
In this note we establish exponentially fast smooth convergence for global curve diffusion flows, and discuss open problems relating embeddedness to global existence (Giga's conjecture) and the shape of Type I singularities (Chou's conjecture).
11 pages
global existence, Mathematics - Differential Geometry, T57-57.97, convergence, Applied mathematics. Quantitative methods, surface diffusion, 53C44, geometric analysis, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), curvature, partial differential equation, FOS: Mathematics, curve diffusion, Analysis of PDEs (math.AP)
global existence, Mathematics - Differential Geometry, T57-57.97, convergence, Applied mathematics. Quantitative methods, surface diffusion, 53C44, geometric analysis, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), curvature, partial differential equation, FOS: Mathematics, curve diffusion, Analysis of PDEs (math.AP)
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