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math.PR2022★ 1 cited
Stefan problem with surface tension: global existence of physical solutions under radial symmetry
Sergey Nadtochiy, Mykhaylo Shkolnikov
We consider the Stefan problem with surface tension, also known as the Stefan-Gibbs-Thomson problem, in an ambient space of arbitrary dimension. Assuming the radial symmetry of the…
math.PR2022★ 1 cited
A singular two-phase Stefan problem and particles interacting through their hitting times
Graeme Baker, Mykhaylo Shkolnikov
We consider a probabilistic formulation of a singular two-phase Stefan problem in one space dimension, which amounts to a coupled system of two McKean-Vlasov stochastic differentia…