Reika Fukuizumi

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20112026

most citedBifurcation and stability for Nonlinear Schroedinger equations with double well potential in the semiclassical limit

22 citations · 30 across the 11 of their papers we have counts for

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math.AP2026

On the parabolic $Φ_{3}^{4}$ 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 $Φ_{3}^{4}$ model with harmonic potential. This bound yields the global well-posedness of the equation and, via the Krylov-Bo…

math.AP2026

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…

On the parabolic Φ34​ model for the harmonic oscillator II: global existence and invariant measures

Ergodicity for a Constantin-Lax-Majda-DeGregorio model of turbulent flow

On the parabolic $Φ_{3}^{4}$ model for the harmonic oscillator II: global existence and invariant measures