8 citations · 8 across the 10 of their papers we have counts for
15 papers
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…
Besov spaces associated with the Harmonic oscillator
Reika Fukuizumi, Tsukasa Iwabuchi
The Besov space associated with the harmonic oscillator is introduced and thoroughly explored in this paper. It provides a comprehensive summary of the fundamental concepts of the…
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…