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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…
math.AP2024
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…