2D-defocusing nonlinear Schrödinger equation with random data on irrational tori

Abstract We revisit the work of Bourgain on the invariance of the Gibbs measure for the cubic, defocusing nonlinear Schrödinger equation in 2D on a square torus, and we prove the equivalent result on any tori.

Bibliographic Details
Main Authors: Fan, Chenjie, Ou, Yumeng, Staffilani, Gigliola, Wang, Hong
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer US 2022
Online Access:https://hdl.handle.net/1721.1/132001.2