7 citations · 7 across the 5 of their papers we have counts for
5 papers
Sharp Strichartz estimates on quadratic irrational tori
Rui Liang, Shunlin Shen, Yuzhao Wang
We prove sharp Strichartz estimates for two-dimensional periodic Schrödinger flows with integral diagonal symbols where $a,b \in \mathbb Z \setminus \{0\}…
Large deviations principle for the cubic NLS equation with slowly decaying data
Rui Liang, Yuzhao Wang
In this note, we prove a sharp large derivation principle (LDP) for the cubic nonlinear Schrödinger equation with Gaussian random initial data in Fourier Lebesgue spaces. As a cons…
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…
Gibbs dynamics for fractional nonlinear Schrödinger equations with weak dispersion
Rui Liang, Yuzhao Wang
We consider the Cauchy problem for the one-dimensional periodic cubic nonlinear fractional Schr{ö}dinger equation (FNLS) with initial data distributed via its associated Gibbs meas…
Gibbs measure for the focusing fractional NLS on the torus
Rui Liang, Yuzhao Wang
We study the construction of the Gibbs measures for the {\it focusing} mass-critical fractional nonlinear Schrödinger equation on the multi-dimensional torus. We identify the sharp…