4 papers · 1 filter
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…
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…
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…
Stochastic porous media equation with Robin boundary conditions, gravity-driven infiltration and multiplicative noise
Ioana Ciotir, Dan Goreac, Juan Li +1
We aim at studying a novel mathematical model associated to a physical phenomenon of infiltration in an homogeneous porous medium. The particularities of our system are connected t…