From the 1 of 4 linked papers with an AI index.
4 papers
Phase transition for weakly interacting focusing Gibbs measures with harmonic potential
Damiano Greco, Yuzhao Wang
The paper analyzes Gibbs measures for the focusing nonlinear Schrödinger equation with a harmonic potential as the interaction strength vanishes, identifying a critical threshold t…
Sharp unconditional well-posedness of the 2- periodic cubic hyperbolic nonlinear Schrödinger equation
Engin BaÅakoÄlu, 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 Fourie…
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…
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 loc…