22 citations · 30 across the 11 of their papers we have counts for
6 papers · 1 filter
An Effective SPDE Model for a Schrödinger Equation with a Fluctuating Magnetic Potential
Franco Flandoli, Reika Fukuizumi, Francesco Grotto +1
We consider the Schrödinger equation for a charged particle in a randomly fluctuating external magnetic field and establish a singular perturbation limit in which the solution conv…
On the parabolic model for the harmonic oscillator: diagrams and local existence
Aurélien Deya, Reika Fukuizumi, Laurent Thomann
We prove the local wellposedness of the (renormalized) parabolic model associated with the harmonic oscillator on , that is, the equation formally written as…
The stochastic fast logarithmic equation in with multiplicative Stratonovich noise
Ioana Ciotir, Reika Fukuizumi, Dan Goreac
This paper is concerned with the existence and uniqueness of the solution for the stochastic fast logarithmic equation with Stratonovich multiplicative noise in fo…
Stationary martingale solution for the 2D stochastic Gross-Pitaevskii equation
Anne de Bouard, Arnaud Debussche, Reika Fukuizumi
In this short report we give a proof of the existence of a stationary solution to the Gross-Pitaevskii equation in driven by a space-time white noise.
Two dimensional Gross-Pitaevskii equation with space-time white noise
Anne de Bouard, Arnaud Debussche, Reika Fukuizumi
In this paper we consider the two-dimensional stochastic Gross-Pitaevskii equation, which is a model to describe Bose-Einstein condensation at positive temperature. The equation is…
Stochastic Schrödinger-Lohe model
Reika Fukuizumi, Leo Hahn
The Schrödinger-Lohe model consists of wave functions interacting with each other, according to a system of Schrödinger equations with a specific coupling such that all wave functi…