Monotonicity of the modulus under curve shortening flow

Autor:	Sobnack, Arjun, Topping, Peter M.
Rok vydání:	2024
Předmět:	Mathematics - Differential Geometry Mathematics - Analysis of PDEs 53E10 35K55 30C85 31A15
Druh dokumentu:	Working Paper
Popis:	Given two disjoint nested embedded closed curves in the plane, both evolving under curve shortening flow, we show that the modulus of the enclosed annulus is monotonically increasing in time. An analogous result holds within any ambient surface satisfying a lower curvature bound.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.03098 Zobrazit plný text záznamu View this record from Arxiv