On the classification of networks self-similarly moving by curvature

DOI10.1515/geofl-2017-0006zbMath1388.53056OpenAlexW2782761006MaRDI QIDQ1698606

Emanuele Haus, Carlo Mantegazza, Pietro Baldi

Publication date: 16 February 2018

Published in: Geometric Flows (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/geofl-2017-0006

zbMATH Keywords

motion by curvatureshrinkersevolution by curvaturenetwork of curve in plane

Mathematics Subject Classification ID

Related Items (1)

Existence of a lens-shaped cluster of surfaces self-shrinking by mean curvature

Cites Work

• Evolution of spoon-shaped networks
• Self-similar solutions of a 2-D multiple-phase curvature flow
• Asymptotic behavior for singularities of the mean curvature flow
• The normalized curve shortening flow and homothetic solutions
• On short time existence for the planar network flow
• Motion by curvature of networks with two triple junctions
• Networks self-similarly moving by curvature with two triple junctions
• Motion by curvature of planar networks II
• Self similar expanding solutions of the planar network flow
• Evolution of convex lens-shaped networks under the curve shortening flow
• A stable manifold theorem for the curve shortening equation
• The Motion of a Surface by Its Mean Curvature. (MN-20)
• Elliptic regularization and partial regularity for motion by mean curvature
• Curvature evolution of nonconvex lens-shaped domains
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