20 citations · 32 across the 19 of their papers we have counts for
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Almost sure global well-posedness for the Benjamin-Bona-Mahony equation
Justin Forlano
We prove that the Benjamin-Bona-Mahony equation is almost surely globally well-posed with respect to random Gaussian initial data of negative Sobolev regularity in $H^{s}(\mathbb{T…
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 f…
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-p…
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…