Showing math.APShow all
3 papers · 1 filter
math.AP2026
Uniqueness of the maximal solution of the supercooled Stefan problem in 1D
Kai Hong Chau, Young-Heon Kim, Mathav Murugan
We prove uniqueness of the maximal weak solutions to the supercooled Stefan problem in 1 dimension. This follows by showing that in 1 dimension, the optimal solution of the corresp…
math.AP2024
Existence for the Supercooled Stefan Problem in General Dimensions
Sunhi Choi, Inwon C. Kim, Young-Heon Kim
We prove the global-time existence of weak solutions to the supercooled Stefan problem. Our result holds in general space dimensions and with a general class of initial data. In ad…
math.AP2023
The Nonlocal Stefan Problem via a Martingale Transport
Raymond Chu, Inwon Kim, Young-Heon Kim +1
We study the nonlocal Stefan problem, where the phase transition is described by a nonlocal diffusion as well as the change of enthalpy functions. By using a stochastic optimizatio…