4 papers
Phase transition for weakly interacting focusing Gibbs measures with harmonic potential
Damiano Greco, Yuzhao Wang
In this paper, we study the Gibbs measures on Euclidean spaces associated to the focusing nonlinear Schrödinger equation with harmonic potential and critical non linearity whose co…
Sharp unconditional well-posedness of the 2- periodic cubic hyperbolic nonlinear Schrödinger equation
Engin Başakoğlu, Tadahiro Oh, Yuzhao Wang
We study semilinear local well-posedness of the two-dimensional periodic cubic hyperbolic nonlinear Schrödinger equation (HNLS) in Fourier-Lebesgue spaces. By employing the Fourier…
Revisiting Bourgain's probabilistic construction of solutions to the 2- cubic NLS
Tadahiro Oh, Yuzhao Wang
In a seminal paper (1996), Bourgain proved invariance of the Gibbs measure for the defocusing cubic nonlinear Schrödinger equation on the two-dimensional torus by constructing loca…
Optimal divergence rate of the focusing Gibbs measures
Damiano Greco, Guopeng Li, Rui Liang +2
We study Gibbs measures on the -dimensional torus with -(super)critical focusing interaction potentials. We establish a precise divergence rate of the partition function as…