2 papers
math.CA2022
Subsets of rectifiable curves in Banach spaces II: universal estimates for almost flat arcs
Matthew Badger, Sean McCurdy
We prove that in any Banach space the set of windows in which a rectifiable curve resembles two or more straight line segments is quantitatively small with constants that are indep…
math.AP2022
Non-existence of cusps for a Free-boundary Problem for Water Waves
Sean McCurdy
In arXiv:0908.1031, Varvaruca and Weiss eliminate the existence of cusps for a free-boundary problem for two-dimensional water waves under assumptions that hold for solutions such…