Invariant Gibbs measures and global dynamics for fractional cubic Schrödinger equations on the torus

Yuzhao Wang, Haitian Yue, Chenyuan Zhang +1

We consider the defocusing Wick-ordered cubic fractional nonlinear Schrödinger equation on the two-dimensional torus with dispersion relation $\ddot{I}‰(k)=|k{|}^{\hat{I}}\pm$. In the weakly dispers…