2 papers
math.AP2025
The supercooled Stefan problem: fractal freezing and the fine structure of maximal solutions
Raymond Chu, Inwon Kim, Sebastian Munoz
We study the supercooled Stefan problem in arbitrary dimensions. First, we study general solutions and their irregularities, showing generic fractal freezing and nucleation, based…
math.AP2025
Regularity of the free boundary for the supercooled Stefan problem in arbitrary dimensions
Max Engelstein, Inwon Kim, Sebastian Munoz
We study the free boundary in the supercooled Stefan problem, a classical model for the solidification of water below its freezing temperature. In contrast with the melting problem…