Asymptotic behavior of anisotropic curve flows

DOI10.4310/JDG/1214460796zbMath0917.53014OpenAlexW1521362484WikidataQ115174766 ScholiaQ115174766MaRDI QIDQ1265276

Xi-Ping Zhu

Publication date: 29 July 1999

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214460796

zbMATH Keywords

singularitiesanisotropic flowisoperimetric estimatesevolution of curvescurves on Riemannian surfacesMinkowski isoperimetrix

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Curves in Euclidean and related spaces (53A04) Initial value problems for linear higher-order PDEs (35G10) Perturbations of PDEs on manifolds; asymptotics (58J37) Higher-order parabolic equations (35K25)

Related Items (5)

Classification of convex ancient solutions to curve shortening flow on the sphere ⋮ Inextensible flows of curves on lightlike surfaces ⋮ Smooth Compactness for Spaces of Asymptotically Conical Self-Expanders of Mean Curvature Flow ⋮ Evolution by mean curvature flow of Lagrangian spherical surfaces in complex Euclidean plane ⋮ The curve shortening flow with density of a spherical curve in codimension two

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