3 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 -rectifiable set. As a consequence, we obtain that at almost all points along…
math.DG2026
The space-time-Grassmann measure of the Brakke flow
Yu Tong Liu, Myles Workman
For a -dimensional Brakke flow on an open subset , over an open time interval , we prove the existence of a canonical space-time-Grassmann measure $…
math.AP2025
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…