38 citations · 150 across the 39 of their papers we have counts for
3 papers · 2 filters
Convergence of a time-stepping scheme to the free boundary in the supercooled Stefan problem
Vadim Kaushansky, Christoph Reisinger, Mykhaylo Shkolnikov +1
The supercooled Stefan problem and its variants describe the freezing of a supercooled liquid in physics, as well as the large system limits of systemic risk models in finance and…
Superposition and mimicking theorems for conditional McKean-Vlasov equations
Daniel Lacker, Mykhaylo Shkolnikov, Jiacheng Zhang
We consider conditional McKean-Vlasov stochastic differential equations (SDEs), such as the ones arising in the large-system limit of mean field games and particle systems with mea…
Zero kinetic undercooling limit in the supercooled Stefan problem
Graeme Baker, Mykhaylo Shkolnikov
We study the solutions of the one-phase supercooled Stefan problem with kinetic undercooling, which describes the freezing of a supercooled liquid, in one spatial dimension. Assumi…