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

Chenjie Fan, Yumeng Ou, Gigliola Staffilani, Hong Wang

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)142-206
Number of pages65
JournalStochastics and Partial Differential Equations: Analysis and Computations
Volume9
Issue number1
DOIs
StatePublished - Mar 2021

Keywords

  • LWP
  • NLS
  • Random Data

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics

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