight and other solitons for the curve diffusion flow
• Hyperbolic mean curvature flow with a forcing term: evolution of plane curves
• Self-similar solutions to the curve shortening flow
• Hyperbolic inverse mean curvature flow
• A Hyperbolic Theory for the Evolution of Plane Curves

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