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 $\omega (k)=|k{|}^{\alpha }$. In the weakly dispersive…