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math.AP2025
The Stefan problem with mushy region as a scaling limit of stochastic PDE with turbulent transport
Ioana Ciotir, Franco Flandoli, Dan Goreac
This work establishes a scaling limit theorem for the Stefan problem incorporating a mushy region, demonstrating that solutions to stochastic variants with turbulent transport term…
math.AP2025
An Existence Result for a Stochastic Stefan Problem With Mushy Region and Turbulent Transport Noise
Ioana Ciotir, Franco Flandoli, Dan Goreac
This work is devoted to the proof of the existence of a martingale solution for a complex version of the stochastic Stefan problem. This particular formulation incorporates two imp…
math.AP2024
A Stochastic Porous Media Schr{ö}dinger Equation: Feynman-type Motivation, Well-Posedness and Control Interpretation
Ioana Ciotir, Dan Goreac, Juan Li +1
This paper's aim is threefold. First, using Feynman's path approach to the derivation of theclassical Schr{ö}dinger's equation in [6] and by introducing a slight path (or wave) de…