Motion of nonadmissible convex polygons by crystalline curvature

DOI10.2977/prims/1199403812zbMath1132.53036OpenAlexW2129350594MaRDI QIDQ2467698

Shigetoshi Yazaki

Publication date: 28 January 2008

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1199403812

zbMATH Keywords

convex polygoncrystalline motionWulff shapecrystalline curvature

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Curves in Euclidean and related spaces (53A04) Crystals in solids (74N05)

Related Items (5)

Unnamed Item ⋮ Unnamed Item ⋮ A fast blow-up solution and degenerate pinching arising in an anisotropic crystalline motion ⋮ Motion by crystalline-like mean curvature: A survey ⋮ Crystalline flow starting from a general polygon

Cites Work

• Singularities in crystalline curvature flows
• Multiphase thermomechanics with interfacial structure. II: Evolution of an isothermal interface
• Two examples of nonconvex self-similar solution curves for a crystalline curvature flow
• Expanding selfsimilar solutions of a crystalline flow with applications to contour figure analysis
• Regularity and Convergence of Crystalline Motion
• Self-similar Expanding Solutions in a Sector for a Crystalline Flow
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