Non–existence oftheta–shaped self–similarly shrinking networks moving by curvature

DOI10.1080/03605302.2018.1446162zbMath1391.53002arXiv1604.01284OpenAlexW2963862196MaRDI QIDQ5745181

Carlo Mantegazza, Pietro Baldi, Emanuele Haus

Publication date: 5 June 2018

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.01284

zbMATH Keywords

motion by curvatureself-shrinkersnetworks of curves

Mathematics Subject Classification ID

Related Items (2)

Existence of a lens-shaped cluster of surfaces self-shrinking by mean curvature ⋮ Uniqueness of regular shrinkers with two enclosed regions

Uses Software

• MPFR

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
• 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
• MPFR
• 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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