Free Boundary Regularity for the Stefan Problem

Sunhi Choi
Department of Mathematics
The University of Arizona

I will talk about the regularity properties of the free boundary for the Stefan problem, which models the phase transition between solids and liquids, and will present a recent work: If the initial free boundary is Lipschitz with a small Lipschitz constant, then the weak (viscosity) solution of the one-phase Stefan problem immediately regularizes and is smooth in space and time, for a small positive time.