Curve shortening flow in arbitrary dimensional Euclidean space

DOI10.1007/s10114-004-0426-zzbMath1089.53047OpenAlexW2397200176MaRDI QIDQ2581199

Xiaoxiang Jiao, Yun Yan Yang

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0426-z

zbMATH Keywords

geometric evolution equations

Mathematics Subject Classification ID

Related Items (3)

Ginzburg-Landau vortex and mean curvature flow with external force field ⋮ Curve shortening flow in a 3-dimensional pseudohermitian manifold ⋮ Singularities of the curve shortening flow in a Riemannian manifold

Cites Work

• Unnamed Item
• Asymptotic behavior for singularities of the mean curvature flow
• The heat equation shrinking convex plane curves
• The heat equation shrinks embedded plane curves to round points
• Parabolic equations for curves on surfaces. II: Intersections, blow-up and generalized solutions
• Singularities of the curve shrinking flow for space curves
• Shortening space curves and flow through singularities
• On Fenchel's Theorem

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