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arXiv · 1910.03199

2D-Defocusing Nonlinear Schr\"odinger Equation with Random Data on Irrational Tori

Chenjie Fan·Yumeng Ou·Gigliola Staffilani·Hong Wang
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Abstract

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

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Chenjie Fan, Yumeng Ou, Gigliola Staffilani, Hong Wang. 2019-10-08. 2D-Defocusing Nonlinear Schr\"odinger Equation with Random Data on Irrational Tori. https://arxiv.org/abs/1910.03199

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