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math.AP2025
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 locall…
math.AP2025
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…
math.AP2025
Improved quasi-invariance result for the periodic Benjamin-Ono-BBM equation
Justin Forlano
We extend recent results of Genovese-Luca-Tzvetkov (2022) regarding the quasi-invariance of Gaussian measures under the flow of the periodic Benjamin-Ono-BBM (BO-BBM) equation to t…