22 citations · 30 across the 11 of their papers we have counts for
3 papers · 1 filter
On the parabolic model for the harmonic oscillator II: global existence and invariant measures
Aurélien Deya, Reika Fukuizumi, Laurent Thomann
We establish an a priori bound for the dynamical parabolic model with harmonic potential. This bound yields the global well-posedness of the equation and, via the Krylov-Bo…
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…
Ergodicity for a Constantin-Lax-Majda-DeGregorio model of turbulent flow
Shunsuke Fujita, Reika Fukuizumi, Takashi Sakajo
This paper presents a mathematical analysis of a one-dimensional model of turbulence based on a stochastic generalized Constantin-Lax-Majda-DeGregorio (gCLMG) equation. We focus on…