NONUNIQUENESS FOR CRYSTALLINE CURVATURE FLOW

DOI10.1142/S0218202507002297zbMath1142.53005MaRDI QIDQ3502905

Maurizio Paolini, Matteo Novaga

Publication date: 20 May 2008

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

self-similar solutionscurve shortening flowcrystalline curvature

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Crystals in solids (74N05)

Cites Work

• Singularities in crystalline curvature flows
• Evolving convex curves
• A distance comparison principle for evolving curves
• Evolving plane curves by curvature in relative geometries. II
• On the number of solutions to the discrete two-dimensional \(L_{0}\)-Minkowski problem.
• Two examples of nonconvex self-similar solution curves for a crystalline curvature flow
• Existence of selfsimilar shrinking curves for anisotropic curvature flow equations
• Non-uniqueness of self-similar shrinking curves for an anisotropic curvature flow
• An example of three dimensional fattening for linked space curves evolving by curvature

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