11 papers
Sub-critical well-posedness for the intermediate nonlinear Schrödinger equation on the line
Andreia Chapouto, Justin Forlano, Thierry Laurens
We continue our study of the well-posedness theory for the intermediate nonlinear Schrödinger equation (INLS). Firstly, we prove that INLS is locally well-posed in $H^s (\mathbb{R}…
Local and global well-posedness for the extended Schrödinger-Benjamin-Ono system
Puti Dai, Justin Forlano
We study the well-posedness problem for the extended Schrödinger-Benjamin-Ono system (eSBO) on the real line. This system couples a Schrödinger field with a Benjamin-Ono type…
Well-posedness for the periodic Intermediate nonlinear Schrödinger equation
Andreia Chapouto, Justin Forlano, Thierry Laurens
We study the well-posedness for the intermediate nonlinear Schrödinger equation (INLS) with periodic boundary conditions. Using a gauge transform, we obtain large data local well-…
Invariant Gibbs dynamics for the hyperbolic sinh-Gordon model
Justin Forlano, Younes Zine
We study the hyperbolic defocusing sinh-Gordon model with parameter $β^2>0$ and its associated Gibbs dynamics on the two-dimensional torus. We establish global well-posedness of t…
On the well-posedness of the intermediate nonlinear Schrödinger equation on the line
Andreia Chapouto, Justin Forlano, Thierry Laurens
We consider a family of intermediate nonlinear Schrödinger equations (INLS) on the real line, which includes the continuum Calogero-Moser models (CCM). We prove that INLS is local…
Invariant Gibbs dynamics for the nonlinear Schrödinger equations on the disc
Justin Forlano, Yuzhao Wang
We consider the two-dimensional defocusing nonlinear Schrödinger equation (NLS) on the unit disc in the plane with the Gibbs initial data under radial symmetry. By using a type of…