17 citations · 19 across the 10 of their papers we have counts for
11 papers
Invariant Gibbs dynamics for the hyperbolic sinh-Gordon model
Justin Forlano, Younes Zine
We study the hyperbolic defocusing sinh-Gordon model with parameter and its associated Gibbs dynamics on the two-dimensional torus. We establish global well-posedness of th…
Hyperbolic sine-Gordon model beyond the first threshold
Younes Zine
We study the hyperbolic sine-Gordon model, with a parameter $\be^2 > 0$, and its associated Gibbs dynamics on the two-dimensional torus. By introducing a physical space approach to…
Stochastic complex Ginzburg-Landau equation on compact surfaces
Tristan Robert, Younes Zine
We study a stochastic complex Ginzburg-Landau equation (SCGL) on compact surfaces with magnetic Laplacian and polynomial nonlinearity, forced by a space-time white noise. After ren…
A simple construction of the sine-Gordon model via stochastic quantization
Massimiliano Gubinelli, Martin Hairer, Tadahiro Oh +1
We present a simple PDE construction of the sine-Gordon measure below the first threshold ($\be^2 < 4π$), in both the finite and infinite volume settings, by studying the correspon…
Global well-posedness of one-dimensional cubic fractional nonlinear Schrödinger equations in negative Sobolev spaces
Enguerrand Brun, Guopeng Li, Ruoyuan Liu +1
We study the Cauchy problem for the cubic fractional nonlinear Schrödinger equation (fNLS) on the real line and on the circle. In particular, we prove global well-posedness of the…
On the inviscid limit of the singular stochastic complex Ginzburg-Landau equation at statistical equilibrium
Younes Zine
We study the limiting behavior of the two-dimensional singular stochastic stochastic cubic nonlinear complex Ginzburg-Landau with Gibbs measure initial data. We show that in the ap…