3 papers
math.AP2025
Non-uniqueness in Mean Curvature Flow: Non-canonical solutions via the parabolic Allen--Cahn
J. M. Daniels-Holgate
When mean curvature flow evolves non-uniquely, the flow is said to fatten. The work of Ilmanen shows that any weak MCF is supported inside the fattening, and work of Hershkovits--W…
math.DG2025
Backwards uniqueness for Mean curvature flow with asymptotically conical singularities
J. M. Daniels-Holgate, Or Hershkovits
In this paper we demonstrate that if two mean curvature flows of compact hypersurfaces and encounter only isolated, multiplicity one, asymptotically conical singula…
math.DG2025
How close is too close for singular mean curvature flows?
Joshua Daniels-Holgate, Or Hershkovits
Suppose , , are two mean curvature flows in encountering a multiplicity one compact singularity at time , in such a manner that f…