Events
DMS Joint Topology/Geometry and Analysis and Stochastic Analysis (SASA) Seminars |
| Time: Apr 15, 2026 (03:00 PM) |
| Location: 328 Parker Hall |
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Details: Please note that we will be hosting two of these joint seminars in succession.
 Speaker: Nicolò Forcillo (Michigan State University)
Title: A perturbative approach for flat free boundaries of the one-phase Stefan problem
Abstract: In Stefan-type problems, free boundaries may not regularize instantaneously. In particular, there exist examples in which Lipschitz free boundaries preserve corners. In the two-phase Stefan problem, I. Athanasopoulos, L. Caffarelli, and S. Salsa showed that Lipschitz free boundaries in space-time become smooth under a nondegeneracy condition, as well as sufficiently "flat" ones. Their techniques are based on Caffarelli's original work in the elliptic case.
In this talk, we present a more recent approach to investigate the regularity of flat free boundaries for the one-phase Stefan problem. It relies on perturbation arguments leading to a linearization of the problem, in the spirit of the elliptic counterpart developed by D. De Silva.
This talk is based on a joint work with D. De Silva and O. Savin.
Host: Yuming Paul Zhang
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