Curvature evolution of nonconvex lens-shaped domains

DOI10.1515/CRELLE.2011.041zbMath1237.53063arXiv0906.0166OpenAlexW2964168829WikidataQ57535314 ScholiaQ57535314MaRDI QIDQ5198589

Giovanni Bellettini, Matteo Novaga

Publication date: 8 August 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.0166

zbMATH Keywords

curvature flowtriple junctionseventual convexityplanar nonconvex lens-shaped domains

Mathematics Subject Classification ID

Related Items (10)

Global stability of traveling waves for an area preserving curvature flow with contact angle condition ⋮ On the mean curvature flow of grain boundaries ⋮ Mean curvature flow by the Allen–Cahn equation ⋮ On the classification of networks self-similarly moving by curvature ⋮ Mean curvature flow with triple junctions in higher space dimensions ⋮ Motion by curvature of planar curves with end points moving freely on a line ⋮ Non–existence oftheta–shaped self–similarly shrinking networks moving by curvature ⋮ Existence of a lens-shaped cluster of surfaces self-shrinking by mean curvature ⋮ Singular Neumann Boundary Problems for a Class of Fully Nonlinear Parabolic Equations in One Dimension ⋮ Uniqueness of regular shrinkers with two enclosed regions

Cites Work

• Self-similar solutions of a 2-D multiple-phase curvature flow
• Interior estimates for hypersurfaces moving by mean curvature
• Parabolic equations for curves on surfaces. II: Intersections, blow-up and generalized solutions
• Parabolic equations for curves on surfaces. I: Curves with \(p\)-integrable curvature
• On three-phase boundary motion and the singular limit of a vector-valued Ginzburg-Landau equation

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