Constructs global-time weak solutions to the nonlocal Stefan problem via martingale transport, establishes connection to parabolic obstacle problem, and proves exponential convergence for the melting case.
Duvaut,Résolution d’un problème de stefan (fusion d’un bloc de glace à zéro degrées), C
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The Nonlocal Stefan Problem via a Martingale Transport
Constructs global-time weak solutions to the nonlocal Stefan problem via martingale transport, establishes connection to parabolic obstacle problem, and proves exponential convergence for the melting case.