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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…
Scaling limits of external multi-particle DLA on the plane and the supercooled Stefan problem
Sergey Nadtochiy, Mykhaylo Shkolnikov, Xiling Zhang
We consider (a variant of) the external multi-particle diffusion-limited aggregation (MDLA) process of Rosenstock and Marquardt on the plane. Based on the recent findings of [11],…
Reflected BSDEs in non-convex domains
Jean-François Chassagneux, Sergey Nadtochiy, Adrien Richou
This paper establishes the well-posedness of reflected backward stochastic differential equations in the non-convex domains that satisfy a weaker version of the star-shaped propert…
Mean field systems on networks, with singular interaction through hitting times
Sergey Nadtochiy, Mykhaylo Shkolnikov
Building on the line of work [DIRT15a], [DIRT15b], [NS17a], [DT17], [HLS18], [HS18] we continue the study of particle systems with singular interaction through hitting times. In co…