Journal
MATHEMATICS IN ENGINEERING
Volume 4, Issue 1, Pages -Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/mine.2022001
Keywords
curve diffusion; surface diffusion; global existence; convergence; curvature; partial differential equation; geometric analysis
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Funding
- Okinawa Institute of Science and Technology
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This note establishes exponential smooth convergence for global curve diffusion flows, and discusses open problems related to embeddedness and global existence.
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).
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