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A note on traveling waves for area-preserving geometric flows

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Publication:2042463
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DOI10.2969/ASPM/08510227zbMath1469.35079OpenAlexW3115592010MaRDI QIDQ2042463

Takashi Kagaya, Yoshihito Kohsaka

Publication date: 20 July 2021

Full work available at URL: https://doi.org/10.2969/aspm/08510227


zbMATH Keywords

shooting argumentarea-preserving curvature flow


Mathematics Subject Classification ID

Parameter dependent boundary value problems for ordinary differential equations (34B08) Traveling wave solutions (35C07) Quasilinear parabolic equations with mean curvature operator (35K93) Flows related to mean curvature (53E10)


Related Items (1)

Existence of non-convex traveling waves for surface diffusion of curves with constant contact angles




Cites Work

  • Motion by curvature of planar curves with end points moving freely on a line
  • Existence of non-convex traveling waves for surface diffusion of curves with constant contact angles
  • Exponential stability of a traveling wave for an area preserving curvature motion with two endpoints moving freely on a line
  • On a free boundary problem for the curvature flow with driving force
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