Myles Workman

activity

20232026

collaborators

4 papers

math.DG2026

Parabolic rectifiability of the Brakke flow

Yu Tong Liu, Myles Workman

We prove that the support of the canonical space-time measure for a Brakke flow is a parabolic $(k + 2)$ -rectifiable set. As a consequence, we obtain that at almost all points along…

math.DG2025

The space-time-Grassmann measure of the Brakke flow

Yu Tong Liu, Myles Workman

For a $k$ -dimensional Brakke flow on an open subset $U \subset R^{n}$ , over an open time interval $J$ , we prove the existence of a canonical space-time-Grassmann measure $…

math.AP2024

Gradient flow of phase transitions with fixed contact angle

Kobe Marshall-Stevens, Mayu Takada, Yoshihiro Tonegawa +1

We study the gradient flow of the Allen-Cahn equation with fixed boundary contact angle in Euclidean domains for initial data with bounded energy. Under general assumptions, we est…

math.DG2023

Upper Semicontinuity of Index Plus Nullity for Minimal and CMC Hypersurfaces

Myles Workman

We consider a sequence of bubble converging minimal hypersurfaces, or H-CMC hypersurfaces, in compact Riemannian manifolds without boundary, of dimension 4, 5, 6 or 7, and prove up…